VARIABLE DIAMETER VALVE BORES FOR THRU ROD FLUID ENDS
20250163902 ยท 2025-05-22
Inventors
- Konner Casey Kay (Broken Arrow, OK, US)
- Adam Bradley Avey (Tulsa, OK, US)
- Christopher Calvin Call (Broken Arrow, OK, US)
Cpc classification
F04B49/18
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F04B49/12
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F04B43/06
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F04B53/1087
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
International classification
F04B39/10
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F04B43/06
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F04B49/12
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F04B49/18
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
Abstract
A relationship between tie rods and a valve seat bore in a fluid end. The profile of the valve seat bores are changed to allow the tie rods to pass through the fluid end without intersecting or intercepting the internal bore geometry, while still being compatible with industry standard internal components. A relationship between a plunger bore diameter and a flow area of a valve seat in a fluid end is used to identify acceptable fluid end casing designs that can be used with industry standard couplers, such as tie rods.
Claims
1. A reciprocating pump, comprising: a power end configured to generate pumping power; a fluid end having a fluid end casing including: an inlet bore having a valve seat located therein, the valve seat having a first inner surface and a flow area defined by a plane extending across the valve seat; a plunger bore having a second inner surface defining a plunger bore inner diameter; a first hole extending through the fluid end casing from a first outer surface of the fluid end casing to a second outer surface of the fluid end casing opposite the first outer surface, the first hole having a first longitudinal axis; and a second hole extending through the fluid end casing from the first outer surface to the second outer surface, the second hole having a second longitudinal axis, the second hole extending parallel to the first hole, the second longitudinal axis is spaced apart from the first longitudinal axis by a first distance; and a plurality of couplers mounting the fluid end to the power end, the plurality of couplers including a first coupler extending through the first hole and a second coupler extending through the second hole, each of the first coupler and the second coupler is connected at one end to the power end and has a fastener secured to its other end to retain the fluid end casing, wherein the plunger bore inner diameter divided by the flow area is a first ratio, the first ratio multiplied by the first distance is a second ratio, and the second ratio is less than 22.
2. The reciprocating pump of claim 1, wherein the first inner surface defines a valve seat inner diameter, and the valve seat inner diameter is in a range from 2 inches to 6 inches.
3. The reciprocating pump of claim 2, wherein the first distance is substantially 6.25 inches.
4. The reciprocating pump of claim 3, wherein the plunger bore inner diameter is in a range from 2 inches to 8 inches, and the second ratio is less than 16.
5. The reciprocating pump of claim 3, wherein the plunger bore inner diameter is in a range from 2 inches to 8 inches, and the second ratio is in a range from 0.44 to 15.92.
6. The reciprocating pump of claim 3, wherein the plunger bore inner diameter is in a range from 4 inches to 5 inches, and the second ratio is in a range from 0.88 to 9.95.
7. The reciprocating pump of claim 2, wherein the first distance is substantially 8.25 inches.
8. The reciprocating pump of claim 7, wherein the plunger bore inner diameter is in a range from 2 inches to 8 inches, and the second ratio is less than 22.
9. The reciprocating pump of claim 7, wherein the plunger bore inner diameter is in a range from 2 inches to 8 inches, and the second ratio is in a range from 0.58 to 21.01.
10. The reciprocating pump of claim 7, wherein the plunger bore inner diameter is in a range from 4 inches to 5 inches, and the second ratio is in a range from 1.17 to 13.13.
11. A reciprocating pump, comprising: a power end configured to generate pumping power; a fluid end having a fluid end casing including: an inlet bore having a valve seat located therein, the valve seat defining a valve seat inner diameter, the valve seat inner diameter is in a range from 2 inches to 6 inches, and the valve seat defines a cross-sectional flow area extending across the valve seat; a plunger bore defining a plunger bore inner diameter, the plunger bore inner diameter is in a range from 2 inches to 8 inches; a first hole extending through the fluid end casing from a first outer surface of the fluid end casing to a second outer surface of the fluid end casing opposite the first outer surface, and the first hole having a first longitudinal axis; and a second hole extending through the fluid end casing from the first outer surface to the second outer surface, and the second hole having a second longitudinal axis, the second longitudinal axis is parallel to and spaced apart from the first longitudinal axis by a first distance, the first distance is substantially 6.25 inches; a first tie rod extending through the first hole, the first tie rod is connected to the power end and to the fluid end; and a second tie rod extending through the second hole, the second tie rod is connected to the power end and to the fluid end, wherein the plunger bore inner diameter divided by the cross-sectional flow area is a first ratio, the first ratio multiplied by the first distance is a second ratio, and the second ratio is less than 16.
12. The reciprocating pump of claim 11, wherein the second ratio is in a range from 0.44 to 15.92.
13. The reciprocating pump of claim 11, wherein the plunger bore inner diameter is in a range from 4 inches to 5 inches, and the second ratio is in a range from 0.88 to 9.95.
14. The reciprocating pump of claim 11, wherein the plunger bore inner diameter is in a range from 2 inches to 4 inches, and the second ratio is in a range from 0.44 to 7.96.
15. The reciprocating pump of claim 11, wherein the plunger bore inner diameter is in a range from 5 inches to 8 inches, and the second ratio is in a range from 1.11 to 15.92.
16. A reciprocating pump, comprising: a power end configured to generate pumping power; a fluid end having a fluid end casing including: an inlet bore having a valve seat located therein, the valve seat defining a valve seat inner diameter, the valve seat inner diameter is in a range from 2 inches to 6 inches, and the valve seat defines a cross-sectional flow area extending across the valve seat; a plunger bore defining a plunger bore inner diameter, the plunger bore inner diameter is in a range from 2 inches to 8 inches; a first hole extending through the fluid end casing from a first outer surface of the fluid end casing to a second outer surface of the fluid end casing opposite the first outer surface, and the first hole having a first longitudinal axis; and a second hole extending through the fluid end casing from the first outer surface to the second outer surface, and the second hole having a second longitudinal axis, the second longitudinal axis is parallel to and spaced apart from the first longitudinal axis by a first distance, the first distance is substantially 8.25 inches; a first tie rod extending through the first hole, the first tie rod is connected to the power end and to the fluid end; and a second tie rod extending through the second hole, the second tie rod is connected to the power end and to the fluid end, wherein the plunger bore inner diameter divided by the cross-sectional flow area is a first ratio, the first ratio multiplied by the first distance is a second ratio, and the second ratio is less than 22.
