Fluid flow device with discrete point calibration flow rate-based remote calibration system and method
A method/structure for calibrating a product fluid flow device having one or more apertures with aggregate area A o , where fluid flows along a fluid flow path therethrough in response to pressure differentials ΔP across the apertures. Calibration is effected relative to a calibration fluid flow device having a geometry and operational parameters corresponding to those of the product fluid flow device. A piecewise curved calibration controller establishes calibration conditions and generates a discrete point calibration flow rate (dpCFR) Function by measuring at a sparse set of points in a range of interest and determining a piecewise curved mathematical representation of fluid flow through the calibration fluid flow device. Data representative of the CFR function is transferred to a product blade controller, which processes the mathematical representation, and controls fluid flow through product fluid flow device based on values extracted from the received dpCFR Function.
1. A calibration method for calibrating a product fluid flow device-to-be-calibrated (PFFD) to a calibration fluid flow device (CFFD) remote with respect to the product fluid flow device-to-be-calibrated (PFFD), wherein the product fluid flow device-to-be-calibrated (PFFD) is characterized by product operational parameters, and adapted for disposition within a product site conduit characterized by a product inward-facing geometry and defining a product fluid flow path extending from an upstream portion of the product site conduit to a downstream portion of the product site conduit, and
wherein the product fluid flow device (PFFD) includes:
a. a product aperture assembly including one or more adjustable product apertures traversing the fluid flow path and characterized by an adjustable aggregate aperture area A o , and
b. a product actuator adapted to adjust the adjustable aggregate aperture area A o in response to an applied actuator signal,
wherein the product fluid flow device (PFFD) is adapted to pass a flowable fluid along the product flow path and through the adjustable aggregate aperture area A o in response to a product pressure differential ΔP P applied across the adjustable aggregate aperture area A o , wherein ΔP P and A o are within respective pressure and area ranges of interest ΔP and A,
comprising the steps of:
A. providing a product fluid flow device-to-be-calibrated (PFFD),
B. with a calibration fluid flow device (CFFD) at a calibration site remote with respect to the product fluid flow device (PFFD), and characterized by:
i. calibration operational parameters,
ii. the same geometry ±20% as the product fluid flow device (PFFD), including a calibration fluid flow path corresponding to the product fluid flow path of the product fluid flow device (PFFD),
iii. being disposed within a calibration site conduit at the calibration site and characterized by the same inward-facing geometry ±20% as the product site conduit,
effecting a flow of a flowable fluid along a calibration fluid flow path of the calibration fluid flow device (CFFD),
by applying:
iv. a succession of one or more pressure differentials ΔP c across the adjustable aggregate aperture A o of the calibration fluid flow device (CFFD) and
v. a succession of actuator signals to a calibration actuator to adjust the aggregate aperture A o ,
thereby generating a set of discrete point calibration flow rate (dpCFR) values in a locus of a Calibration Flow Rate (CFR) Function representative of the flow rate of the flowable fluid for a range of sparse discrete A O ,ΔP c points in an associated A o ,ΔP space, where sparse points are fewer than all points in the range of A o ,ΔP c points in A o ,ΔP space,
C. responsive to the discrete point calibration flow rate (dpCFR) values: by a calibration processor at a calibration site:
i. generating tile data representative of a mathematical surface segment including a nested array of one or more tiles having three or more vertices wherein at least three of the three or more vertices of the one or more tiles are disposed in the locus of the CFR Function in A o ,ΔP space, and
ii. transferring the tile data to a product site remote with respect to the calibration site, and
D. receiving the transferred tile data at the product site and generating actuator signals and pressure differentials ΔP c for application to the product fluid flow device (PFFD) thereby effecting control of the product operational parameters of the product fluid flow device (PFFD) to conform to the calibration operational parameters of the calibration fluid flow device (CFFD), thereby calibrating the product fluid flow device (PFFD) to the calibration fluid flow device (CFFD).
