FLOW DIVIDER AND FLUID LINE SYSTEM FORMED BY SAME

Abstract

A flow divider comprises a lumen having perpendicular, symmetry planes intersecting in an axis of inertia connecting the ends. Cross sectional area have radii extending from a geometric center of gravity to the wall and lying at an angle (180180) to a reference axis and being perpendicular to its axis of inertia, wherein each radius lying at an angle =0 to the relevant reference axis points away from the symmetry plane, and fulfills a formula f.sub.i(, P.sub.i) associated with its cross sectional area and defined by a coefficients set P.sub.i (P.sub.i=[a.sub.i b.sub.i m.sub.1i m.sub.2i n.sub.1i n.sub.2i n.sub.3i]) corresponding to the flow divider opening:

[00001] $\begin{matrix} R_{i} () = R_{0} .Math. r_{i} () = f_{i} (, P_{i}) = f_{i} (, [a_{i} b_{i} m_{1 i} m_{2 i} n_{1 i} n_{2 i} n_{3 i}]) \\ = R_{0} .Math. \sqrt[- n_{1 i}]{{.Math. \frac{1}{a_{i}} \cos (\frac{m_{1 i}}{4}) .Math.}^{n_{2 i}} + {.Math. \frac{1}{b_{i}} \sin (\frac{m_{2 i}}{4}) .Math.}^{n_{3 i}}}, \end{matrix}$

in such a manner that the radii R.sub.4() of a cross sectional area of the lumen fulfills a formula f.sub.4(, P.sub.4) defined by a coefficients set P.sub.4=[a.sub.4 b.sub.4 m.sub.14 m.sub.24 n.sub.14 n.sub.24 n.sub.34], with a.sub.4=(0.95 . . . 1), b.sub.4=(0.45 . . . 0.7), m.sub.14=4, m.sub.24=4, n.sub.14=3.0, n.sub.24=n.sub.14 and n.sub.34=(3 . . . 4).

Claims

1-23. (canceled)

24. A flow divider for connecting fluid lines serving for conveying a flowing fluid, comprising: a lumen surrounded by a wall and extending from a first flow divider opening located in a first flow divider end and a second flow divider opening, located spaced in the first flow divider end from the first flow divider opening, to a third flow divider opening located in a second flow divider end; wherein the lumen has a principal axis of inertia aligning the first and second flow divider ends, as well and a first symmetry plane and a second symmetry plane perpendicular thereto, and the first and second symmetry planes intersect one another in the principal axis of inertia; wherein the lumen has planar cross sectional areas, which are perpendicular to the principal axis of inertia and which have, in each case, a geometric center of gravity located in the first symmetry plane; wherein a first cross sectional area located in the first flow divider end has its geometric center of gravity removed from the principal axis of inertia of the lumen corresponds to the first flow divider opening of the flow divider; wherein a second cross sectional area is located in the first flow divider end and has its geometric center of gravity removed both from the principal axis of inertia of the lumen and also from the geometric center of gravity of the first cross sectional area corresponds to the second flow divider opening of the flow divider; wherein a third cross sectional area is located in the second flow divider end and has its geometric center of gravity lying on the principal axis of inertia of the lumen corresponds to the third flow divider opening of the flow divider; wherein each of the cross sectional areas of the lumen has a separation z.sub.i from the third cross sectional area, measured as a separation between a projection of the geometric center of gravity of such cross sectional area onto the principal axis of inertia and the geometric center of gravity of the third cross sectional area; wherein each of the cross sectional areas of the lumen has radii extending from a geometric center of gravity to the wall and, in each case, lying at an angle (180180) to a reference axis, namely an imaginary axis lying both in the cross sectional area as well as also in the first symmetry plane of the lumen and, additionally, being perpendicular to its principal axis of inertia; wherein each radius lying at an angle =0 to the relevant reference axis points away from the second symmetry plane; wherein each radius.sub.i of each cross sectional area fulfills, in each case, a formula associated with its cross sectional area and defined by a coefficients set P.sub.i (P.sub.i=[a.sub.i b.sub.i m.sub.1i m.sub.2i n.sub.1i n.sub.2i n.sub.3i]) containing, in each case, seven coefficients: a first coefficient of expansion a.sub.i, a second coefficient of expansion b.sub.i, a first symmetry coefficient m.sub.1i, a second symmetry coefficient m.sub.2i, a first form coefficient n.sub.1i, a second form coefficient n.sub.2i and a third form coefficients n.sub.3i; and wherein the coefficients are scaled to a greatest radius R.sub.0 of the third cross sectional area, namely: $\begin{matrix} R_{i} () = R_{0} .Math. r_{i} () = f_{i} (, P_{i}) = f_{i} (, [\begin{matrix} a_{i} & b_{i} & m_{1 i} & m_{2 i} & n_{1 i} & n_{2 i} & n_{3 i}]) \end{matrix} \\ = R_{0} .Math. \sqrt[- n_{1 i}]{{.Math. \frac{1}{a_{i}} \cos (\frac{m_{1 i}}{4}) .Math.}^{n_{2 i}} + {.Math. \frac{1}{b_{i}} \sin (\frac{m_{2 i}}{4}) .Math.}^{n_{3 i}}} \end{matrix},$ such that: the radii R.sub.1() of the first cross sectional area of the lumen fulfill a first formula f.sub.1(, P.sub.1) defined by a first coefficients set P.sub.1=[a.sub.1 b.sub.1 m.sub.1 m.sub.21 n.sub.11 n.sub.21 n.sub.31] with a.sub.1=(0.4 . . . 0.5), b.sub.1=(0.4 . . . 0.5), the radii R.sub.2() of the second cross sectional area of the lumen fulfill a second formula f.sub.2(, P.sub.2) defined by a second coefficients set P.sub.2=[a.sub.2 b.sub.2 m.sub.12 m.sub.22 n.sub.12 n.sub.22 n.sub.32] with a.sub.2=a.sub.1, b.sub.2=b.sub.1, m.sub.12=m.sub.1, m.sub.22=m.sub.21, n.sub.12=n.sub.11, n.sub.22=n.sub.21 and n.sub.32=n.sub.31, the radii R.sub.3() of the third cross sectional area of the lumen fulfill a third formula f.sub.3(, P.sub.3) defined by a third coefficients set P.sub.3=[a.sub.3 b.sub.3 m.sub.13 m.sub.23 n.sub.13 n.sub.23 n.sub.33] with a.sub.3=1, b.sub.3=a.sub.3, m.sub.13=4, m.sub.23=m.sub.13, n.sub.13=2.0, n.sub.23=n.sub.13 and n.sub.33=n.sub.13, and the radii R.sub.4() of a fourth cross sectional area of the lumen lying with its geometric center of gravity on the principal axis of inertia of the lumen and located at a separation z.sub.4 from the third cross sectional area, which amounts to greater than 20% of the separation z.sub.1 (z.sub.4>0.2.Math.z.sub.1) and less than 45% of the separation z.sub.1 (z.sub.4<0.45.Math.z.sub.1) fulfill a fourth formula f.sub.4(, P.sub.4) defined by a fourth coefficients set P.sub.4=[a.sub.4 b.sub.4 m.sub.14 m.sub.24 n.sub.14 n.sub.24 n.sub.34] with a.sub.4=(0.95 . . . 1), b.sub.4=(0.45 . . . 0.7), m.sub.14=4, m.sub.24=4, n.sub.14=3.0, n.sub.24=n.sub.14 and n.sub.34=(3 . . . 4).

25. The flow divider as claimed in claim 24, wherein the radii R.sub.5() of a fifth cross sectional area of the lumen lying with its geometric center of gravity on the principal axis of inertia (z) of the lumen and located at a separation z.sub.5 from the third cross sectional area, which amounts to not less than 10% of the separation z.sub.1 (z.sub.50.1.Math.z.sub.1) and no greater than 20% of the separation z.sub.1 (z.sub.50.2.Math.z.sub.1), fulfill a fifth formula f.sub.5(, P.sub.5) defined by a fifth coefficients set P.sub.5=[a.sub.5 b.sub.5 m.sub.15 m.sub.25 n.sub.15 n.sub.25 n.sub.35] with a.sub.5=(0.97 . . . 1), b.sub.5=(0.65 . . . 1), m.sub.15=4, m.sub.25=4, n.sub.15=3, n.sub.25=3 and n.sub.35=(2 . . . 3.5).

