FLOW RATE MEASUREMENT DEVICE AND FLOW RATE MEASUREMENT METHOD
20200209022 ยท 2020-07-02
Inventors
Cpc classification
G01F7/005
PHYSICS
International classification
Abstract
Provided are a flow rate measurement device and a flow rate measurement method capable of accurately measuring flow rates not only in a turbulent flow region but also in a laminar flow region and a transition region. A processor includes: a parameter generator that obtains a reference differential pressure in a flow rate calculation formula of expression 1 as follows, based on already-known flow rates and measured differential pressures corresponding thereto, and generates two parameter sets each including coefficients c1 to c3 of the flow rate calculation formula, with the reference differential pressure being a boundary; a differential pressure determination unit that selects one of the two parameter sets by comparing a measured differential pressure of a fluid as a measurement target with the reference differential pressure; and a flow rate calculator that calculates a flow rate of the fluid from the parameter set and the measured differential pressure.
P=c1Q+c2Q.sup.2+c3(expression 1)
(Q: flow rate, P: differential pressure, coefficient of kinematic viscosity, : density, c1 to c3: coefficients)
Claims
1. A flow rate measurement device comprising a measurement instrument and a processor, the measurement instrument being configured to measure a differential pressure between a first pressure in a first pressure receiver of a tube body in which a fluid flows, and a second pressure in a second pressure receiver of the tube body, the processor being configured to calculate a flow rate of the fluid on the basis of a measured differential pressure, the processor comprising: a parameter generator configured to obtain a reference differential pressure in a flow rate calculation formula according to expression 1 as follows, on the basis of a plurality of already-known flow rates and measured differential pressures corresponding to the respective already-known flow rates, and generate two parameter sets each including coefficients c1 to c3 of the flow rate calculation formula, with the reference differential pressure being a boundary; a differential pressure determination unit configured to select one of the two generated parameter sets by comparing a measured differential pressure of a fluid as a measurement target with the reference differential pressure; and a flow rate calculator configured to calculate a flow rate of the fluid by substituting the selected parameter set and the measured differential pressure into the flow rate calculation formula:
P=c1Q+c2Q.sup.2+c3(expression 1) (Q: flow rate, P: differential pressure, coefficient of kinematic viscosity, : density, c1 to c3: coefficients)
2. The flow rate measurement device according to claim 1, wherein the tube body includes, inside thereof, a columnar member extending in a direction perpendicular to a flow direction of the fluid, the first pressure receiver is a first measurement hole provided on an upstream side, in the flow direction, of the columnar member, and the second pressure receiver is a second measurement hole provided on a downstream side, in the flow direction, of the columnar member, the columnar member has a streamline shape that is line symmetric with respect to a first plane that is perpendicular to a center axis of the tube body and passes the center of a length, along the flow direction, of the columnar member, and the first measurement hole and the second measurement hole are arranged in line symmetry with respect to the first plane.
3. The flow rate measurement device according to claim 1, wherein the columnar member is line symmetric with respect to a second plane that includes a center axis of the tube body and is parallel to the direction along which the columnar member extends.
4. The flow rate measurement device according to claim 3, wherein the columnar member, which is projected on a third plane that is perpendicular to the first plane and the second plane, has a shape with an outer peripheral surface that is defined by expression 2 and expression 3 as follows:
L=2(K+r)(expression 2)
d=2(K(1/cos tan )+r)(expression 3) (O: origin point, d: width of the columnar member, L: length of the columnar member in the flow direction, r: radius of an arc centered around point a that is K away from the origin point O in the flow direction, : center angle of the arc/2)
5. The flow rate measurement device according to claim 2, wherein a length of the columnar member in the direction along which the columnar member extends in the tube body is smaller than a diameter of the tube body.
6. The flow rate measurement device according to claim 2, wherein the first measurement hole and the second measurement hole are positioned on the center axis of the tube body.
7. The flow rate measurement device according to claim 2, wherein the columnar member is solid, and tubular communication paths communicating with the first measurement hole and the second measurement hole are formed in the columnar member.