2. The calibration method according to claim 1 wherein fluid flow exiting from one or more of the product apertures of the adjustable product aperture assembly establish one or more vena contractae extending downstream from respective product apertures.
3. The calibration method according to claim 1 wherein fluid flow exiting from one or more of the calibration apertures of the adjustable calibration aperture assembly establish one or more vena contractae extending downstream from respective calibration apertures.
4. The calibration method according to claim 1 wherein the mathematical surface segment has the form of a nested array of two or more mutually adjacent n-gons.
5. The calibration method according to claim 4 wherein n is an integer from the group consisting of 3, 4 and 6.
6. The calibration method according to claim 1 wherein the nested array of the mathematical surface segment includes two or more mutually adjacent geometrically similar n-gons.
7. The calibration method according to claim 1 wherein the nested array of the mathematical surface segment includes two or more mutually adjacent geometrically identical ±20% n-gons.
8. The calibration method according to claim 1 wherein the nested array of the mathematical surface segment includes two or more mutually adjacent planar n-gons.
9. The calibration method according to claim 1 wherein the nested array of the mathematical surface segment includes two or more mutually adjacent curved or non-curved n-gons.
10. The calibration method according to claim 1 wherein the nested array of the mathematical surface segment includes at least one curved n-gon and at least one planar n-gon.
11. The calibration method according to claim 1 wherein the flowable fluid is a liquid fluid.
12. The calibration method according to claim 1 wherein the flowable fluid is a particulate fluid.
13. The calibration method according to claim 1 wherein the flowable fluid is a gaseous fluid.
14. The calibration method according to claim 13 wherein the gaseous fluid is air in a building.
15. The calibration method according to claim 14 wherein at least a portion of the air in the building is adapted for distribution in the building for control of one or more parameters of interest.
16. The calibration method according to claim 15 wherein the one or more parameters of interest include one or more of the group consisting of temperature, humidity and carbon dioxide content.
17. The calibration method according to claim 13 wherein the gaseous fluid is a medical gas from the group consisting of oxygen, carbon dioxide, nitrogen, nitrous oxide, argon, helium and anesthesia gas.
18. The calibration method according to claim 13 wherein the gaseous fluid is a processing gas for manufacturing semiconductor devices.
19. The calibration method according to claim 13 wherein the gaseous fluid is a processing gas for effecting clean air.
20. The calibration method according to claim 13 wherein the gaseous fluid is a processing gas for painting systems.
21. The calibration method according to claim 13 wherein the gaseous fluid is a gas adapted to support combustion in industrial applications.
22. A calibration system for remotely calibrating a product fluid flow device (PFFD) having product operational parameters and being adapted for disposition within a product site conduit, at a product site, characterized by a product inward-facing geometry and defining a product fluid flow path extending from an upstream portion of the product site conduit to a downstream portion of the product site conduit, and wherein the product fluid flow device (PFFD) comprises:
i. a product aperture assembly characterized by the product inward-facing geometry including one or more adjustable product apertures traversing the fluid flow path, resulting in an adjustable aggregate aperture area A o , and
ii. a product actuator adapted to adjust the adjustable aggregate aperture area A o in response to an applied actuator signal,
wherein the product fluid flow device (PFFD) is adapted to pass a flowable fluid along the product flow path and through the adjustable aggregate aperture area A o in response to a product pressure differential ΔP P applied across the adjustable aggregate aperture area A o , wherein ΔP P and A o are within respective pressure ranges and area ranges of interest, ΔP and A, the calibration system comprising:
A. a calibration fluid flow device (CFFD) that generates a set of discrete point calibration flow rate (dpCFR) values in a locus of a Calibration Flow Rate (CFR) Function representative of the flow rate of the flowable fluid for a range of A o , ΔP c points in an associated A o , ΔP space,
B. a calibration processor (CP) responsive to the discrete point calibration flow rate (dpCFR) values to:
a. generate tile data for a mathematical surface segment representative of a nested array of one or more tiles having three or more vertices wherein at least three of the three or more vertices of one or more tiles are disposed in the locus of the CFR Function, and
b. transfer the tile data to a product processor (PP) situated at the product site.