26. The flow divider as claimed in claim 25, wherein the fifth cross sectional area is so embodied that its second expansion coefficient b.sub.5 fulfills, as a function of its separation z.sub.5, scaled to the separation z.sub.1 of the first cross sectional area, a formula: $b_{5} = (\begin{matrix} 47.2 & .Math. & 47.8) \end{matrix} {(\frac{z_{5}}{z_{1}})}^{2} - (\begin{matrix} 17.5 & .Math. & 17.18 \end{matrix}) (\frac{z_{5}}{z_{1}}) + (\begin{matrix} 2.2 & .Math. & 2.4 \end{matrix});$ or wherein the fifth cross sectional area (xy.sub.5) is so embodied that its third form coefficient n.sub.35; as a function of its separation z.sub.5, scaled to the separation z.sub.1 of the first cross sectional area (xy.sub.1), fulfills a formula: $n_{3 5} = (\begin{matrix} 2.4 & .Math. & 2.6 \end{matrix}) .Math. (\frac{z_{5}}{z_{1}}) + (\begin{matrix} 7.7 & .Math. & 8 \end{matrix}),$ especially $n_{3 5} = 2.55 .Math. (\frac{z_{5}}{z_{1}}) + 7.87;$ or wherein the fifth cross sectional area is so embodied that a ratio n.sub.35/b.sub.5 of its third form coefficients n.sub.35 to its second coefficient of expansion b.sub.5 amounts to greater than 2 and/or less than 6.

27. The flow divider as claimed in claim 24, wherein for none of the cross sectional areas of the lumen is the third form coefficient n.sub.3i greater than the third form coefficient n.sub.34 of the fourth cross sectional area; and/or wherein the fourth cross sectional area is so embodied that a ratio n.sub.34/b.sub.4 of its third form coefficient n.sub.34 to its second coefficient of expansion b.sub.4 amounts to not less than 5.5 and/or no greater than 7.

28. The flow divider as claimed in claim 24, wherein the radii R.sub.6() of a sixth cross sectional area of the lumen lying with its geometric center of gravity on the principal axis of inertia of the lumen and located at a separation z.sub.6 from the third cross sectional area, which amounts to greater than 45% of the separation z.sub.1 (z.sub.6>0.45.Math.z.sub.1) and less than 60% of the separation z.sub.1 (z.sub.6<0.6.Math.z.sub.1) fulfills a sixth formula f.sub.6(, P.sub.6) defined by a sixth coefficients set P.sub.6=[a.sub.6 b.sub.6 m.sub.16 m.sub.26 n.sub.16 n.sub.26 n.sub.36] with a.sub.6=(0.98 . . . 1), b.sub.6=(0.7 . . . 0.8), m.sub.16=4, m.sub.26=4, n.sub.16=1, n.sub.26=(2 . . . 2.5) and n.sub.36=(2.1 . . . 2.8).

29. The flow divider as claimed in claim 28, wherein the sixth cross sectional area is so embodied that its third form coefficient n.sub.36, as a function of its separation z.sub.6, scaled to the separation z.sub.1 of the first cross sectional area (xy.sub.1), fulfills a formula: $n_{3 6} = (\begin{matrix} 3.4 & .Math. & 3.6 \end{matrix}) .Math. (\frac{z_{6}}{z_{1}}) + (\begin{matrix} 0.5 & .Math. & 0.7 \end{matrix}),$ especially $n_{3 6} = 3.57 .Math. (\frac{z_{6}}{z_{1}}) + 0.6 4 .$

30. The flow divider as claimed in claim 24, wherein the radii R.sub.7() of a seventh cross sectional area of the lumen lying with its geometric center of gravity removed from the principal axis of inertia (z) of the lumen and located at a separation z.sub.7 from the third cross sectional area, which amounts to greater than 70% of the separation z.sub.1 (z.sub.7>0.7.Math.z.sub.1) and less than 95% of the separation z.sub.1 (z.sub.7<0.95.Math.z.sub.1), fulfill a seventh formula f.sub.7(, P.sub.7) defined by a seventh coefficients set P.sub.7=[a.sub.7 b.sub.7 m.sub.17 m.sub.27 n.sub.17 n.sub.27 n.sub.37] with a.sub.7=(0.40 . . . 0.55), b.sub.7=a.sub.7, m.sub.17=(3 . . . 4) m.sub.27=(3 . . . 4 n.sub.17=(2.7 . . . 2.8) n.sub.27=(2.3 . . . 2.5) and n.sub.37=n.sub.27, and wherein the radii R.sub.8() of an eighth cross sectional area of the lumen lying with its geometric center of gravity removed from the principal axis of inertia of the lumen and located at a separation z.sub.8 from the third cross sectional area, which equals the separation of the seventh cross sectional area, fulfill an eighth formula f.sub.8(, P.sub.8) defined by an eighth coefficients set P.sub.8=[a.sub.8 b.sub.8 m.sub.18 m.sub.28 n.sub.18 n.sub.28 n.sub.38] with as =a.sub.7, b.sub.8=b.sub.7, m.sub.18=m.sub.17, m.sub.28=m.sub.27, n.sub.18=n.sub.17, n.sub.28=n.sub.27 and n.sub.38=n.sub.37.

31. The flow divider as claimed in claim 30, wherein the geometric center of gravity of the seventh cross sectional area of the lumen has a separation from the second symmetry plane and the geometric center of gravity of the eighth cross sectional area of the lumen has a separation x.sub.8 from the second symmetry plane, and wherein a magnitude of each of the separations x.sub.7, x.sub.8 the seventh and eighth cross sectional area scaled to the radius R.sub.7(0), respectively R.sub.8(0) of the seventh, and eighth cross sectional areas, in each case, at least equals the respective first coefficients of expansion a.sub.7, a.sub.8 the seventh, and eighth cross sectional areas and/or, in each case, corresponds at most to 1.2-times the respective first coefficients of expansion a.sub.7, a.sub.8.

32. The flow divider of claim 24, wherein for each of the cross sectional areas of the lumen the first expansion coefficient a.sub.i amounts to not less than 0.9 and/or no greater than 1; and/or wherein for each of the cross sectional areas of the lumen the second expansion coefficient b.sub.i amounts to not less than 0.4 and/or no greater than 1; and/or wherein for each of the cross sectional areas of the lumen the first form coefficient n.sub.1i amounts to not less than 2 and/or no greater than 3; and/or wherein for each of the cross sectional areas of the lumen the second form coefficient n.sub.2i amounts to not less than 2 and/or no greater than 3.

33. The flow divider as claimed in claim 24, wherein the geometric center of gravity of the first cross sectional area of the lumen has a separation x.sub.1 from the second symmetry plane and the geometric center of gravity of the second cross sectional area of the lumen has a separation x.sub.2 from the second symmetry plane, and wherein a magnitude of each of the separations x.sub.1, x.sub.2 of the first and second cross sectional areas, scaled to the radius R.sub.1(0), respectively R.sub.2(0) of the first, and second, cross sectional areas corresponds, in each case, to at least 1.05-times, especially at least 1.2-times, the first coefficient of expansion a.sub.1, a.sub.2 of the first, and second, cross sectional areas, and/or, in each case, at most 1.5-times, especially at most 1.3-times, the respective first coefficient of expansion a.sub.1, a.sub.2 of the first, and second, cross sectional areas.

34. The flow divider as claimed in claim 24, wherein none of the first coefficients of expansion a.sub.i of one of the coefficients sets P.sub.i is greater than the first expansion coefficient a.sub.1 of the first coefficients set P.sub.1; and/or wherein none of the second coefficients of expansion b.sub.i of one of the coefficients sets P.sub.i is greater than the second expansion coefficient b.sub.1 of the first coefficients set P.sub.1.

