Software correction method and apparatus for a variable orifice flow meter
A method of improving the accuracy of a variable orifice flow meter that includes characterizing the flow coefficient of the flow meter orifice for different orifice openings and for different differential pressures. The method may be particularly useful with a flow metering and controlling device that includes a fluid flow conduit having at least one planar inner wall and an element having a linear edge configured to mate with the at least one planar inner wall of the fluid flow conduit. The element is movable relative to the conduit to define a flow orifice and vary a cross-sectional area of the orifice. The device also includes a processor configured to calculate the fluid flow based on the cross-sectional area of the orifice, the differential pressure, and the flow coefficient.
1. A method of metering fluid flow through an orifice, the fluid having a density and a viscosity, the method comprising the steps of:
providing an orifice geometry defined by the orifice and a pressure differential across the orifice;
determining a ratio of Reynolds number divided by flow coefficient (Re/K) using the orifice geometry, the pressure differential, the density and the viscosity;
determining a flow coefficient using the orifice geometry and the determined (Re/K) ratio; and
determining a fluid flow through the orifice using the determined flow coefficient.
2. The method of claim 1 , wherein determining the flow coefficient includes using a low-order univariate polynomial and a triangulated surface to interpolate a value for the flow coefficient.
3. The method of claim 1 , further comprising determining a temperature of the fluid and determining the density and the viscosity using the determined temperature.
4. The method of claim 1 , further comprising determining a set of calibration data points by measuring fluid flow through the orifice for a predetermined set of pressure conditions and orifice geometries, wherein the orifice geometry and the pressure condition are between the calibration data points.
5. The method of claim 4 , further comprising determining an Re/K ratio for each calibration data point, and using a low-order univariate polynomial and a triangulated surface to interpolate a value for the flow coefficient using the determined Re/K ratios for the pressure condition and the orifice geometry.
6. The method of claim 1 , wherein the orifice is constructed as a variable sized orifice, the method further comprising obtaining a set of calibration data points by measuring the orifice geometry for a predetermined set of pressure conditions and fluid flow value.
7. A method of determining a flow coefficient (K) in a flow metering device, the flow metering device having an orifice opening, the method comprising calculating the flow coefficient (K) using a Reynolds number (Re) value and geometry of the orifice opening.
8. The method of claim 7 , further comprising determining the Reynolds number value using density and viscosity values of a fluid flowing through the orifice opening.
9. The method of claim 7 , further comprising obtaining a set of calibration data points by measuring fluid flow through the orifice opening for a predetermined set of pressure conditions and the orifice opening geometry.
10. The method of claim 7 , further comprising determining an Re/K ratio for each of the calibration data points.
11. The method of claim 10 , further comprising determining a surface by fitting a univariate polynomial in orifice geometry to generate a flow coefficient for each of the calibration data points.
12. The method of claim 11 , further comprising determining a residual surface that is a difference (ΔK) between the surface defined by the polynomial and the calibration data points.
13. A device for metering fluid flow, comprising:
an orifice defined by a fluid flow conduit, the orifice having an orifice geometry;
a pressure sensor configured to determine a pressure differential across the orifice and generate a pressure signal; and
a processor configured to determine the fluid flow rate using the pressure signal, the orifice geometry, and a flow coefficient that is dependent on the pressure signal, the orifice geometry, and the viscosity and density of the fluid.
14. The device of claim 13 , further comprising a temperature sensor configured to determine a temperature of the fluid.
15. The device of claim 14 , wherein the fluid temperature is used to determine the viscosity and density of the fluid.
16. The device of claim 13 , further comprising nonvolatile memory accessible by the processor, wherein a plurality of constants used for determining the flow coefficient are stored in the nonvolatile memory.
17. The device of claim 13 , wherein the orifice is a variable sized orifice.
18. A method of metering fluid flow through an orifice, comprising:
providing an orifice geometry and a pressure differential across the orifice;
determining a ratio of Reynolds number divided by flow coefficient using at least the orifice geometry and pressure differential; and
determining a fluid flow through the orifice using the orifice geometry, the pressure differential, and ratio of Reynolds number divided by flow coefficient (Re/K).
19. The method of claim 18 , wherein the ratio of Reynolds number divided by flow coefficient (Re/K) is determined using the orifice geometry, the pressure differential, and a density and viscosity of a fluid flowing through the orifice.
20. The method of claim 18 , further comprising determining a flow coefficient using the orifice geometry and the determined (Re/K) ratio, wherein determining the fluid flow through the orifice further includes using the determined flow coefficient.
21. The method of claim 20 , wherein determining the flow coefficient includes using a low-order univariate polynomial and a triangulated surface to interpolate a value for the flow coefficient.
22. The method of claim 18 , further comprising determining a temperature of the fluid and determining the density and the viscosity using the determined temperature.
23. The method of claim 18 , further comprising determining a set of calibration data points by measuring fluid flow through the orifice opening for a predetermined set of pressure conditions and the orifice geometry, wherein the orifice geometry and the pressure condition are between the calibration data points.
24. The method of claim 23 , further comprising determining an Re/K ratio for each calibration data point, and using a low-order univariate polynomial and a triangulated surface to interpolate a value for the flow coefficient using the determined Re/K ratios for the pressure condition and the orifice geometry.
25. A method of metering fluid flow through an orifice, comprising:
providing an orifice geometry and a pressure differential across the orifice;
determining a flow coefficient of the fluid flow; and
determining the fluid flow using the orifice geometry, the pressure differential, and the flow coefficient.
26. The method of claim 25 , wherein determining the flow coefficient includes using the orifice geometry and a ratio of Reynolds number divided by flow coefficient (Re/K).
27. The method of claim 26 , wherein the ratio of Reynolds number divided by flow coefficient (Re/K) is determined using the orifice geometry, the pressure differential, and a density and viscosity of a fluid flowing through the orifice.
28. The method of claim 26 , wherein determining the flow coefficient includes using a low-order univariate polynomial and a triangulated surface to interpolate a value for the flow coefficient.
29. The method of claim 26 , further comprising determining a set of calibration data points by measuring fluid flow through the orifice opening for a predetermined set of pressure conditions and the orifice geometry, wherein the orifice geometry and the pressure condition are between the calibration data points.
30. The method of claim 29 , further comprising determining an Re/K ratio for each calibration data point, and using a low-order univariate polynomial and a triangulated surface to interpolate a value for the flow coefficient using the determined Re/K ratios for the pressure condition and the orifice geometry.
31. The method of claim 25 , further comprising determining a temperature of the fluid and determining the density and the viscosity using the determined temperature.