23. The calibration system according to claim 22 wherein the calibration fluid flow device (CFFD) comprises:
a. calibration operational parameters,
b. a same geometry ±20% as the product fluid flow device (PFFD), including a calibration fluid flow path corresponding the product fluid flow path of the product fluid flow device (PFFD),
c. being disposed within a calibration site conduit characterized by a same inward-facing geometry ±20% as the product site conduit, and
wherein the calibration fluid flow device (CFFD) is adapted to effect a flow of a flowable fluid along a calibration fluid flow path of the calibration fluid flow device (CFFD).
24. The calibration system according to claim 22 wherein the product processor (PP) comprises an associated product configuration device (PCD), and wherein the product processor (PP) is adapted to receive the transferred tile data, and the product configuration device (PCD) is adapted to separately from, or in concert with, the product processor (PP), generates actuator signals effective for application to the product fluid flow device (PFFD) to effect control of the product operational parameters of the product fluid flow device (PFFD) to conform to the calibration operational parameters of the calibration fluid flow device (CFFD), thereby calibrating the product fluid flow device (PFFD) to the calibration fluid flow device (CFFD).
25. The calibration system according to claim 22 wherein fluid flow exiting from one or more of the product apertures of the adjustable product aperture assembly establish one or more vena contractae extending downstream from respective product apertures.
26. The calibration system according to claim 22 wherein fluid flow exiting from one or more of the calibration apertures of the adjustable calibration aperture assembly establish one or more vena contractae extending downstream from respective calibration apertures.
27. The calibration system according to claim 22 wherein the mathematical surface segment has the form of a nested array of two or more mutually adjacent n-gons.
28. The calibration system according to claim 27 wherein n is an integer from the group consisting of 3, 4 and 6.
29. The calibration system according to claim 22 wherein the nested array of the mathematical surface segment includes two or more mutually adjacent geometrically similar n-gons.
30. The calibration system according to claim 22 wherein the nested array of the mathematical surface segment includes two or more mutually adjacent geometrically identical ±20% n-gons.
31. The calibration system according to claim 22 wherein the nested array of the mathematical surface segment includes two or more mutually adjacent planar n-gons.
32. The calibration system according to claim 22 wherein the nested array of the mathematical surface segment includes two or more mutually adjacent curved n-gons.
33. The calibration system according to claim 22 wherein the nested array of the mathematical surface segment includes at least one curved n-gon and at least one planar n-gon.
34. The calibration system according to claim 22 wherein the flowable fluid is a liquid fluid.
35. The calibration system according to claim 22 wherein the flowable fluid is a particulate fluid.
36. The calibration system according to claim 22 wherein the flowable fluid is a gaseous fluid.
37. The calibration system according to claim 36 wherein the gaseous fluid is air in a building.
38. The calibration system according to claim 37 wherein at least a portion of the air in the building is adapted for distribution in the building for control of one or more parameters of interest.
39. The calibration system according to claim 38 wherein parameters of interest include one or more of the group consisting of temperature, humidity and carbon dioxide content.
40. The calibration system according to claim 36 wherein the gaseous fluid is a medical gas from the group consisting of oxygen, carbon dioxide, nitrogen, nitrous oxide, argon, helium and anesthesia gas.
41. The calibration system according to claim 36 wherein the gaseous fluid is a processing gas for manufacturing semiconductor devices.
42. The calibration system according to claim 36 wherein the gaseous fluid is a processing gas for effecting clean air.
43. The calibration system according to claim 36 wherein the gaseous fluid is a processing gas for painting systems.
44. The calibration system according to claim 36 wherein the gaseous fluid is a gas adapted to support combustion in industrial applications.