35. The flow divider as claimed in claim 24, wherein no cross sectional area has an area, which is greater than an area of the third cross sectional area; and/or wherein no cross sectional area has an area, which is less than an area of the first cross sectional area or the second cross sectional area; and/or wherein a ratio of an area of the third cross sectional area to an area of the first cross sectional area or the second cross sectional area is, in each case, greater than 1 and/or less than 1.5.

36. The flow divider as claimed in claim 24, wherein the separation z.sub.1 of the first cross sectional area from the third cross sectional area equals the separation z.sub.2 (z.sub.2=z.sub.1) of the second cross sectional area from the third cross sectional area; and/or wherein the separation z.sub.1 of the first cross sectional area from the third cross sectional area and/or the separation z.sub.2 (z.sub.2=z.sub.1) of the second cross sectional area from the third cross sectional area corresponds to a length L of the lumen.

37. The flow divider as claimed in claim 24, wherein the first flow divider opening is adapted to be connected by material bonding with a hollow cylindrical, end section of a first fluid line, in such a manner that a lumen of the first fluid line communicates with the lumen of the flow divider to form a first flow path leading through the first flow divider opening; wherein the second flow divider opening is adapted to be connected by material bonding with a hollow cylindrical, end section of a second fluid line, in such a manner that a lumen of the second fluid line communicates with the lumen of the flow divider to form a second flow path leading through the second flow divider opening for flow in parallel with the first flow path.

38. The flow divider as claimed in claim 24, wherein the wall of the flow divider is composed of a stainless steel, a special steel, a duplex steel or a super duplex steel.

39. The flow divider as claimed in claim 24, wherein the wall of the flow divider is composed of a nickel-molybdenum-alloy, especially a nickel-molybdenum-chromium-alloy.

40. A fluid line system, comprising: at least a first flow divider corresponding to a flow divider as claimed in claim 24; a first fluid line having a lumen surrounded by a wall, wherein the lumen extends from a first line end of the first fluid line to a second line end of the first fluid line; at least a second fluid line, wherein the second fluid line has a lumen surrounded by a wall, wherein the lumen extends from a first line end of the second fluid line to a second line end of the second fluid line; wherein both the first fluid line with its first line end as well as also the second fluid line with its first line end are, in each case, connected with the first flow divider end of the first flow divider, in such a manner that the lumen of the first fluid line communicates with the lumen of the first flow divider to form a first flow path leading through the first flow divider opening of the first flow divider and the lumen of the second fluid line communicates with the lumen of the first flow divider to form a second flow path leading through the second flow divider opening of the first flow divider.

41. The fluid line system as claimed in claim 40, further comprising: a second flow divider; wherein both the first fluid line with its second line end as well as also the fluid line with its second line end are, in each case, connected with the first flow divider end of the second flow divider, in such a manner that the lumen of the first fluid line communicates with the lumen of the first flow divider as well as also with the lumen of the second flow divider to form a first flow path leading both through the first flow divider opening of the first flow divider as well as also through the first flow divider opening of the second flow divider and the lumen of the second fluid line communicates with the lumen of the first flow divider as well as also with the lumen of the second flow divider to form a second flow path leading both through the second flow divider opening of the first flow divider as well as also through the second flow divider opening of the second flow divider, and connected for flow in parallel with the first flow path.

42. The fluid line system as claimed in claim 40, further comprising an electro-mechanical exciter arrangement, which is adapted to convert electrical power to mechanical power effecting mechanical oscillations of the first and second fluid lines; and/or a sensor arrangement, which is adapted to register mechanical oscillations of the first and second fluid lines and to provide at least one oscillatory signal representing oscillations of at least one of the first and second fluid lines.

43. The fluid line system as claimed in claim 40, wherein the wall of the first fluid line is composed of a stainless steel, a duplex steel or a super duplex steel; and/or wherein the wall of the second fluid line is composed of a stainless steel, a duplex steel or a super duplex steel; and/or wherein the wall of the first fluid line is composed of a nickel-molybdenum-alloy; and/or wherein the wall of the first fluid line is composed of a nickel-molybdenum-alloy.

Description

[0044] The figures of the drawing show as follows:

[0045] FIG. 1 schematically in a perspective, side view a flow divider;

[0046] FIG. 2a, 2b schematically in additional, different side views a flow divider of FIG. 1;

[0047] FIG. 3a, 3b schematic applications of a flow divider of FIG. 1 in the form of fluid line systems formed by means of a flow divider of FIG. 1;

[0048] FIG. 4 in a three dimensional graph, different cross sectional areas of a lumen of a flow divider of FIG. 1, thus corresponding flow cross sections of the flow divider;

[0049] FIG. 5a, 5b schematically, different cross sectional areas of a lumen of FIG. 4;

[0050] FIG. 6a, 6b schematically, other cross sectional areas of the lumen of FIG. 4, namely cross sectional areas located between the cross sectional area of FIG. 5b and each of the cross sectional areas of FIG. 5a;

[0051] FIG. 7a, schematically another cross sectional area of the lumen of FIG. 4, namely a cross sectional area located between the cross sectional areas of FIGS. 6a, 6b and each of the cross sectional areas of FIG. 5a;

[0052] FIG. 7b schematically, other cross sectional areas of the lumen of FIG. 4, namely, cross sectional areas located between the cross sectional area of FIG. 7a and each of the cross sectional areas of FIG. 5a;

[0053] FIG. 8 schematically in a first side view, another example of an embodiment of a fluid line system formed by means of a flow divider of FIG. 1;

[0054] FIG. 9 schematically in a perspective, second side view, the fluid line system of FIG. 8; and

[0055] FIG. 10 schematic side view of a measuring transducer formed by means of the fluid line system of FIGS. 8, 9 for measuring at least one physical, measured variable of a fluid flowing in a pipeline.

[0056] Shown schematically in FIGS. 1, 2a, 2b in different side views, an example of an embodiment of a flow divider of the invention, for example, namely a flow divider for connecting fluid lines serving for conveying a flowing fluid. The flow divider has a lumen 10* surrounded by a wall, for example, a wall of a metal. As shown in FIGS. 2a and 2b, in each case, or as directly evident from a combination of FIGS. 1, 2a and 2b, lumen 10* extends both from a first flow divider opening 10a located in a first flow divider end 10+ as well as also from a second flow divider opening 10b located in the flow divider end 10+, and, equally as well, spaced from the flow divider opening 10a, to a circularly shaped third flow divider opening 10c located in a second flow divider end 10 #. In an embodiment of the invention, the wall of the flow divider is composed of a stainless steel, for example, a special steel, especially AISI (American Iron and Steel Institute) 304, AISI 304L, AISI 316L, Material Number 1.4401, Material Number 1.4404 or UNS (Unified Numbering System for Metals and Alloys) S31603, a duplex steel, a super duplex steel, especially Material Number 1.4410 or Material Number 14501, a nickel-molybdenum-alloy, especially Hastelloy B, a nickel-molybdenum-chromium-alloy, especially Hastelloy C, or Hastelloy C-22. Alternatively or supplementally, the flow divider of the invention can, for example, also be made by an additive, or generative, production method, for example, a 3D-printing method.

[0057] For easy, equally as well, leakage free connecting of the flow divider 10 with a pipeline, the flow divider end 10 # can, for example, be held by a, in given cases, also standardized, connecting flange, or communicate with a connection nozzle, in given cases, a connection nozzle also held by such a connecting flange. The flow divider of the invention can, for example, additionally, also be a, in given cases, also integral, component of a fluid line system for conveying a flowing fluid, for example, be used in such a fluid line system, as well as also shown schematically in FIG. 3aas a line branching or, as well as also shown schematically in FIG. 3bas a line junction.