17. The reciprocating pump of claim 16, wherein the second ratio is in a range from 0.58 to 21.01.
18. The reciprocating pump of claim 16, wherein the plunger bore inner diameter is in a range from 4 inches to 5 inches, and the second ratio is in a range from 1.17 to 13.13.
19. The reciprocating pump of claim 16, wherein the plunger bore inner diameter is in a range from 2 inches to 4 inches, and the second ratio is in a range from 0.58 to 10.50.
20. The reciprocating pump of claim 16, wherein the plunger bore inner diameter is in a range from 5 inches to 8 inches, and the second ratio is in a range from 1.46 to 21.01.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0035] To complete the description and in order to provide for a better understanding of the present application, a set of drawings is provided. The drawings form an integral part of the description and illustrate embodiments of the present application, which should not be interpreted as restricting the scope of the invention, but just as examples. The drawings comprise the following figures:
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[0054] Like reference numerals have been used to identify like elements throughout this disclosure.
DETAILED DESCRIPTION
[0055] The following description is not to be taken in a limiting sense but is given solely for the purpose of describing the broad principles of the invention. Embodiments of the invention will be described by way of example, with reference to the above-mentioned drawings showing elements and results according to the present invention.
[0056] Generally, the present application is directed to a relationship between the tie rods and a valve bore in a fluid end. In an aspect of this application, the profile of the valve seat bores are changed to allow the tie rods to pass through the fluid end without intersecting or intercepting the internal bore geometry, while still being compatible with industry standard internal components. The solution disclosed herein eliminates the need for an adapter plate of any kind, while still utilizing existing tie rod locations in a fluid end. As a result, raw material and labor costs associated with mounting an adapter plate on the power end or on the fluid end are eliminated. In addition, the overall size of the forging and associated machining to form a fluid end without the adapter plate is reduced by approximately of the size.
[0057] The present application relates to fluid end casing bores that support valve seats. Couplers, such as tie rods, are configured for linking the fluid end to a power end of a reciprocating pump. Each coupler is configured to separately pass through the entirety of the fluid end assembly. The couplers are bolted or secured to the front of the fluid end assembly.
[0058] In one implementation, a suction valve bore and a discharge valve bore are located within the fluid end assembly, and are configured not to intersect with the fastener bores. A diameter of the valve assembly is greater than a distance between the fastener bores. A diameter of the valve bore section, which is coupled to the plunger bore, is less than the distance between the fastener bores.
[0059] Generally, the present application is also directed to a relationship in a fluid end casing between a spacing between a pair of tie rods, a diameter of a plunger bore, and a flow area of a valve seat. In an aspect of this application, the flow area of a valve seat is calculated based on an inner diameter of the valve seat as defined by an inner surface of the valve seat. The spacing between a pair of tie rods is a standard distance throughout the industry.
[0060] In different implementations, the diameter of a plunger bore can vary in different fluid end casings. The present application related to a range of plunger bore diameters from 4 inches to 5 inches. For particular plunger bore diameters, the inner diameter of the valve seat can vary as well. In different embodiments, the plunger bore diameter can be one of 4 inches, 4.5 inches, 4.75 inches, or 5 inches. For each of those plunger bore diameters, the inner diameter of the valve seat is in the range from 2 inches to 6 inches, and can be any of each 0.25 inches therebetween.
[0061] Referring to
[0062] In any case, often, the reciprocating pump 100 may be quite large and may, for example, be supported by a semi-tractor truck (semi) that can move the reciprocating pump 100 to and from a well. Specifically, in some instances, a semi may move the reciprocating pump 100 off a well when the reciprocating pump 100 requires maintenance. However, a reciprocating pump 100 is typically moved off a well only when a replacement pump (and an associated semi) is available to move into place at the well, which may be rare. Thus, often, the reciprocating pump is taken offline at a well and maintenance is performed while the reciprocating pump 100 remains on the well. If not for this maintenance, the reciprocating pump 100 could operate continuously to extract natural oil and gas (or conduct any other operation). Consequently, any improvements that extend the lifespan of components of the reciprocating pump 100, extend the time between maintenance operations (i.e., between downtime), and/or minimize the time needed to complete maintenance operations (minimizing downtime) are highly desirable.
[0063] Still referring to
[0064] In various embodiments, the fluid end 104 may be shaped differently and/or have different features, but may still generally perform the same functions, define similar structures, and house similar components. For example, while fluid end 104 includes a first bore 130 that intersects an inlet bore 132 and an outlet bore 136 at skewed angles, other fluid ends may include any number of bores arranged along any desired angle or angles, for example, to intersect bore 130 (and/or an access bore) substantially orthogonally and/or so that two or more bores are substantially coaxial. Generally, bores 132 and 136, as well as any other bores (i.e., segments, conduits, etc.), may intersect to form a pumping chamber 164, may be cylindrical or non-cylindrical, and may define openings at an external surface 126 of the casing 120. Additionally, bores 132 and 136, as well as any other bores (i.e., segments, conduits, etc.), may receive various components or structures, such as sealing assemblies or components thereof.
[0065] In the depicted embodiment, inlet bore 132 defines a fluid path through the fluid end 104 that connects the pumping chamber to a piping system 150 delivering fluid to the fluid end 104. Meanwhile, outlet bore 136 allows compressed fluid to exit the fluid end 104. Thus, in operation, bores 132 and 136 may include valve components 134 and 138, respectively, (e.g., one-way valves) that allow bores 132 and 136 to selectively open and deliver a fluid through the fluid end 104. Typically, valve components 134 in the inlet bore 132 may be secured therein by a piping system 106. Meanwhile, valve components 138 in outlet bore 136 may be secured therein by a closure assembly 140 that, in the prior art example illustrated in
[0066] In operation, fluid may enter fluid end 104 via outer openings of inlet bores 132 and exit fluid end 104 via outer openings of outlet bores 136. More specifically, fluid may enter inlet bores 132 via pipes of piping system 106, flow through pumping chamber 164 (due to reciprocation of a reciprocating elements 160), and then flow through outlet bores 136 into a channel. However, piping system 106 and channel are merely example conduits and, in various embodiments, fluid end 104 may receive and discharge fluid via any number of pipes and/or conduits, along pathways of any desirable size or shape.