8. The flow rate measurement device according to claim 1, wherein the fluid is breathing air.
9. The flow rate measurement device according to claim 1, wherein the fluid is medical gas.
10. The flow rate measurement device according to claim 1 further comprising a columnar member extending in a direction perpendicular to a flow direction of the fluid, wherein the first pressure receiver is a first opening provided through a tube wall of the tube body, the columnar member is positioned on a downstream side in the flow direction relative to the first opening, and the second pressure receiver is a second opening provided on the downstream side of the columnar member.
11. The flow rate measurement device according to claim 1, wherein the tube body has, on a tube wall, an orifice that reduces a tube path, the first pressure receiver is a first opening provided in the tube wall on an upstream side in a flow direction of the fluid relative to the orifice, and the second pressure receiver is a second opening provided in the tube wall on a downstream side in the flow direction of the fluid relative to the orifice.
12. A flow rate measurement method for measuring a differential pressure between a first pressure in a first pressure receiver of a tube body in which a fluid flows and a second pressure in a second pressure receiver of the tube body, and calculating a flow rate of the fluid on the basis of a measured differential pressure, the method comprising: causing a fluid to flow in the tube body at a plurality of already-known flow rates; obtaining a reference differential pressure in a flow rate calculation formula according to expression 4 as follows, on the basis of the plurality of already-known flow rates and measured differential pressures corresponding to the respective already-known flow rates, and generating two parameter sets each including coefficients c1 to c3 of the flow rate calculation formula, with the reference differential pressure being a boundary; causing a fluid as a measurement target to flow in the tube body; selecting one of the two generated parameter sets by comparing a measured differential pressure of the fluid as the measurement target with the reference differential pressure; and calculating a flow rate of the fluid by substituting the selected parameter set and the measured differential pressure into the flow rate calculation formula:
P=c1Q+c2Q.sup.2+c3(expression 4) (Q: flow rate, P: differential pressure, coefficient of kinematic viscosity, : density, c1 to c3: coefficients)
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DESCRIPTION OF EMBODIMENTS
[0031] Next, the present invention will be described in more detail with reference to
[0032] As shown in
[0033] As shown in
[0034] As shown in
[0035] As shown in
[0036] The tube body 4 is a circular tube mounted to a casing 20 so as to penetrate the casing 20 as shown in
[0037] In the present embodiment, as shown in
[0038] In addition, since the first and second pressure receivers 51a and 51b for measuring the differential pressure P are provided in the columnar member 5, it is not necessary to provide a static pressure hole for measuring a static pressure in the tube wall 41 of the tube body 4, in contrast to, for example, a conventional orifice flowmeter provided with a restrictor (orifice) or the back-pressure and differential-pressure type flowmeter disclosed in Patent Document 1 described above. Thus, the size of a straight tube portion, which is required to be provided before and after the pressure receiver 51 for measuring the differential pressure P, can be made equal to about a diameter D of the tube body 4 (it is about 15 times the diameter D in the orifice flowmeter, and about 4 times the diameter D in the back-pressure and differential-pressure flowmeter). Therefore, significant size-reduction and weight-reduction can be achieved as compared to the conventional flow rate measurement devices. In the example of the present embodiment, the overall length of the tube body 4 can be reduced, thereby making the measuring instrument 2 compact.
[0039] Furthermore, regarding the columnar member 5, as shown in
[0040] As shown in
[0041] Further, regarding the columnar member 5 having the streamline shape according to the present embodiment, the shape thereof, which is projected onto a third plane S3 perpendicular to the first plane 51 and the second plane S2, has an outer peripheral surface 50a that is defined by the aforementioned expressions 2 and 3. It is assumed that the origin point O is the center of the columnar member 5. The streamline shape means that the shape of the columnar member 5 projected onto the third plane S3 is a curve that is smoothly continuous along the flow direction X. In the present embodiment, as shown in
[0042] Here, in the flow rate calculation formula according to the above expression 1, the term c1Q is referred to as a viscosity term, and the term c2Q.sup.2 is referred to as an inertial term. If the temperature and the pressure of the fluid are substantially constant, the kinematic viscosity coefficient 11 and the density p have constant values in the fluid, so that the relationship in magnitude between the viscous force and the inertial force is the relationship in magnitude between c1 and c2. The parameter set B generated by the parameter generator 34 is a combination of coefficients c1, c2, and c3 in the respective terms of the flow rate calculation formula.