[0058] Accordingly, in an embodiment of the invention, the flow divider opening 10a of the flow divider 10 is, furthermore, adapted to be connected, in given cases, also by material bonding, with a, for example, hollow cylindricalend section of a first fluid line 100, in such a manner that, as well as also shown in FIG. 3aa lumen 100* of the fluid line 100 communicates with the lumen 10* to form a first flow path leading through the flow divider opening 10a, and the second flow divider opening 10b is adapted to be connected, especially by material bonding, with a, for example, hollow cylindricalend section of a second fluid line 200, in such a manner that, as well as also shown in FIGS. 3a, 3ba lumen 200* of the fluid line 200 communicates likewise with the lumen 10* to form a second flow path leading through the flow divider opening 10b, for example, for flow in parallel with the first flow path. The above-mentioned fluid line system can, in turn, also be a component of a measuring transducer, for example, a vibronic measuring transducer, for instance, according to one of the above mentioned patent applications, or patents, EP-A 816 807, US-A 2001/0037690, US-A 2008/0184816, US-A 2017/0219398, U.S. Pat. Nos. 4,823,613, 5,602,345, 5,796,011, WO-A 90/15310, WO-A 00/08423, WO-A 2006/107297, WO-A 2006/118557, WO-A 2008/059262, WO-A 2008/013545, WO-A 2009/048457, WO-A 2009/078880, WO-A 2009/120223, WO-A 2009/123632, WO-A 2010/059157, WO-A 2013/006171, WO-A 2013/070191, WO-A 2015/162617, WO-A 2015085025 or WO-A 2017/198440, or a, in given cases, vibronic, measuring system formed by means of such a measuring transducer, for example, a Coriolis-mass flow-measuring device or density-measuring device. Alternatively or supplementally, the fluid line system can, for example, also be a component of a transfer site for legally regulated traffic in goods, such as e.g. a dispensing plant, or transfer site, for fuels. In the case of the at least one measured variable, such can, accordingly, be, for example, a density, a viscosity or temperature of the fluid. The measured variable can, however, for example, also be a flow parameter of the fluid, for example, a mass flow or a volume flow. Particularly for the above described case, in which the fluid line system is a component of a vibronic measuring transducer, or a vibronic measuring system formed therewith, in an additional embodiment of the invention, at least the fluid line 100 is, additionally, adapted to be flowed through by fluid and during that to be caused to vibrate. Moreover, the fluid line 200 can also be adapted to be flowed through by fluid and during that to be caused to vibrate; this, for example, also in such a manner that the two fluid lines 100, 200 are flowed through by fluid at the same time and/or during that, at the same time, caused to vibrate, especially opposite-equally.

[0059] As shown schematically in FIG. 4, or as directly evident from a combination of FIGS. 1, 2a, 2b and 4, the lumen 10* of the flow divider 10 of the invention has a principal axis of inertia z imaginarily connecting the first and second flow divider ends 10+, 10 #. Additionally, the lumen 10* is mirror symmetrical, in such a manner that the lumen 10* has a first symmetry plane xz and a second symmetry plane yz perpendicular thereto. The first and second symmetry planes yz, xz imaginarily intersect one another in the principal axis of inertia z, and the lumen 10* has planar cross sectional areas xy.sub.i perpendicular to the principal axis of inertia z, with, in each case, a geometric center of gravity located in the first symmetry plane xz. Of the above described cross sectional areas xy.sub.i, a first cross sectional area xy.sub.1, located in the flow divider end 10+, equally as well, having its geometric center of gravity removed from the principal axis of inertia z, consequently having a separation x.sub.1 from the symmetry plane yz, corresponds to the flow divider opening 10a, a second cross sectional area xy.sub.2 likewise located in the flow divider end 10+, equally as well, having its geometric center of gravity both removed from the geometric center of gravity of the cross sectional area xy.sub.1 as well as also from the principal axis of inertia z of the lumen 10*, consequently having a separation x.sub.2 from the symmetry plane yz, corresponds to the flow divider opening 10b, and a circular, third cross sectional area xy.sub.3 located in the second flow divider end 10 # and having its geometric center of gravity on the principal axis of inertia z, corresponds to the flow divider opening 10c. Since the lumen 10* is mirror symmetric in the above described manner, the above described separations x1, x2 are equal and the two, for example, in each case, also circularly shaped, cross sectional areas xy.sub.1, xy.sub.2 are correspondingly congruent relative to one another. In an additional embodiment of the invention, the flow divider 10, or its lumen 10*, is, additionally, so embodied that a ratio of an area of the cross sectional area xy.sub.3 to an area of the cross sectional area xy.sub.1, or the cross sectional area xy.sub.2 is, in each case, greater than 1 and/or less than 1.5. Alternatively or supplementally, the flow divider 10, or its lumen 10*, can, furthermore, be so embodied that no cross sectional area xy.sub.i has an area, which is greater than the above-mentioned area of the cross sectional area xy.sub.3, and/or that no cross sectional area xy.sub.i has an area, which is less than an area of the cross sectional area xy.sub.1 or the cross sectional area xy.sub.2.

[0060] According to the nature of the flow divider, each of the above described cross sectional areas xy.sub.i of the lumen 10* has, as well as also shown schematically in FIG. 4, or directly evident from a combination of FIGS. 4, 5a, 5b, 6a, 6b, 7a, 7b, furthermore, in each case, a plurality of radii R.sub.i differing from one another and/or equal to one another, as well as, in each case, a separation z.sub.i from the cross sectional area xy.sub.3, measured as a separation between a projection of the geometric center of gravity of the given cross sectional area xy.sub.i onto the principal axis of inertia z to the geometric center of gravity of the cross sectional area xy.sub.3. The separation z.sub.1 of the cross sectional area xy.sub.1 from the cross sectional area xy.sub.3 is, in such case, equal to the separation z.sub.2 (z.sub.2=z.sub.1) of the cross sectional area xy.sub.2 from the cross sectional area xy.sub.3. Additionally, the above-mentioned separation z.sub.1, or the separation z.sub.2 (z.sub.2=z.sub.1) can correspond to a (total-) length L of the lumen 10*, and thus to a structural length of the flow divider 10. Moreover, the lumen 10* has, furthermore, for initiating a dividing into flow portions, or for bringing flow portions back together, a bifurcation (forking point), or perhaps more accurately, a bifurcation area xy.sub.B, namely a cross sectional area forming with its geometric center of gravity the bifurcation. In an additional embodiment of the invention, it is provided that a separation z.sub.B of the bifurcation area xy.sub.B from the cross sectional area xy.sub.3 amounts to greater than 55% of the separation z.sub.1 (z.sub.B>0.55.Math.z.sub.1) and/or less than 65% of the separation z.sub.1 (z.sub.B<0.65.Math.z.sub.1).

[0061] As also shown in FIGS. 5a, 5b, 6a, 6b, 7a, 7b, each of the above described radii R.sub.i of each cross sectional area xy.sub.i extends, in each case, from the particular geometric center of gravity of the cross sectional area xy.sub.i to the wall and has, in each case, an angle (180180) from a reference axis x.sub.i, namely an imaginary axis lying both in the particular cross sectional area xy.sub.i as well as also in the first symmetry plane xz of the lumen 10* and, additionally, being perpendicular to its principal axis of inertia z, wherein each radius R.sub.i(0) extending at an angle =0 to the relevant reference axis x.sub.i, in each case, points away from the symmetry plane yz of the lumen 10*. Additionally, each radius R.sub.i() of each cross sectional area xy.sub.i fulfills, in each case, a formula f.sub.i(, P.sub.i) defined by a coefficients set (parameter vector) P.sub.i (P.sub.i=[a.sub.i b.sub.i m.sub.1i m.sub.2i n.sub.1i n.sub.2i n.sub.3i]) for the particular cross sectional area xy.sub.i and containing seven coefficients, namely, in each case, a first coefficient of expansion a.sub.i, a second coefficient of expansion b.sub.i, a first symmetry coefficient m.sub.1i, a second symmetry coefficient m.sub.2i, a first form coefficient n.sub.1i, a second form coefficient n.sub.2i and a third form coefficient n.sub.3i, consequently parameterized with only a few variables, and, in each case, scaled to the greatest radius R.sub.0 of the third cross sectional area xy.sub.3 (R.sub.i()/R.sub.0.fwdarw.r.sub.i()):