[0067] Meanwhile, each of bores 130 defines, at least in part, a cylinder for reciprocating elements 160, and/or connects the casing 120 to a cylinder for reciprocating elements 160. More specifically, in the illustrated embodiment, a casing segment 122 houses a packing assembly 124 configured to seal against a reciprocating element 160 disposed interiorly of the packing assembly 124. Reciprocation of a reciprocating element 160 in or adjacent to bore 130, which may be referred to as a reciprocation bore (or, for fracking applications, a plunger bore), draws fluid into the pumping chamber 164 via inlet bore 132 and pumps the fluid out of the pumping chamber 164 via outlet bore 136. However, over time, the packing assembly 124 will wear and/or fail, and thus, must be accessed for maintenance and/or replacement. Other components, such as valve components 134 and/or 138, or the fluid end casing 120 itself may also wear and/or fail and require repair or replacement over time. To help provide access to these parts and/or the pumping chamber, some fluid ends have access bores that are often aligned with (and sometimes coaxial with) the reciprocating bore 130. Other fluid ends needs not include access bore and, thus, such an access bore is not illustrated in
[0068] Regardless of whether the fluid end includes an access bore, the packing assembly 124 typically needs to be replaced from an outer opening of bore 130 (i.e., a side of bore 130 aligned with the external surface 126 of the casing 120). At the same time, to operate properly, the fluid end 104 must be securely and stably coupled to the power end 102. Thus, often, with prior art reciprocating pumps like reciprocating pump 100, the fluid end 104 is directly coupled to the power end 102 with relatively short couplers 190 and at least a portion of the reciprocating pump 100 must be disassembled to access bore 130, e.g., to replace packing assembly 124.
[0069] Now turning to
[0070] Moreover, since couplers 190 connect directly to the nose plate 172, the power end 102 may only be able to operate with fluid ends specifically designed to receive couplers 190 in the arrangement dictated by nose plate 172. In the prior art power end 102, this nose plate is welded or otherwise irremovably coupled to a crosshead frame 182 of a crosshead assembly 170 of the power end 102. That is, the nose plate 172 is integrated into or formed with the power end 102. Thus, the power end 102 may only be operable with fluid ends that include coupling features that match the orientation of coupling features included on nose plate 172. At the same time, the position of the nose plate 172 is not adjustable or manipulable because the irremovable connection/integration of the nose plate 172 into the power end 102 allows the nose plate 172 to withstand extremely high stresses imparted thereto during generation of pumping power by the power end 102. That said, in other prior art power ends, couplers 190 might connect directly into another part of portion of a power end that is able to withstand these high stresses (e.g., into a frame portion), but these coupling points are typically fixed on and/or irremovable from the power end 102. Either way, a power end 102 that directly receives couplers connecting the power end 102 to a fluid end 104 may have limited compatibility across different fluid ends.
[0071] More specifically, with the prior art power end 102, the locations at which a fluid end 104 may be coupled to the power end 102 are fixed and/or preset by a set of receptacles 108. In this particular prior art power end 102, the nose plate 172 defines the locations of receptacles 108 for the power end 102 (which is positioned at and/or generally defines a front of the power end 102). However, in other embodiments, receptacles 108 could be included in any part or portion of a power end. That is, the power end 102 may include a frame 110 that extends from a front 112 to a back 114 and the receptacles 108 may generally be included in the front 112 of frame 110. Receptacles 108 can be seen in
[0072] Now turning to
[0073] The fluid end 320 includes a fluid end casing 322 that is coupled to the power end 310. Several couplers, only couplers 430 and 440 are labeled in
[0074] Referring to
[0075] Turning to
[0076] Referring now to
[0077] Bore 340 is fluidically coupled to a discharge manifold 348. A valve body or valve component 350 is provided with a spring 352 that biased the valve component 350 to its closed position. A discharge bore cover 354 is held in place by a threaded retainer 356.
[0078] Bore 360 is fluidically coupled to a suction manifold port 368. Located in bore 360 is a valve component 370 that is biased into its closed position by a spring 372. In its closed position, valve component 370 engages a valve seat 374 in bore 360.
[0079] In the cross-sectional view shown in
[0080] Turning to
[0081] In
[0082] Fluid end casing 322 includes a first pair of holes or through holes 400 and 402 that extend through the fluid end casing 322. The holes 400 and 402 are parallel to each other and are located on opposite sides of bore 340. The fluid end casing 322 includes a second pair of holes or through holes 410 and 412 that extend through the fluid end casing 322. The holes 410 and 412 are parallel to each other and are located on opposite sides of bore 360. As described in greater detail below, the holes 400, 402, 410, and 412 are sized to receive couplers, such as tie rods, therethrough that couple the fluid end casing 322 to the power end 310.
[0083] The other bore sets formed in the fluid end casing 322 have similar pairs of through holes relative to the bores. As illustrated in
[0084] While in this embodiment, the relative distances or spacing between a pair of holes on opposite sides of a bore are the same for the different pairs of through holes, in different embodiments, the relative distances or spacing between pairs of holes can vary. In addition, in different embodiments, the sizes of the through holes located on opposite sides of a bore can vary. Also, some of the through holes in a fluid end casing can have different sizes (diameters) as compared to some of the other through holes in the fluid end casing.
[0085] Turning to
[0086] Also shown in
[0087] In this embodiment, fluid end casing 322 receives various sets of stay rods relative to its other bores. Stay rods 530 and 532 are located on opposite sides of bore 540, and stay rods 534 and 536 are located on opposite sides of bore 560. Similarly, stay rods 630 and 632 are located on opposite sides of bore 640, and stay rods 634 and 636 are located on opposite sides of bore 660. Also, stay rods 730 and 732 are located on opposite sides of bore 740, and stay rods 734 and 736 are located on opposite sides of bore 760. Finally, stay rods 830 and 832 are located on opposite sides of bore 840, and stay rods 834 and 836 are located on opposite sides of bore 860.
[0088] In
[0089] In
[0090] Proximate to bore 340 is a pair 420 of holes or through holes 400 and 402. Hole 400 includes a longitudinal axis L1 and a radius R1, and hole 402 includes a longitudinal axis L2 and a radius R2. The holes 400 and 402 are spaced apart from each other by a distance D1. Distance D1 is located in a plane that is the same plane as second inner diameter ID2. The distance D1 between the holes 400 and 402 can also be determined a different way. Distance D1 is calculated by determining the distance D2 between the longitudinal axes L1 and L2 and subtracting the radii R1 and R2 from that distance. By providing portion 346 with an inner diameter ID2 that is less than the inner diameter ID1 of bore portion 344, the through holes 400 and 402 can be located at a distance that matches the spacing of tie rods extending from the power end.