[0043] In measuring the differential pressure P, the fluid collides with the columnar member 5 and changes its flow. At this time, depending on the shape of the columnar member 5, the parameters in the viscosity term and the inertial term vary. Specifically, when the width d of the columnar member 5 is increased like a circular shape, the inertial force is increased. On the other hand, when the length L of the columnar member 5 in the down-flow direction is increased like an oval shape, the viscous force is increased. However, if the length L is too long, the columnar member 5 enters a turbulent boundary layer and is affected by transient characteristics of vortex.
[0044] Since the viscosity term, which is the first-order term with the flow rate Q being a variable in the flow rate calculation formula according to expression 1, is proportional to the length L of the columnar member 5 in the flow direction X, a gradient N of the flow rate calculation formula satisfies N=2c2Q+c1L. Therefore, in particular, when the flow rate Q is small (when the differential pressure P is small), the gradient N can be approximated to N=c1L, and thus the length L becomes dominant in the gradient N of the flow rate calculation formula. Therefore, the gradient N increases with an increase in the length L, and the calculation accuracy of the flow rate Q is improved when the differential pressure P is small.
[0045] Meanwhile, the inertial term, which is the second-order term in the flow rate calculation formula, is proportional to the cross-sectional area of the columnar member 5 in the flow direction X. Therefore, when the width d of the columnar member 5 is reduced, the length L becomes more dominant in the gradient N of the flow rate calculation formula. In addition, when the width d of the columnar member is reduced, the area occupied by the columnar member 5 in the cross section perpendicular to the flow direction X is small, whereby pressure loss can be reduced.
[0046] Meanwhile, in the vicinity of the outer peripheral surface 50a of the columnar member 5, a boundary layer of the fluid is formed along the flow direction X. This boundary layer is a laminar boundary layer caused by laminar flow when the flow rate Q of the fluid is small, and is a turbulent boundary layer caused by turbulent flow when the flow rate Q is large. Furthermore, in the laminar boundary layer, as shown in
[0047] Next, the procedure of measuring a flow rate Q of a fluid by using the flow rate measurement device 1 according to the present embodiment will be described.
[0048] First, a fluid is caused to flow in the tube body 4 at already-known different flow rates Q, and differential pressures P corresponding to the flow rates Q are measured multiple times by the measuring instrument 3 to obtain a whole data group A of the differential pressures P corresponding to the flow rates Q.
[0049] Next, for example, a provisional reference flow rate Q and a provisional reference differential pressure P corresponding thereto are determined. Then, data, of the whole data group A, which are positioned in a range smaller than a reference flow rate Q and a reference differential pressure P are regarded as a small data group A1, and the other data are regarded as a large data group A2. Then, as shown in
[0050] After generation of the parameter sets B1 and B2, measurement of actual breathing air is performed as follows. A subject sends expired air from a first end portion 4a of the tube body 4 to a second end portion 4b of the tube body 4. At this time, the pressure sensor 21 measures a differential pressure P of the expired air at the first and second measurement holes 51a and 51b. The measured differential pressure P is transmitted and received by the first communication unit 23 and the second communication unit 31, and is input to the data processor 32. Then, the differential pressure determination unit 35 compares the magnitudes of the reference differential pressure P generated by the parameter generator 34 and the measured differential pressure P. The differential pressure determination unit 35 selects the parameter set B1 when the differential pressure P is smaller than the reference differential pressure P, and selects the parameter set B2 when the differential pressure P is larger than the reference differential pressure P.
[0051] Then, the flow rate calculator 35 substitutes the selected parameter set B and the measured differential pressure P into the flow rate calculation formula to calculate a flow rate Q. The calculated flow rate Q is stored in the storage unit 37 and displayed on the display 33. Since the columnar member 5 of the flow rate measurement device 1 has bidirectionality, inspired air can also be measured as well as the expired air. That is, both the expired air and the inspired air can be measured by the single flow rate measurement device 1 without changing the settings and the like. Note that the flow rate Q may be displayed in any mode on the display 33. For example, the flow rate Q may be displayed as a time course graph having a horizontal axis representing time and a vertical axis representing the flow rate Q, or as an integrated flow rate from start of measurement.