[00009] $\begin{matrix} R_{i} () = R_{0} .Math. r_{i} () = f_{i} (, P_{i}) = f_{i} (, [a_{i} b_{i} m_{1 i} m_{2 i} n_{1 i} n_{2 i} n_{3 i}]) \\ = R_{0} .Math. \sqrt[- n_{1 i}]{{.Math. \frac{1}{a_{i}} \cos (\frac{m_{1 i}}{4}) .Math.}^{n_{2 i}} + {.Math. \frac{1}{b_{i}} \sin (\frac{m_{2 i}}{4}) .Math.}^{n_{3 i}}} . \end{matrix}$

[0062] Accordingly, the radii R.sub.1() of the cross sectional area xy.sub.1 fulfill a first formula f.sub.1(, P.sub.1) defined by a first coefficients set P.sub.1=[a.sub.1 b.sub.1 m.sub.11 m.sub.21 n.sub.11 n.sub.21 n.sub.31], the radii R.sub.2() of the cross sectional area xy.sub.2 fulfill a second formula f.sub.2(, P.sub.2) defined by a second coefficients set P.sub.2=[a.sub.2 b.sub.2 m.sub.12 m.sub.22 n.sub.12 n.sub.22 n.sub.32], and the radii R.sub.3() of the cross sectional area xy.sub.3 fulfill a third formula f.sub.3(, P.sub.3) defined by a third coefficients set P.sub.3=[a.sub.3 b.sub.3 m.sub.13 m.sub.23 n.sub.13 n.sub.23 n.sub.33], wherein the coefficients set P.sub.1 for the radii R.sub.1() is determined with a.sub.1=(0.4 . . . 0.5), b.sub.1=(0.4 . . . 0.5), m.sub.11=4, m.sub.21=4, n.sub.11=(2 . . . 3), for example, with n.sub.11=2.8, n.sub.21=(2 . . . 3), for example, with n.sub.21=2.2 and n.sub.31=(2 . . . 3), for example, with n.sub.31=2.2. Sincesuch as already indicatedthe two cross sectional area xy.sub.1, xy.sub.2 are embodied to be congruent, the two formulae f.sub.1(, P.sub.1), f.sub.2(, P.sub.2) are equal, and, correspondingly, the coefficients sets P.sub.1, P.sub.2 are equal, i.e. P.sub.2=P.sub.1, consequently a.sub.2=a.sub.1, b.sub.2=b.sub.1, m.sub.12=m.sub.11, m.sub.22=m.sub.21, n.sub.12=n.sub.11, n.sub.22=n.sub.21 and n.sub.32=n.sub.31. For the mentioned case, in which the two cross sectional area xy.sub.1, xy.sub.2 are circular, is, additionally, the coefficient of expansion b.sub.1 of the coefficients set P.sub.1 and the coefficient of expansion b.sub.2 of the coefficients set P.sub.2 are each selected equal to the coefficient of expansion a.sub.1, such that, thus, b.sub.1=b.sub.2=a.sub.1.fwdarw.R.sub.1()=R.sub.2()=a.sub.1.Math.R.sub.0=const. For the coefficients set P.sub.3 for determining the radii R.sub.3() of the circularly shaped cross sectional area xy.sub.3, b.sub.3=a.sub.3, m.sub.13=4, m.sub.23=m.sub.13, n.sub.13=2, n.sub.23=n.sub.13 and n.sub.33=n.sub.13, wherein, in turn, its expansion coefficient a.sub.3 is set equal to one (a.sub.3=1).

[0063] In an additional embodiment of the invention, the flow divider 10, and its lumen 10*, are so embodied that a magnitude of each of the above described separations x.sub.1, x.sub.2 of the geometric centers of gravity of the cross sectional areas xy.sub.1, xy.sub.2 scaled to the radius R.sub.1(0), respectively R.sub.2(0) of the respective first, and second, cross sectional areas corresponds, in each case, to at least 1.05-times (x.sub.1/R.sub.1(0)1.05.Math.a.sub.1, x.sub.2/R.sub.2(0)1.05.Math.a.sub.2), especially at least 1.2-times (x.sub.1/R.sub.1(0)1.2.Math.a.sub.1, x.sub.2/R.sub.2(0)1.2.Math.a.sub.2), the first coefficient of expansion a.sub.1. a.sub.2 and/or, in each case, at most 1.5-times (x.sub.1/R.sub.1(0)1.5.Math.a.sub.1, x.sub.2/R.sub.2(0)1.5.Math.a.sub.2), especially at most 1.3-times (x.sub.1/R.sub.1(0)1.3.Math.a.sub.1, x.sub.2/R.sub.2(0)1.3.Math.a.sub.2), the first coefficient of expansion a.sub.1. a.sub.2.

[0064] In an additional embodiment of the invention, the flow divider 10, and its lumen 10* are so embodied that for each of the above described cross sectional areas xy.sub.i of the lumen 100, and each of the above described coefficients sets P.sub.i, the first expansion coefficient a.sub.i amounts to not less than 0.9 and/or no greater than 1, and/or that for each of the cross sectional areas xy.sub.i, and each of the above described coefficients sets P.sub.i, the second expansion coefficient b.sub.i amounts to not less than 0.4 and/or no greater than 1. Alternatively or supplementally, the flow divider 10 is, furthermore, so embodied that of each of the above described cross sectional areas xy.sub.i, and each of the above described coefficients sets P.sub.i, the first form coefficient n.sub.1i amounts to not less than 2 and/or no greater than 3, and/or that for each of the above described cross sectional areas xy.sub.i, and each of the above described coefficients sets P.sub.i, the second form coefficient n.sub.2i amounts to not less than 2 and/or no greater than 3. Particularly for the above-described case, in which none of the cross sectional areas xy.sub.i should have an area, which is greater than the surface area of the cross sectional area xy.sub.3, it is, additionally, provided that none of the first coefficients of expansion a.sub.1 of one of the coefficients sets P.sub.i is greater than the expansion coefficient a.sub.1 of the coefficients set P.sub.1 or of the associated cross sectional area xy.sub.1 and/or none of the second coefficients of expansion b.sub.i of one of the coefficients sets P.sub.i is greater than the expansion coefficient b.sub.1 of the coefficients set P.sub.1 or of the associated cross sectional area xy.sub.1.

[0065] The lumen 10* of the flow divider 10 has, according to the invention, furthermore, at least a fourth cross sectional area xy.sub.4, which lies with its geometric center of gravity likewise on the principal axis of inertia z of the lumen 10*. Cross sectional area xy.sub.4 is located in the flow divider at a separation z.sub.4 from the cross sectional area xy.sub.3, which amounts to greater than 20% of the separation z.sub.1 (z.sub.4>0.2.Math.z.sub.1) and less than 45% of the separation z.sub.1 (z.sub.4<0.45.Math.z.sub.1). According to the invention, the cross sectional area xy.sub.4 is, additionally, so embodied that its radii R.sub.4() fulfill a fourth formula f.sub.4(, P.sub.4) defined by a fourth coefficients set P.sub.4=[a.sub.4 b.sub.4 m.sub.14 m.sub.24 n.sub.14 n.sub.24 n.sub.34] with a.sub.4=(0.95 . . . 1), b.sub.4=(0.45 . . . 0.7), m.sub.14=4, m.sub.24=4, n.sub.13=3.0, n.sub.24=n.sub.14 and n.sub.34=(3 . . . 4), consequently that, as well as also shown, in each case, in FIGS. 6a and 6bthe cross sectional area xy.sub.4 corresponds to a superellipse approximating a rectangular shape.