[0091] Similarly, bore 360 is a variable diameter bore with several different sections or portions. Bore 360 has a first portion 364 that has a first inner diameter ID3 and a second portion 366 that has a second inner diameter ID4. In this embodiment, the second inner diameter ID4 is smaller than the first inner diameter ID3. Proximate to bore 360 is a pair 422 of holes or through holes 410 and 412. Hole 410 includes a longitudinal axis L3 and a radius R3, and hole 412 includes a longitudinal axis L4 and a radius R4. The holes 410 and 412 are spaced apart from each other by a distance D3. The distance D3 between the holes 410 and 412 can also be calculated by determining the distance D4 between the longitudinal axes L3 and L4 and subtracting the radii R3 and R4 from that distance. By providing portion 366 with an inner diameter ID4 that is less than the inner diameter ID3 of bore portion 364, the through holes 410 and 412 can be located at a distance that matches the spacing of tie rods extending from the power end.
[0092] In the illustrated embodiment, the distances D1 and D3 are the same so that the first pair 420 of holes are spaced apart the same distance that the second pair 422 of holes are spaced apart. Also, in this embodiment, each of the holes 400, 402, 410, and 412 are similarly sized, making the radii R1, R2, R3, and R4 the same. The distance between longitudinal axes L1 and L2 is the same as the distance between longitudinal axes L3 and L4. In alternative embodiments, the sizes of the holes 400, 402, 410, and 412 can vary, depending on the size of the couplers used. In addition, the spacing between the pairs 420 and 422 of the holes can vary.
[0093] The plunger bore 390 has an inner diameter ID5, as shown in
[0094] Turning to
[0095] The fluid end casing 1322 includes a discharge bore 1340, which is a variable diameter bore. Bore 1340 has a first bore portion 1342 with an inner diameter ID6 and a second bore portion 1344 with an inner diameter ID7. A discharge cover 1346 and a threaded retainer 1348 are provided in bore 1340. Bore 1340 is in fluid communication with discharge manifold 1350. A valve body or component 1352 is provided in bore 1340 as well. The fluid end casing 1322 also includes a cross bore 1380 and a plunger bore 1390.
[0096] In
[0097] Turning to
[0098] Hole 1400 has a longitudinal axis L5 and a radius R5, and holes 1402 has a longitudinal axis L6 and a radius R6. Hole 1402 is spaced apart from hole 1400 by a distance D5, which is less than inner diameter ID6 and greater than inner diameter ID7. The distance between holes 1400 and 1402 can be calculated by measuring the distance D6 between longitudinal axes L5 and L6 and subtracting the radii R5 and R6.
[0099] As stated above, the present application is also directed to a relationship in a fluid end casing of several different dimensions. The relationship of the dimensions is used to identify acceptable fluid end designs that can be used with tie rods that have an industry standard spacing between them. An acceptable fluid end design is one that can be mounted onto standard spaced tie rods, and also enable a sufficient fluid flow through the bores and valve components in the fluid end. The certain dimension relationship has been identified that can be used to characterize acceptable fluid end designs is described in detail below.
[0100] The dimension relationship of a spacing between a pair of tie rods, a diameter of a plunger bore, and a flow area of a valve seat has been identified. In an aspect of this application, the flow area of a valve seat is calculated based on an inner diameter of the valve seat, which is defined by an inner surface of the valve seat. The spacing between a pair of tie rods is a standard distance throughout the industry. The diameter of a plunger bore can be selected based on the desired functioning of the pump. Certain plunger bore diameters are identified in the examples below.
[0101] Referring to
[0102] Bore 2340 includes a bore portion 2346 that has an inner diameter ID11, and a different bore portion 2348 that has an inner diameter ID12. Located in bore portion 2348 is a valve seat 2350. The valve seat 2350 has an inner surface 2352 defining an inner diameter ID10 of the valve seat 2350. The inner diameter ID10 is used to calculate a flow area FA which extends across a bore of the valve seat 2350. The flow area FA can be referred to alternatively as a throat of the valve seat. As discussed below, the inner diameter ID10 of the valve seat 2350 is used in the calculation of the flow area FA that is used in the dimension relationship calculation.
[0103] The fluid end casing 2322 includes a plunger bore 2390. The plunger bore 2390 has an inner surface 2392 that defines an inner diameter ID12. The inner diameter ID12 of the plunger bore 2390 is used as an input in the dimension relationship calculation for the fluid end casing, as described below.
[0104] In one embodiment, the fluid end casing 2322 includes a suction bore 2360 that has a longitudinal axis 2362 and two different sized bore portions 2364 and 2366. Located on opposite sides of the suction bore 2360 are holes or thru holes 2410 and 2412 through which couplers, such as tie rods, are inserted. The thru holes 2410 and 2412 can be referred to alternatively as thru rod holes.
[0105] The fluid end casing 2322 also includes holes or thru rod holes 2400 and 2402. The pair 2420 of thru rod holes 2400 and 2402 are located on opposite sides of bore 2340, and they also extend parallel to each other. Thru hole 2400 has a radius R5 and a longitudinal axis L5 that extends perpendicularly to the view illustrated in
[0106] In this embodiment, the longitudinal axes L5 and L6 are spaced apart by the distance D10, which is referred to as a tie rod spacing. In the pump industry, there are two standard tie rod spacings. In one implementation, the tie rod spacing distance D10 is 6.25 inches. In another implementation, the tie rod spacing distance D10 is 8.25 inches. When the tie rods are cylindrical, the thru holes 2400 and 2402 are cylindrical as well. As a result, the distance D10 can also be determined by adding the distance D11 between the thru rod holes 2400 and 2402 to the sum of radii R5 and R6.
[0107] Referring to
[0108] The valve seat 2350 has a longitudinal axis 2351 and opposite ends 2354A and 2354B, as shown in
[0109] In different implementations, the diameter of a plunger bore can vary in different fluid end casings. The present application related to a range of plunger bore diameters from 2 inches to 8 inches. For each of the plunger bore diameters, the inner diameter of the valve seat can vary as well. In different embodiments, the plunger bore diameter can be any of 2 inches, 4 inches, 4.5 inches, 4.75 inches, 5 inches, or 8 inches. For each of those plunger bore diameters, the inner diameter of the valve seat is in the range from 2 inches to 6 inches, and can be any distance therebetween in 0.25 inch increments.