[0052] For the purpose of confirming the effectiveness of the present invention, the inventors have compared a case where a differential pressure P was calculated with only one parameter set B by using the whole data group A and a case where a differential pressure P was calculated by using two parameter sets B1 and B2. The result is shown in
[0053] As shown in
[0054] On the other hand, in the case where the parameter set to be applied to the flow rate calculation formula is selectable from the parameter sets B1 and B2 with the reference differential pressure P as the boundary, as shown in
[0055] Finally, possibilities of other embodiments of the present invention will be described. The same members as those of the above embodiment are denoted by the same reference numerals.
[0056] In the above embodiment, the leading end 53 of the columnar member 5 abuts on the tube inner surface 41a (contacts the tube inner surface 41a or is adhered to the tube inner surface 41a). However, the columnar member 5 is not limited thereto, and the leading end 53 need not abut on the tube inner surface 41a. A length L2 of the columnar member 5 in the extending direction Y in the intra-tube space 40 may be smaller than the diameter D of the tube body 4. For example, as shown in
[0057] In the above embodiment, the first measurement hole 51a as the first pressure receiver is provided on the upstream side US of the columnar member 5 while the second measurement hole 51b as the second pressure receiver is provided on the downstream side DS of the columnar member 5, and the differential pressure P between the first and second measurement holes 51a and 51b is measured. However, each of flowmeters shown in
[0058] The flowmeter shown in
[0059] Meanwhile, in the flowmeter shown in
[0060] Furthermore, in the aforementioned embodiment, the measuring instrument 2 and the processor 3 are provided with the respective communication units so as to be configured as separated units. However, the measuring instrument 2 and the processor 3 may be integrated with each other. For example, a data processor 32, a display 33, and the like can be provided in the measuring instrument 2 itself.
[0061] In the aforementioned embodiment, breathing air is described as an example of a fluid. However, the fluid is not limited to breathing air, and may be, for example, medical gas such as oxygen, for a patient, which is equipped on the wall of a hospital room. Of course, the aforementioned embodiment is applicable not only to medical gases but also to other gases and liquids. Furthermore, in a case where the flow rate of a fluid that flows in an already-existing tube is measured, a columnar member included in a measurement device may be inserted into a hole opened through the tube, or the already-existing tube may be cut out and a tube equipped with a columnar member may be connected.
INDUSTRIAL APPLICABILITY
[0062] The present invention can be used as a flow rate measurement device and a flow rate measurement method for measuring not only the flow rate (vital capacity) associated with breathing but also the flow rates of various gases and liquids.
DESCRIPTION OF THE REFERENCE CHARACTERS
[0063] 1 flow rate measurement device [0064] 2 measuring instrument [0065] 3 processor [0066] 4 tube body (circular tube) [0067] 4a first end portion (introduction portion) [0068] 4b second end portion (open portion) [0069] 5 columnar member [0070] 20 casing [0071] 21 pressure sensor [0072] 22 A/D converter [0073] 23 first communication unit (transmission unit) [0074] 31 second communication unit (receiving unit) [0075] 32 data processor [0076] 33 display [0077] 34 parameter generator [0078] 35 differential pressure determination unit [0079] 36 flow rate calculator [0080] 37 storage unit [0081] 40 intra-tube space (flow path) [0082] 41 tube wall [0083] 41a tube inner surface [0084] 42 center axis (tube axis) [0085] 50 body portion [0086] 50a outer peripheral surface [0087] 51 pressure receiver (measurement hole) [0088] 51a first pressure receiver (first measurement hole) [0089] 51b second pressure receiver (second measurement hole) [0090] 52 communication path [0091] 52a first communication path [0092] 52b second communication path [0093] 60 Pitot tube [0094] 61a first opening [0095] 61b second opening [0096] 70 orifice [0097] 71a first opening [0098] 71b second opening [0099] A whole data group [0100] A1 small data group [0101] A2 large data group [0102] B parameter set [0103] P differential pressure [0104] P reference differential pressure [0105] R unseparated flow [0106] R separated flow [0107] X flow direction (tube axis direction) [0108] Y orthogonal direction (tube diameter direction) [0109] Z extending direction [0110] US upstream side [0111] DS downstream side [0112] S1 to S3 first to third planes