[0066] In an additional embodiment of the invention, it is, furthermore, provided that a ratio n.sub.34/b.sub.4 of the above described form coefficient n.sub.34 to the above described coefficient of expansion b.sub.4 amounts to not less than 5.5 and/or no greater than 7 and/or that the radii R.sub.4() of the above described flow cross section xy.sub.4 correspond as a function of the separation z.sub.4 from cross sectional area xy.sub.3 to one or more of the following coefficients sets P.sub.4:

TABLE-US-00001 z.sub.4 a.sub.4 b.sub.4 m.sub.14 m.sub.24 n.sub.14 n.sub.24 n.sub.34 0.202 0.98 0.64 4 4 3 3 3.8 0.23 0.98 0.6 4 4 3 3 3.8 0.25 0.98 0.55 4 4 3 3 3.2 0.27 0.98 0.55 4 4 3 3 3.2 0.299 0.98 0.5 4 4 3 3 3.2 0.4 1 0.48 4 4 3 3 3.2

[0067] In another embodiment of the invention, it is, additionally, provided that none of the cross sectional areas xy.sub.i of the lumen 10*, which are located between the above described superelliptical cross sectional area xy.sub.4 and the cross sectional areas xy.sub.1, xy.sub.2 or whose separation z.sub.i from the cross sectional area xy.sub.3 is greater than the separation z.sub.4 and less than the separation z.sub.1, z.sub.2, especially at least less than 95% of the separation z.sub.1, z.sub.2, is embodied circularly and/or that also none of the cross sectional areas xy.sub.i of the lumen 10*, whose separation z.sub.i from the cross sectional area xy.sub.3 is less than the above-mentioned separation z.sub.4 and at least greater than 0.1, is embodied circularly shaped. Alternatively thereto or in supplementation thereof, it is, additionally, provided that no others of the cross sectional areas xy.sub.i have the third form coefficient n.sub.3i greater than the above-mentioned form coefficient n.sub.34.

[0068] In an additional embodiment of the invention, the lumen 10* has, accordinglyparticularly also for the purpose of forming a (first) transitional region mediating between the circularly shaped cross sectional area xy.sub.3 and the superelliptical cross sectional area xy.sub.4 of the lumen 10* with as little pressure loss as possible, furthermore, a fifth cross sectional area xy.sub.5, which lies with its geometric center of gravity likewise on the principal axis of inertia z, and, indeed, at a separation z.sub.5 from the cross sectional area xy.sub.3, which amounts to not less than 10% of the separation z.sub.1 (z.sub.50.1.Math.z.sub.1) and no greater than 20% of the separation z.sub.1 (z.sub.50.2.Math.z.sub.1), and whose radii R.sub.5() fulfill a fifth formula f.sub.5(, P.sub.5) defined by a fifth coefficients set P.sub.5=[a.sub.5 b.sub.5 m.sub.15 m.sub.25 n.sub.15 n.sub.25 n.sub.35] determined with a.sub.5=(0.97 . . . 1), b.sub.5=(0.65 . . . 1), m.sub.15=4, m.sub.25=4, n.sub.15=3, n.sub.25=3 and n.sub.35=(2 . . . 3.5). In order to be able to make the above described transitional region effectively proficient, namely effecting disturbances in the flow profile as little as possible, and causing as little as possible pressure loss, equally as well as short as possible in the direction of the principal axis of inertia z, it is, in an additional embodiment of the invention, furthermore, provided that the above-mentioned expansion coefficient b.sub.5 fulfills, as a function of its separation z.sub.5, normalized to the separation z.sub.1 of the first cross sectional area xy.sub.1, a formula:

[00010] $b_{5} = (47.2 .Math. 47.8) .Math. {(\frac{z_{5}}{z_{1}})}^{2} - (17.5 .Math. 17.18) .Math. (\frac{z_{5}}{z_{1}}) + (2.2 .Math. 2.4),$

for example,

[00011] $b_{5} = 47.51 .Math. {(\frac{z_{5}}{z_{1}})}^{2} - 17.88 .Math. (\frac{z_{5}}{z_{1}}) + 2.3 1,$

and/or that the above-mentioned form coefficient n.sub.35 fulfills, as a function of its separation z.sub.5, normalized to the separation z.sub.1 of the first cross sectional area (xy.sub.1), a formula:

[00012] $n_{3 5} = (\begin{matrix} 2.4 & .Math. & 2.6 \end{matrix}) .Math. (\frac{z_{5}}{z_{1}}) + (\begin{matrix} 7.7 & .Math. & 8 \end{matrix}),$

for example,

[00013] $n_{3 5} = 2.55 .Math. (\frac{z_{5}}{z_{1}}) + 7.8 7 .$

Alternatively or supplementally, in an additional embodiment of the invention, it is provided that the radii R.sub.5() of the above described cross sectional area xy.sub.5 correspond, as a function of the separation z.sub.5 from the cross sectional area xy.sub.3, to one or more of the following coefficients sets P.sub.5:

TABLE-US-00002 z.sub.5 a.sub.5 b.sub.5 m.sub.15 m.sub.25 n.sub.15 n.sub.25 n.sub.35 0.1 1 1 4 4 2 2 2 0.12 1 0.9 4 4 3 3 2 0.13 0.98 0.8 4 4 3 3 3 0.14 0.98 0.75 4 4 3 3 3 0.15 0.98 0.7 4 4 3 3 3

[0069] In an additional embodiment of the invention, the lumen 10* hasparticularly also for the purpose of forming a (second) transitional region mediating between the superelliptical cross sectional area xy.sub.4 of the lumen 10* and the above described bifurcation area with as little as possible pressure loss, furthermore, a sixth cross sectional area xy.sub.6, which, as well as also shown in FIG. 7alies with its geometric center of gravity on the principal axis of inertia z, namely at a separation z.sub.6 from the cross sectional area xy.sub.3, which amounts to greater than 45% of the separation z.sub.1 (z.sub.6>0.45.Math.z.sub.1) and less than 60% of the separation z.sub.1 (z.sub.6<0.6.Math.z.sub.1), and whose radii R.sub.6() fulfill a sixth formula f.sub.6(, P.sub.6) defined by a sixth coefficients set P.sub.6=[a.sub.6 b.sub.6 m.sub.16 m.sub.26 n.sub.16 n.sub.26 n.sub.36] defined with a.sub.6=(0.98 . . . 1), b.sub.6=(0.7 . . . 0.8), m.sub.16=4, m.sub.26=4, n.sub.16=1, n.sub.26=(2 . . . 2.5) and n.sub.36=(2.1 . . . 2.8); this, especially, in such a manner that its third form coefficient n.sub.36, as a function of the separation z.sub.6, normalized to the separation z.sub.1, fulfills a formula:

[00014] $n_{3 6} = (\begin{matrix} 3.4 & .Math. & 3.6 \end{matrix}) .Math. (\frac{z_{6}}{z_{1}}) + (\begin{matrix} 0.5 & .Math. & 0.7 \end{matrix}),$

for example, namely

[00015] $n_{3 6} = 3.57 .Math. (\frac{z_{6}}{z_{1}}) + 0.6 4 .$

Alternatively or supplementally, in an additional embodiment of the invention, it is provided that the radii R.sub.6() of the above described cross sectional area xy.sub.6 as a function of the separation z.sub.6 from the cross sectional area xy.sub.3, correspond to one or more of the following coefficients sets P.sub.6:

TABLE-US-00003 z.sub.6 a.sub.6 b.sub.6 m.sub.16 m.sub.26 n.sub.16 n.sub.26 n.sub.36 0.492 0.99 0.72 4 4 1 2.1 2.4 0.55 0.99 0.75 4 4 1 2.1 2.6