[0110] The relationship in a fluid end casing between the inner diameter of a plunger bore and the inner diameter of a valve seat is calculated and used to reflect different fluid end casing embodiments that are designed to engage industry standard spaced tie rods to mount the fluid end to a power end while enabling a satisfactory fluid flow through the fluid end. As mentioned above, the couplers, such as tie rods or stay rods, are spaced apart in the pump industry by one of two different distances. In one implementation, the tie rod spacing distance is about 6.25 inches. In another implementation, the tie rod spacing distance is about 8.25 inches. The term about as used herein in relation to a described amount indicates that the amount, such as a distance, can deviate or vary slightly beyond the described value by +/0.25 inches.
[0111] Several examples are provided below to show the relationship between the inner diameter of a plunger bore and the inner diameter of a valve seat in a fluid end. In the examples, the plunger bore diameter is changed and a range of acceptable valve seat inner diameters are used in the calculation of ratios that represent acceptable dimensional configurations for a fluid end casing.
[0112] In one aspect, there are three steps to the calculations set forth below. Prior to the first step, three dimensions are determined and used as inputs. One input dimension is the spacing between tie rods, which is determined by measuring the distance between the longitudinal axes of the thru holes for a pair of tie rods. As mentioned above, the industry standard distance between the longitudinal axes of a pair of tie rods can be 6.25 inches in one implementation, and can be 8.25 inches in another implementation.
[0113] Another input dimension is the inner diameter of the plunger bore in inches. In different embodiments, the plunger bore inner diameter is in the range from about 2.0 inches to about 8.0 inches. The various embodiments and examples set forth below include plunger bore inner diameters of 2.0 inches, 4.0 inches, 4.5 inches, 4.75 inches, 5.0 inches, and 8.0 inches for each of the different tie rod spacing distances of 6.25 inches and 8.25 inches. It is to be understood that the plunger bore inner diameter can be any other intermediate dimension in the range from about 2.0 inches to about 8.0 inches, in addition to those described in the examples below.
[0114] The third input dimension is inner diameter of the valve seat in inches. In different embodiments, the valve seat inner diameter is in the range from about 2.0 inches to about 6.0 inches. The various embodiments set forth below include changing the valve seat inner diameter at 0.25 inch increments. However, it is to be understood that the valve seat inner diameter is not required to be a standard dimension, and that in various embodiments, the valve seat inner diameter can vary. For example, the valve seat inner diameters in different embodiments can be irregular dimensions, such as 3.03 inches. Accordingly, the examples below and the valve seat inner diameter range described herein cover the range from about 2.0 inches to about 6.0 inches and can be any dimension in that range. The 0.25 inch increments in the examples below are exemplary dimensions in that range.
[0115] Once a plunger bore inner diameter is selected, the flow area of the valve seat is calculated for each of the valve seat inner diameters in the range. A first ratio, referred to as ratio A, is calculated by dividing the plunger bore inner diameter (in inches) by the flow area (in inches.sup.2) that is calculated using the valve seat inner diameter. Ratio A is then multiplied by the spacing between a pair of tie rods, which is 6.25 inches in Examples 1 through 6 and is 8.25 inches in Examples 7 through 12, resulting in another ratio, referred to as ratio B.
EXAMPLES
Example 1Plunger Bore Inner Diameter=2.0 Inches
[0116] In this example, the plunger bore inner diameter is about 2.0 inches. The first column entitled Flow Diameter of Valve Seat represents the inner diameter of the valve seat in inches. That inner diameter is used to calculate the flow area of the valve seat, which is included in the second column entitled Flow Area of Valve Seat. Next, the values in the third column entitled Ratio A=(Plunger Bore Diameter)/(Flow Area) are calculated by dividing the plunger bore diameter, which in this Example 1 is about 2.0 inches, by the calculated flow area from the second column. The resulting number is in units of 1/inches. The value in the third column is then multiplied by the tie rod spacing distance of 6.25 inches to calculate the value in the fourth column, which is entitled Ratio B=(Ratio A)*(Tie Rod Spacing).
TABLE-US-00001 Flow Diameter of Flow Area of Ratio A = (Plunger Bore Ratio B = (Ratio A) * Valve Seat (in.) Valve Seat (in.sup.2) Diameter)/(Flow Area) (Tie Rod Spacing) 2 3.14 0.64 3.98 2.25 3.98 0.50 3.14 2.5 4.91 0.41 2.55 2.75 5.94 0.34 2.10 3 7.07 0.28 1.77 3.25 8.30 0.24 1.51 3.5 9.62 0.21 1.30 3.75 11.04 0.18 1.13 4 12.57 0.16 0.99 4.25 14.19 0.14 0.88 4.5 15.90 0.13 0.79 4.75 17.72 0.11 0.71 5 19.63 0.10 0.64 5.25 21.65 0.09 0.58 5.5 23.76 0.08 0.53 5.75 25.97 0.08 0.48 6 28.27 0.07 0.44
[0117] As shown in the data above, the valve seat flow diameter is in the range from about 2.0 inches to about 6.0 inches. For each of the different valve seat flow diameters and a plunger bore inner diameter of about 2.0 inches, the resulting ratio is less than 4.0, and more particularly, the resulting ratio is in the range from 3.98 (at a valve seat flow diameter of 2.0 inches) to 0.44 (at a valve seat flow diameter of 6.0 inches). The range of valve seat flow diameters from about 2.0 inches to about 6.0 inches is an acceptable range of valve seats that can be used with a fluid end casing having a plunger bore of about 2.0 inches.
Example 2Plunger Bore Inner Diameter=4.0 Inches
[0118] In this example, the plunger bore inner diameter is about 4.0 inches. The range of valve seat flow diameters from about 2.0 inches to about 6.0 inches below is an acceptable range of valve seats that can be used with a fluid end casing having a plunger bore of about 4.0 inches.
TABLE-US-00002 Flow Diameter of Flow Area of Ratio A = (Plunger Bore Ratio B = (Ratio A) * Valve Seat (in.) Valve Seat (in.sup.2) Diameter)/(Flow Area) (Tie Rod Spacing) 2 3.14 1.27 7.96 2.25 3.98 1.01 6.29 2.5 4.91 0.81 5.09 2.75 5.94 0.67 4.21 3 7.07 0.57 3.54 3.25 8.30 0.48 3.01 3.5 9.62 0.42 2.60 3.75 11.04 0.36 2.26 4 12.57 0.32 1.99 4.25 14.19 0.28 1.76 4.5 15.90 0.25 1.57 4.75 17.72 0.23 1.41 5 19.63 0.20 1.27 5.25 21.65 0.18 1.15 5.5 23.76 0.17 1.05 5.75 25.97 0.15 0.96 6 28.27 0.14 0.88
[0119] As shown in the data above, the valve seat flow diameter is in the range from about 2.0 inches to about 6.0 inches. For each of the different valve seat flow diameters and a plunger bore inner diameter of about 4.0 inches, the resulting ratio is less than 8.0, and more particularly, the resulting ratio is in the range from 7.96 (at a valve seat flow diameter of 2.0 inches) to 0.88 (at a valve seat flow diameter of 6.0 inches).