[0070] Particularly also for the purpose of forming a transitional region mediating between the above described bifurcation area and the, in given cases, circularly shaped cross sectional area xy.sub.1, and the, in given cases, likewise circularly shaped cross sectional area xy.sub.2, the lumen 10* of an additional embodiment of the invention, such as also indicated in FIG. 7b, has, furthermore, a seventh cross sectional area xy.sub.7 removed with its geometric center of gravity from the principal axis of inertia z, located at a separation z.sub.7 from the third cross sectional area xy.sub.3, which amounts to greater than 70% of the separation z.sub.1 (z.sub.7>0.7 z.sub.1) and less than 95% of the separation z.sub.1 (z.sub.7<0.95.Math.z.sub.1), as well as an eighth cross sectional area xy.sub.8 removed with its geometric center of gravity both from the principal axis of inertia z as well as also from the geometric center of gravity of the above described cross sectional area xy.sub.7, and located at a separation z.sub.8 from the third cross sectional area xy.sub.3, which equals the separation z.sub.7. The radii R.sub.7() of the cross sectional area xy.sub.7 fulfill a seventh formula f.sub.5(, P.sub.7) defined by a seventh coefficients set P.sub.7=[a.sub.7 b.sub.7 m.sub.17 m.sub.27 n.sub.17 n.sub.27 n.sub.37] with a.sub.7=(0.40 . . . 0.55), b.sub.7=a.sub.7, m.sub.17=3 m.sub.27=3 n.sub.17=(2.7 . . . 2.8), n.sub.27=(2.3 . . . 2.5) and n.sub.37=n.sub.27. Moreover, it is provided that the cross sectional area xy.sub.8, as well as also directly evident from FIG. 7bis congruent with the cross sectional area xy.sub.7, consequently that the radii R.sub.8() fulfill an eighth formula f.sub.8(, P.sub.8) defined by an eighth coefficients set P.sub.8=[a.sub.8 b.sub.8 m.sub.18 m.sub.28 n.sub.18 n.sub.28 n.sub.38] with a.sub.8=a.sub.7, b.sub.8=b.sub.7, m.sub.18=m.sub.17, m.sub.28=m.sub.27, n.sub.18=n.sub.17, n.sub.28=n.sub.27 and n.sub.38=n.sub.37; this, especially, also in such a manner that the geometric center of gravity of the cross sectional area xy.sub.7 has a separation x.sub.7 from the second symmetry plane yz and the geometric center of gravity of the cross sectional area xy.sub.8 has a separation x.sub.8 from the second symmetry plane yz, and a magnitude of each of the separations x.sub.7, x.sub.8 of the cross sectional area, xy.sub.7, xy.sub.8, scaled to the radius R.sub.7(0), respectively R.sub.8(0), of the seventh, and eighth, cross sectional areas xy.sub.7, xy.sub.8, in each case, at least equals the respective first coefficients of expansion a.sub.7, a.sub.8 of the seventh, and eighth cross sectional areas xy.sub.7, xy.sub.8 (x.sub.7/R.sub.7(0)a.sub.7, x.sub.8/R.sub.8(0)a.sub.8) and/or, in each case, corresponds at most to 1.2-times the first coefficients of expansion a.sub.7, a.sub.8 of the cross sectional areas xy.sub.7, xy.sub.8 (x.sub.7/R.sub.7(0)1.2.Math.a.sub.7, x.sub.8/R.sub.8(0)1.2.Math.a.sub.8). In an additional embodiment of the invention, it is, additionally, provided that the two coefficients of expansion a.sub.7 and b.sub.7 as a function of the selected separation z.sub.7, normalized to the separation z.sub.1, fulfill a formula:

[00016] $a_{7} = b_{7} = 309.5 {(\frac{z_{7}}{z_{1}})}^{3} - 705 {(\frac{z_{7}}{z_{1}})}^{2} + 524.3 (\frac{z_{7}}{z_{1}}) - 126$

[0071] and/or that the two symmetry coefficients m.sub.17 and m.sub.27 as a function of the selected separation z.sub.7, scaled to the separation z.sub.1, fulfill a formula

[00017] $m_{17} = m_{27} = - 205.4 {(\frac{z_{7}}{z_{1}})}^{3} + 466.4 {(\frac{z_{7}}{z_{1}})}^{2} - 345.3 (\frac{z_{7}}{z_{1}}) + 86.7$

[0072] and/or that the form coefficient n.sub.17 as a function of the selected separation z.sub.7, normalized to the separation z.sub.1, fulfills a formula:

[00018] $n_{17} = - 1068 {(\frac{z_{7}}{z_{1}})}^{3} + 2425.2 {(\frac{z_{7}}{z_{1}})}^{2} - 1795.4 (\frac{z_{7}}{z_{1}}) + 433$

[0073] and/or that the form coefficients n.sub.27 and n.sub.37 as a function of the separation z.sub.7, normalized to the separation z.sub.1, fulfill a formula:

[00019] $n_{27} = n_{37} = 71.4 {(\frac{z_{7}}{z_{1}})}^{3} - 159 {(\frac{z_{7}}{z_{1}})}^{2} + 115 (\frac{z_{7}}{z_{1}}) - 24.4 .$

[0074] In an additional embodiment of the invention, it is, additionally, provided that the radii R.sub.B1,i() of a ninth cross sectional area xy.sub.B1,i located between the previously indicated bifurcation area xy.sub.B and the above described cross sectional area xy.sub.7 fulfill a ninth formula f.sub.9(, P.sub.B1) defined by a ninth coefficients set P.sub.B1=[a.sub.B1 b.sub.B1 m.sub.B11 m.sub.B12 n.sub.B11 n.sub.B12 n.sub.B13] with a.sub.B1=(1.7 . . . 1.8), b.sub.B1=a.sub.B1, m.sub.B11=3, m.sub.B12=3, n.sub.B11=2.4, n.sub.B12=(2.7 . . . 2.8) and n.sub.B12=n.sub.B13 and that the radii R.sub.B2,i() of a tenth cross sectional area xy.sub.B2,i located between the previously indicated bifurcation area xy.sub.B and the above described cross sectional area xy.sub.8 fulfill a tenth formula f.sub.10(, P.sub.B2) defined by a tenth coefficients set P.sub.B2=[a.sub.B2 b.sub.B2 m.sub.B21 m.sub.B22 n.sub.B11 n.sub.B22 n.sub.B23] with P.sub.B2=P.sub.B1; this, especially, in such a manner that the radii R.sub.B1() as a function of the separation from the cross sectional area xy.sub.3, consequently the radii R.sub.B2() as a function of the separation z.sub.B2, correspond to one or more of the following coefficients sets P.sub.B1:

TABLE-US-00004 z.sub.B1 a.sub.B1 b.sub.B1 m.sub.B11 m.sub.B12 n.sub.B11 n.sub.B12 n.sub.B13 0.604 1.7 1.7 3 3 2.4 2.8 2.8 0.7 1.8 1.8 3 3 2.4 2.7 2.7

[0075] In an additional embodiment of the invention, the flow divider 10 is, such as already mentioned, embodied as a component of a fluid line system serving for conveying, or transferring, a flowing fluid, for example, a liquid, a gas or a dispersion, or is used in such a fluid line system. The fluid line system can, for example, be provided, or adapted, to divide arriving fluid , for example, via a connected supply segment of a pipelineinto two flow portions and to convey these in a flow direction of the fluid line system further along two parallel flow paths. Alternatively or supplementally, the above-mentioned fluid line system can also be adapted to bring two flow portions conveyed along two parallel flow paths together to form one fluid stream and to output this, for example, to a connected drain segment of a pipeline. For such purpose, the fluid line system includes in an additional embodiment of the invention, as well as also shown in FIGS. 3a, 3b, besides the flow dividers 10, a first fluid line 100 , for example, embodied as a rigid and/or at least sectionally circularly cylindrical tubewith a lumen 100* surrounded by a wall, for example, of a metal, and extending from a first line end 100+ of the fluid line 100 to a second line end (not shown) of the fluid line 100 as well as at least a second fluid line 200 , for example, embodied as a rigid and/or at least sectionally circularly cylindrical tube and/or constructed equally to the fluid line 100with a lumen 200* surrounded by a wall, for example, of a metal, and extending from a first line end 200+ to a second line end 200 #. In an additional embodiment of the invention, the wall of the fluid line 100 is composed of the same material as the wall of the fluid line 200 and/or the walls of the first and second fluid lines 100, 200 are of the same material as the wall of the flow divider 10. Alternatively or supplementally, it is, additionally, provided that the wall of the fluid line 100 and/or the wall of the fluid line 200 is composed, in each case, of a stainless steel, for example, a special steel, especially AISI (American Iron and Steel Institute) 304, AISI 304L, AISI 316L, Material Number 1.4401, Material Number 1.4404 or UNS (Unified Numbering system for Metals and Alloys) S31603, a duplex steel, a super duplex steel, especially. Material Number 1.4410 or Material Number 14501, a nickel-molybdenum-alloy, especially Hastelloy B, a nickel-molybdenum-chromium-alloy, especially Hastelloy C, or Hastelloy C-22.

[0076] As shown in FIG. 3b, or directly evident from a combination of FIGS. 3b and 3a, in the case of the above described fluid line system, both the fluid line 100 with its line end 100+ as well as also the fluid line 200 with its line end 200+ can, in each case, be connected with the flow divider end 10+ of the flow divider 10, in such a manner that the lumen 100* of the fluid line 100 communicates with the lumen 10* of the flow divider 10 to form a flow path leading through the flow divider opening 10a of the flow divider 10 and the lumen 200* of the fluid line 200 communicates with the lumen 10* of the flow divider 10 to form a flow path leading through the flow divider opening 10b of the flow divider 10.

[0077] In an additional embodiment of the invention, the above-mentioned fluid line system comprises, as well as also shown schematically in FIGS. 8 and 9, furthermore, an additional (second) flow divider 20 corresponding to the (first) flow divider 10, having a lumen 20* (namely a lumen 20* surrounded by a wall) extending both from a first flow divider opening 20a located in a first flow divider end 20+ as well as also from a second flow divider opening 20b located in the flow divider end 20+ and spaced from the flow divider opening 20a to a circularly shaped, third flow divider opening 10c located in a second flow divider end 20 #, which (second) flow divider 20 is likewise connected with the two previously indicated fluid lines 100, 200; this, especially, in such a manner that, as well as also directly evident from FIGS. 8, 9, both the fluid line 100 with its line end 100 # as well as also the fluid line 200 with its line end 200 # are connected with the first flow divider end 20+ of the flow divider 20, in such a manner that the lumen 100* of the fluid line 100 communicates with the lumen 10* of the flow divider 10 to form a first flow path leading both through the flow divider opening 10a of the flow divider 10 as well as also through a first flow divider opening of the flow divider 20 and the lumen 200* of the fluid line 200 communicates with the lumen 20* of the second flow divider 20 to form a second flow path leading both through the flow divider opening 10b of the flow divider 10 as well as also through a second flow divider opening of the flow divider 20 for flow in parallel with the first flow path. In an additional embodiment of the invention, the flow divider 20 is of construction equal to that of the flow divider 10, or identically embodied.

[0078] For the above described case, in which the fluid line system is a component of a measuring transducer, or a measuring system formed therewith, the fluid line system includes in an additional embodiment of the invention, furthermore, a sensor arrangement, which is adapted to provide at least one, for example, electrical and/or analog, measurement signal s1 representing the at least one measured variable; this, especially, in such a manner that the measurement signal s1 has at least one signal parameter dependent on the measured variable, namely changes as a function of the measured variable. Serving as a signal parameter dependent on the measured variable is, in turn, for example, a signal level dependent on the at least one measured variable, a signal frequency dependent on the measured variable and/or a phase angle of the measurement signal dependent on the measured variable. The sensor arrangement can, such as shown in FIG. 10, be placed outside of the fluid lines 100, 200, equally as well, in their vicinity, for example, also in such a manner that the sensor arrangement is mounted on at least one of the fluid lines 100, 200. In an additional embodiment of the invention, the sensor arrangement is, furthermore, adapted to register mechanical oscillations of at least one of the two fluid lines 100, 200, for example, bending oscillations of the fluid line 100 and/or the fluid line 200 at one or more resonance frequencies of the fluid line system, and to provide at least one oscillatory signal representing oscillations of at least one of the fluid lines, and serving as a measurement signal. The sensor arrangement can have for this, for example, an electrodynamic oscillation sensor 51 and/or an oscillation sensor 51 differentially registering oscillatory movements of the two fluid lines 100, 200.

[0079] In an additional embodiment, the fluid line system includes, furthermore, an electromechanical-exciter arrangement, which is adapted to convert electrical power into mechanical power effecting mechanical oscillations of the fluid lines, for example, the above described bending oscillations of the fluid line 100 and/or the fluid line 200. The exciter arrangement can be formed, for example, by means of at least one electrodynamic oscillation exciter 41 and/or an oscillation exciter 41 acting differentially on the two fluid lines 100, 200. Particularly for the mentioned case, in which the fluid line system is provided to measure mass flow based on Coriolis forces generated in the flowing fluid, the sensor arrangement, or the fluid line system formed therewith, can, as well as also indicated in FIG. 10, have, supplementally to the oscillation sensor 51, additionally, also at least a second oscillation sensor 52 for producing at least a second oscillation measurement signal corresponding to the measured variable, especially an electrical and/or analog measurement signalserving as a second measurement signal s2. The oscillation sensor 52 can be of construction equal to that of the oscillation sensor 51 and/or positioned removed from the fluid line 100, or the fluid lines 100, 200 with equal separation as the oscillation sensor 51. Alternatively or supplementally, the oscillation sensors 51, 52 can be positioned symmetrically to the above described oscillation exciter 41, for example, also in such a manner that, such as shown in FIG. 10 and as quite usual in the case of vibronic measuring transducers, the oscillation sensor 52 is farther removed from the flow divider 10 than the oscillation sensor 51, or, conversely, the oscillation sensor 51 is farther removed from the flow divider 20 than the oscillation sensor 52 and/or in such a manner that the oscillation sensor 51 is equally far removed from the flow divider 10 as the oscillation sensor 52 is from the flow divider 20.

[0080] For the purpose of processing, or evaluating, the at least one measurement signal s1, or the measurement signals s1, s2, a measuring system formed by means of the above described fluid line system can, furthermore, comprise, electrically coupled with the sensor arrangement, a measuring- and operating electronics, for example, one formed by means of at least one microprocessor and/or one digital signal processor (DSP), which in advantageous manner, can, in turn, be accommodated in a protective housing 5000, which is, in sufficient measure, dust- and watertight, or impact- and explosion resistant. Especially, such a measuring- and operating electronics can, furthermore, be adapted to process the at least one measurement signal s1, or the measurement signals s1, s2, for example, to ascertain by means of the measurement signal s1 and/or of the measurement signal s2 measured values for the at least one measured variable. For the above described case, in which the fluid line system is equipped with at least one oscillation exciter 41, the measuring- and operating electronics 500 can, additionally, be electrically coupled with the oscillation exciter 41 and, additionally, adapted to supply an electrical excitation signal e1 to the above described oscillation exciter 41, and the oscillation exciter 41 can, additionally, be adapted to convert electrical power supplied by means of the excitation signal e1 into mechanical oscillations of at least the fluid line 100, or to convert electrical power supplied by means of the excitation signal e1 into mechanical power effecting mechanical oscillations of both the fluid line 100 as well as also the fluid line 200.

[0081] As indicated in FIG. 10, the fluid line system can, particularly also in the case of its use in a measuring system, comprise, furthermore, a protective housing 1000 for the fluid lines 100, 200. The protective housing 1000 shown in FIG. 10 has a cavity surrounded by a wall and within which the fluid line 100 and at least the fluid line 200 are placed. Particularly for the purpose of forming a sufficiently torsion- and bending-resistant, impact- and pressure resistant, protective housing, its wall can be made, for example, of a metal, for instance, a stainless steel, and/or, such as quite usual and shown in FIG. 10, be embodied at least partially hollow cylindrically. As, furthermore, shown in FIG. 10, additionally, a first housing end 1000+ of the protective housing 1000 can be formed by means of the flow divider 10, for instance, in such a manner that the flow divider 10 is an integral component of the protective housing and/or that the protective housing 1000 has a side wall laterally bounding the above-mentioned opening, which is fixed laterally on the flow divider 10, or connected to such by material bonding. Moreover, additionally, also a second housing end 1000 # of the protective housing 1000 can be formed by means of the flow divider 20, for example, also such that both the flow divider 10 as well as also the flow divider 20 are, in each case, integral components of the protective housing, or that the protective housing 1000 has a side wall laterally bounding the opening and laterally secured both to the flow divider 10 as well as also to the flow divider 20, or connected with the first fluid line by material bonding.

FLOW DIVIDER AND FLUID LINE SYSTEM FORMED BY SAME

Inventors

Cpc classification

Classification Explorer

F16L41/023

MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING

Classification Explorer

G01F15/185

PHYSICS

Classification Explorer

G01F1/8404

PHYSICS

International classification

Classification Explorer

F16L41/02

MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING

Abstract

Claims

Description