Example 3Plunger Bore Inner Diameter=4.5 Inches
[0120] In this example, the plunger bore inner diameter is about 4.5 inches. The range of valve seat flow diameters from about 2.0 inches to about 6.0 inches below is an acceptable range of valve seats that can be used with a fluid end casing having a plunger bore of about 4.5 inches.
TABLE-US-00003 Flow Diameter of Flow Area of Ratio A = (Plunger Bore Ratio B = (Ratio A) * Valve Seat (in.) Valve Seat (in.sup.2) Diameter)/(Flow Area) (Tie Rod Spacing) 2 3.14 1.43 8.95 2.25 3.98 1.13 7.07 2.5 4.91 0.92 5.73 2.75 5.94 0.76 4.74 3 7.07 0.64 3.98 3.25 8.30 0.54 3.39 3.5 9.62 0.47 2.92 3.75 11.04 0.41 2.55 4 12.57 0.36 2.24 4.25 14.19 0.32 1.98 4.5 15.90 0.28 1.77 4.75 17.72 0.25 1.59 5 19.63 0.23 1.43 5.25 21.65 0.21 1.30 5.5 23.76 0.19 1.18 5.75 25.97 0.17 1.08 6 28.27 0.16 0.99
[0121] As shown in the data above, for each of the different valve seat flow diameters and a plunger bore inner diameter of 4.50 inches, the resulting ratio is less than 9.0, and more particularly, the resulting ratio is in the range from 8.95 (at a valve seat flow diameter of 2.0 inches) to 0.99 (at a valve seat flow diameter of 6.0 inches).
Example 4Plunger Bore Inner Diameter=4.75 Inches
[0122] In this example, the plunger bore inner diameter is about 4.75 inches. The range of valve seat flow diameters from about 2.0 inches to about 6.0 inches below is an acceptable range of valve seats that can be used with a fluid end casing having a plunger bore of about 4.75 inches.
TABLE-US-00004 Flow Diameter of Flow Area of Ratio A = (Plunger Bore Ratio B = (Ratio A) * Valve Seat (in.) Valve Seat (in.sup.2) Diameter)/(Flow Area) (Tie Rod Spacing) 2 3.14 1.51 9.45 2.25 3.98 1.19 7.47 2.5 4.91 0.97 6.05 2.75 5.94 0.80 5.00 3 7.07 0.67 4.20 3.25 8.30 0.57 3.58 3.5 9.62 0.49 3.09 3.75 11.04 0.43 2.69 4 12.57 0.38 2.36 4.25 14.19 0.33 2.09 4.5 15.90 0.30 1.87 4.75 17.72 0.27 1.68 5 19.63 0.24 1.51 5.25 21.65 0.22 1.37 5.5 23.76 0.20 1.25 5.75 25.97 0.18 1.14 6 28.27 0.17 1.05
[0123] As shown in the data above, for each of the different valve seat flow diameters and a plunger bore inner diameter of about 4.75 inches, the resulting ratio is less than 9.5, and more particularly, the resulting ratio is in the range from 9.45 (at a valve seat flow diameter of 2.0 inches) to 1.05 (at a valve seat flow diameter of 6.0 inches).
Example 5Plunger Bore Inner Diameter=5.0 Inches
[0124] In this example, the plunger bore inner diameter is about 5.0 inches. The range of valve seat flow diameters from about 2.0 inches to about 6.0 inches below is an acceptable range of valve seats that can be used with a fluid end casing having a plunger bore of about 5.0 inches.
TABLE-US-00005 Flow Diameter of Flow Area of Ratio A = (Plunger Bore Ratio B = (Ratio A) * Valve Seat (in.) Valve Seat (in.sup.2) Diameter)/(Flow Area) (Tie Rod Spacing) 2 3.14 1.59 9.95 2.25 3.98 1.26 7.86 2.5 4.91 1.02 6.37 2.75 5.94 0.84 5.26 3 7.07 0.71 4.42 3.25 8.30 0.60 3.77 3.5 9.62 0.52 3.25 3.75 11.04 0.45 2.83 4 12.57 0.40 2.49 4.25 14.19 0.35 2.20 4.5 15.90 0.31 1.96 4.75 17.72 0.28 1.76 5 19.63 0.25 1.59 5.25 21.65 0.23 1.44 5.5 23.76 0.21 1.32 5.75 25.97 0.19 1.20 6 28.27 0.18 1.11
[0125] As shown in the data above, for each of the different valve seat flow diameters and a plunger bore inner diameter of about 5.0 inches, the resulting ratio is less than 10, and more particularly, the resulting ratio is in the range from 9.95 (at a valve seat flow diameter of 2.0 inches) to 1.11 (at a valve seat flow diameter of/6.0 inches).
Example 6. Plunger Bore Inner Diameter=8.0 Inches
[0126] In this example, the plunger bore inner diameter is about 8.0 inches. The range of valve seat flow diameters from about 2.0 inches to about 6.0 inches below is an acceptable range of valve seats that can be used with a fluid end casing having a plunger bore of about 8.0 inches.
TABLE-US-00006 Flow Diameter of Flow Area of Ratio A = (Plunger Bore Ratio B = (Ratio A) * Valve Seat (in.) Valve Seat (in.sup.2) Diameter)/(Flow Area) (Tie Rod Spacing) 2 3.14 2.55 15.92 2.25 3.98 2.01 12.58 2.5 4.91 1.63 10.19 2.75 5.94 1.35 8.42 3 7.07 1.13 7.07 3.25 8.30 0.96 6.03 3.5 9.62 0.83 5.20 3.75 11.04 0.72 4.53 4 12.57 0.64 3.98 4.25 14.19 0.56 3.52 4.5 15.90 0.50 3.14 4.75 17.72 0.45 2.82 5 19.63 0.41 2.55 5.25 21.65 0.37 2.31 5.5 23.76 0.34 2.10 5.75 25.97 0.31 1.93 6 28.27 0.28 1.77
[0127] As shown in the data above, for each of the different valve seat flow diameters and a plunger bore inner diameter of about 8.0 inches, the resulting ratio is less than 16, and more particularly, the resulting ratio is in the range from 15.92 (at a valve seat flow diameter of 2.0 inches) to 1.77 (at a valve seat flow diameter of 6.0 inches).
[0128] In view of the ranges of valve seat inner diameter being the same in the six examples above, the variable in Examples 1-6 is the plunger bore inner diameter. The calculated ratio, which is referred to as Ratio B, is in the range from 0.44 (for a plunger bore diameter of 2.0 inches and a valve seat inner diameter of 6.0 inches) to 15.92 (for a plunger bore diameter of 8.0 inches and a valve seat inner diameter of 2.0 inches). The embodiments set forth in the above examples are sized to permit a fluid end casing having those dimensions to mounted on and coupled to standard tie rods that have longitudinal axes that are spaced 6.25 inches apart. As noted above in the introduction to this Example section, the tie rod spacing distance for Examples 7 through 12 is 8.25 inches.
Example 7Plunger Bore Inner Diameter=2.0 Inches
[0129] In this example, the plunger bore inner diameter is about 2.0 inches, and the range of valve seat flow diameters is from about 2.0 inches to about 6.0 inches.
TABLE-US-00007 Flow Diameter of Flow Area of Ratio A = (Plunger Bore Ratio B = (Ratio A) * Valve Seat (in.) Valve Seat (in.sup.2) Diameter)/(Flow Area) (Tie Rod Spacing) 2 3.14 0.64 5.25 2.25 3.98 0.50 4.15 2.5 4.91 0.41 3.36 2.75 5.94 0.34 2.78 3 7.07 0.28 2.33 3.25 8.30 0.24 1.99 3.5 9.62 0.21 1.71 3.75 11.04 0.18 1.49 4 12.57 0.16 1.31 4.25 14.19 0.14 1.16 4.5 15.90 0.13 1.04 4.75 17.72 0.11 0.93 5 19.63 0.10 0.84 5.25 21.65 0.09 0.76 5.5 23.76 0.08 0.69 5.75 25.97 0.08 0.64 6 28.27 0.07 0.58
[0130] As shown in the data above, for each of the different valve seat flow diameters and a plunger bore inner diameter of about 2.0 inches, the resulting ratio is less than 5.3, and more particularly, the resulting ratio is in the range from 5.25 (at a valve seat flow diameter of 2.0 inches) to 0.58 (at a valve seat flow diameter of 6.0 inches.
Example 8Plunger Bore Inner Diameter=4.0 Inches
[0131] In this example, the plunger bore inner diameter is about 4.0 inches.
TABLE-US-00008 Flow Diameter of Flow Area of Ratio A = (Plunger Bore Ratio B = (Ratio A) * Valve Seat (in.) Valve Seat (in.sup.2) Diameter)/(Flow Area) (Tie Rod Spacing) 2 3.14 1.27 10.50 2.25 3.98 1.01 8.30 2.5 4.91 0.81 6.72 2.75 5.94 0.67 5.56 3 7.07 0.57 4.67 3.25 8.30 0.48 3.98 3.5 9.62 0.42 3.43 3.75 11.04 0.36 2.99 4 12.57 0.32 2.63 4.25 14.19 0.28 2.33 4.5 15.90 0.25 2.07 4.75 17.72 0.23 1.86 5 19.63 0.20 1.68 5.25 21.65 0.18 1.52 5.5 23.76 0.17 1.39 5.75 25.97 0.15 1.27 6 28.27 0.14 1.17
[0132] As shown in the data above, for each of the different valve seat flow diameters and a plunger bore inner diameter of about 4.0 inches, the resulting ratio is less than 11.0, and more particularly, the resulting ratio is in the range from 10.50 (at a valve seat flow diameter of 2.0 inches) to 1.17 (at a valve seat flow diameter of 6.0 inches).
Example 9Plunger Bore Inner Diameter=4.5 Inches
[0133] In this example, the plunger bore inner diameter is about 4.5 inches.
TABLE-US-00009 Flow Diameter of Flow Area of Ratio A = (Plunger Bore Ratio B = (Ratio A) * Valve Seat (in.) Valve Seat (in.sup.2) Diameter)/(Flow Area) (Tie Rod Spacing) 2 3.14 1.43 11.82 2.25 3.98 1.13 9.34 2.5 4.91 0.92 7.56 2.75 5.94 0.76 6.25 3 7.07 0.64 5.25 3.25 8.30 0.54 4.48 3.5 9.62 0.47 3.86 3.75 11.04 0.41 3.36 4 12.57 0.36 2.95 4.25 14.19 0.32 2.62 4.5 15.90 0.28 2.33 4.75 17.72 0.25 2.10 5 19.63 0.23 1.89 5.25 21.65 0.21 1.71 5.5 23.76 0.19 1.56 5.75 25.97 0.17 1.43 6 28.27 0.16 1.31
[0134] As shown in the data above, for each of the different valve seat flow diameters and a plunger bore inner diameter of about 4.50 inches, the resulting ratio is less than 12.0, and more particularly, the resulting ratio is in the range from 11.82 (at a valve seat flow diameter of 2.0 inches) to 1.31 (at a valve seat flow diameter of 6.0 inches).
Example 10Plunger Bore Inner Diameter=4.75 Inches
[0135] In this example, the plunger bore inner diameter is about 4.75 inches.
TABLE-US-00010 Flow Diameter of Flow Area of Ratio A = (Plunger Bore Ratio B = (Ratio A) * Valve Seat (in.) Valve Seat (in.sup.2) Diameter)/(Flow Area) (Tie Rod Spacing) 2 3.14 1.51 12.47 2.25 3.98 1.19 9.86 2.5 4.91 0.97 7.98 2.75 5.94 0.80 6.60 3 7.07 0.67 5.54 3.25 8.30 0.57 4.72 3.5 9.62 0.49 4.07 3.75 11.04 0.43 3.55 4 12.57 0.38 3.12 4.25 14.19 0.33 2.76 4.5 15.90 0.30 2.46 4.75 17.72 0.27 2.21 5 19.63 0.24 2.00 5.25 21.65 0.22 1.81 5.5 23.76 0.20 1.65 5.75 25.97 0.18 1.51 6 28.27 0.17 1.39
[0136] As shown in the data above, for each of the different valve seat flow diameters and a plunger bore inner diameter of about 4.75 inches, the resulting ratio is less than 12.5, and more particularly, the resulting ratio is in the range from 12.47 (at a valve seat flow diameter of 2.0 inches) to 1.39 (at a valve seat flow diameter of 6.0 inches).
Example 11Plunger Bore Inner Diameter=5.0 Inches
[0137] In this example, the plunger bore inner diameter is about 5.0 inches.
TABLE-US-00011 Flow Diameter of Flow Area of Ratio A = (Plunger Bore Ratio B = (Ratio A) * Valve Seat (in.) Valve Seat (in.sup.2) Diameter)/(Flow Area) (Tie Rod Spacing) 2 3.14 1.59 13.13 2.25 3.98 1.26 10.37 2.5 4.91 1.02 8.40 2.75 5.94 0.84 6.94 3 7.07 0.71 5.84 3.25 8.30 0.60 4.97 3.5 9.62 0.52 4.29 3.75 11.04 0.45 3.73 4 12.57 0.40 3.28 4.25 14.19 0.35 2.91 4.5 15.90 0.31 2.59 4.75 17.72 0.28 2.33 5 19.63 0.25 2.10 5.25 21.65 0.23 1.91 5.5 23.76 0.21 1.74 5.75 25.97 0.19 1.59 6 28.27 0.18 1.46
[0138] As shown in the data above, for each of the different valve seat flow diameters and a plunger bore inner diameter of about 5.0 inches, the resulting ratio is less than 13.5, and more particularly, the resulting ratio is in the range from 13.13 (at a valve seat flow diameter of 2.0 inches) to 1.46 (at a valve seat flow diameter of 6.0 inches).
Example 12Plunger Bore Inner Diameter=8.0 Inches
[0139] In this example, the plunger bore inner diameter is about 8.0 inches.
TABLE-US-00012 Flow Diameter of Flow Area of Ratio A = (Plunger Bore Ratio B = (Ratio A) * Valve Seat (in.) Valve Seat (in.sup.2) Diameter)/(Flow Area) (Tie Rod Spacing) 2 3.14 2.55 21.01 2.25 3.98 2.01 16.60 2.5 4.91 1.63 13.45 2.75 5.94 1.35 11.11 3 7.07 1.13 9.34 3.25 8.30 0.96 7.96 3.5 9.62 0.83 6.86 3.75 11.04 0.72 5.98 4 12.57 0.64 5.25 4.25 14.19 0.56 4.65 4.5 15.90 0.50 4.15 4.75 17.72 0.45 3.72 5 19.63 0.41 3.36 5.25 21.65 0.37 3.05 5.5 23.76 0.34 2.78 5.75 25.97 0.31 2.54 6 28.27 0.28 2.33
[0140] As shown in the data above, for each of the different valve seat flow diameters and a plunger bore inner diameter of about 8.0 inches, the resulting ratio is less than 22, and more particularly, the resulting ratio is in the range from 21.01 (at a valve seat flow diameter of 2.0 inches) to 2.33 (at a valve seat flow diameter of 6.0 inches).
[0141] In view of the ranges of valve seat inner diameter being the same in the Examples 7-12 above, the variable in the examples is the plunger bore inner diameter. For the examples with a tie rod spacing of 8.25, the calculated ratio, known as Ratio B, is in the range from 0.58 (for a plunger bore diameter of 2.0 inches and a valve seat inner diameter of 6.0 inches) to 21.01 (for a plunger bore diameter of 8.0 inches and a valve seat inner diameter of 2.0 inches). The embodiments set forth in the above examples are sized to permit a fluid end casing having those dimensions to mounted on and coupled to standard tie rods that have longitudinal axes that are spaced 8.25 inches apart.
[0142] By varying the relationship between the diameters as described above, a variety of different sized fluid ends can be used with standard tie rods, provided that the calculated ratio B is less than 22, and more particularly is in the range from 0.44 to 21.01.
[0143] Referring to
[0144] Thus, the data from Examples 1 through 6, as well as the range of permitted designs of the fluid end for a tie rod spacing of 6.25 inches over the range of minimum flow diameters from about 2.0 inches to about 6.0 inches are located between the two graphed lines 3010 and 3020 in graph 3000. In other words, for minimum flow diameters over the range from 2.0 inches to 6.0 inches, the dimension relationships that would permit a tie rod spacing of 6.25 inches to be used are above the lower graphed line 3010 and below the upper graphed line 3020. The data from Examples 2 through 5 above would be in between the lower line 3010 and the upper line 3020.
[0145] Similarly, referring to
[0146] Thus, the data from Examples 7 through 12, as well as the range of permitted designs of the fluid end for a tie rod spacing of 8.25 inches over the range of minimum flow diameters from about 2.0 inches to about 6.0 inches are located between the two graphed lines 3110 and 3120 in graph 3100. In other words, for minimum flow diameters over the range from 2.0 inches to 6.0 inches, the dimension relationships that would permit a tie rod spacing of 8.25 inches to be used are above the lower graphed line 3110 and below the upper graphed line 3120. The data from Examples 8 through 11 above would be in between the lower line 3110 and the upper line 3120.
[0147] Turning to
[0148] While the invention has been illustrated and described in detail and with reference to specific embodiments thereof, it is nevertheless not intended to be limited to the details shown, since it will be apparent that various modifications and structural changes may be made therein without departing from the scope of the inventions and within the scope and range of equivalents of the claims. In addition, various features from one of the embodiments may be incorporated into another of the embodiments. Accordingly, it is appropriate that the appended claims be construed broadly and in a manner consistent with the scope of the disclosure as set forth in the following claims.
[0149] Similarly, it is intended that the present invention cover the modifications and variations of this invention that come within the scope of the appended claims and their equivalents. For example, it is to be understood that terms such as left, right, top, bottom, front, rear, side, height, length, width, upper, lower, interior, exterior, inner, outer and the like as may be used herein, merely describe points of reference and do not limit the present invention to any particular orientation or configuration. Further, the term exemplary is used herein to describe an example or illustration. Any embodiment described herein as exemplary is not to be construed as a preferred or advantageous embodiment, but rather as one example or illustration of a possible embodiment of the invention.
[0150] Finally, when used herein, the term comprises and its derivations (such as comprising, etc.) should not be understood in an excluding sense, that is, these terms should not be interpreted as excluding the possibility that what is described and defined may include further elements, steps, etc. Meanwhile, when used herein, the term approximately and terms of its family (such as approximate, etc.) should be understood as indicating values very near to those which accompany the aforementioned term. That is to say, a deviation within reasonable limits from an exact value should be accepted, because a skilled person in the art will understand that such a deviation from the values indicated is inevitable due to measurement inaccuracies, etc. The same applies to the terms about and around and substantially.