# US 5,343,758 A · Method and apparatus for measuring gas flow > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 5,343,758 A - Document ID: US5343758A - Status: Granted - Kind: A - Application number: 07/998,591 - Filed: 1992-12-30 - Granted: 1994-09-06 - Earliest claimed: 1991-12-30 - Assignees: Gaz de France; Universite du Quebec aTrois Rivieres - Inventors: Dominique Ingrain; Tapan Bose; Jean-Marie Saint-Arnaud - Web page: https://patentgrep.com/patent/US5343758A ## CPC - G01F 15/043: {using electrical means} - G01F 1/66: by measuring frequency, phase shift or propagation time of electromagnetic or other waves, e.g. using ultrasonic flowmeters - G01N 27/221: {by investigating the dielectric properties (using microwaves G01N22/00; measuring loss factors or dielectric constants per se G01R27/26)} - G01F: MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME - G01N: INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES (measuring or testing apparatus or processes other than immunoassay, involving enzymes or microorganisms C12M, C12Q) ## Abstract A method and apparatus for measuring the gaseous flow of a fluid flowing along a duct, the apparatus comprises a processing and control unit connected firstly to a flow rate measuring device which delivers data representative of the flow rate Qm of the gas under the conditions of temperature Tm and pressure Pm that are determined by temperature and pressure sensors disposed in said duct, and secondly to a unit for determining the compressibility factor Zm, which unit delivers data representative of the dielectric constant .epsilon. of the gas flowing in the duct, so as to enable the flow rate Q of the gas to be determined as reduced to predefined reference conditions of temperature To, pressure Po, and compressibility factor Zo. The data representative of the dielectric constant of the gas is obtained by a capacitive transducer constituted by a cylindrical capacitor placed under the same thermodynamic conditions as applied to the flow of gas. ## Claims ### Claim 1 A method of measuring the gas flow of a fluid flowing along a duct, the method comprising the following steps: a) measuring the temperature Tm and the pressure Pm of said gas under its flow conditions by means of temperature and pressure sensors disposed in the duct; b) determining the flow rate Qm of said gas under its flow conditions by means of a flow measuring device; c1) causing said gas to flow through a capacitive transducer which has been placed in the same thermodynamic conditions as apply to the flow of gas; measuring the capacitance of the capacitive transducer through which the gas passes, the capacitance in vacuo of said transducer having previously been established by measurements performed in vacuo, to determine the dielectric constant .epsilon. of the gas under its flow conditions; d) calculating the compressibility factor by means of a processing and control unit on the basis of the determined dielectric constant .epsilon. of the gas and of the measured temperature and pressure Tm, Pm, using the following equation: ##EQU10## with: ##EQU11## R being the perfect gas constant and A.sub..epsilon., B.sub..epsilon., and C.sub..epsilon. being coefficients depending in determined manner on the composition of the gas; and e) calculating the gas flow rate Q along the duct as reduced to predetermined reference conditions of temperature To, pressure To, and compressibility factor Zo in the processing and control unit, using the following equation: Q=Qm(Pm/Po)(To/Tm)(Zo/Zm). ### Claim 2 A method of measuring the gas flow of a fluid flowing along a duct, the method comprising the following steps: a) measuring the temperature Tm and the pressure Pm of said gas under its flow conditions by means of temperature and pressure sensors disposed in the duct; b) determining the flow rate Qm of said gas under its flow conditions by means of a flow measuring device; wherein the method further comprising the following steps: c1 ) causing said gas to flow through a capacitive transducer which has been placed in the same thermodynamic conditions as apply to the flow gas; c2) measuring the capacitance of the capacitive transducer through which the gas passes, the capacitance in vacuo of said component having previously been established by measurements performed in vacuo, to determine the dielectric constant .epsilon. of the gas under its flow conditions; d) calculating the compressibility factor by means of a processing and control unit on the basis of the determined dielectric constant .epsilon. of the gas and the measured temperature and pressure Tm, Pm, using the following equation: ##EQU12## with: ##EQU13## R being the perfect gas constant A.sub..epsilon. and B.sub..epsilon. being coefficients depending in determined manner on the composition of the gas; and e) calculating the gas flow rate Q along the duct as reduced to predetermined reference conditions of temperature To, pressure Po, and compressibility factor Zo in the processing and control unit, using the following equation: Q=Qm(Pm/Po)(To/Tm)(Zo/Zm). ### Claim 3 A method of measuring the gas flow of a fluid flowing along a duct, the method comprising the following steps: a) measuring the temperature Tm and the pressure Pm of said gas under its flow conditions by means of temperature and pressure sensors disposed in the duct; b) determining the flow rate Qm of said gas under its flow conditions by means of a flow measuring device; wherein the method further comprises the following steps: c1 ) causing said gas to flow through a capacitive transducer which has, been placed in the same thermodynamic conditions as apply to the flow of gas; c2) measuring the capacitance of the capacitive transducer through which the gas passes, the capacitance in vacuo of said component having previously been established by measurements performed in vacuo, to determine the dielectric constant .epsilon. of the gas under its flow conditions; d) calculating the compressibility factor by means of a processing and control unit on the basis of the determined dielectric constant .epsilon. of the gas and of the measured temperature and pressure Tm, Pm, using the following equation: ##EQU14## R being the perfect gas constant and A.epsilon. being a coefficient depending in determining manner on the composition of the gas; and e) calculating the gas flow rate Q along the duct as reduced to predetermined reference conditions of temperature To, pressure Po, and compressibility factor Zo in the processing and control unit, using the following equation: Q=Qm(Pm/Po)(To/Tm)(Zo/Zm). ### Claim 4 (depends on 1, 2, 3) A method according to any one of claims 1 to 3, further comprising the step of minimizing turbulence by placing a cylindrical capacitor which serves as said capacitive transducer in the flow of gas in the duct. ### Claim 5 A gas flow measuring device for a fluid flowing in a duct, the device comprising a processing and control unit connected firstly to means for measuring a flow rate Qm of the gas, said flow rate measuring means including temperature Tm and pressure Pm measuring means consisting of temperature and pressure sensors disposed in said duct, and secondly to means for determining a compressibility factor Zm of said gas flowing in the duct, the compressibility determining means in turn including means for measuring the dielectric constant .epsilon. of the gas flowing along the duct in order to determine the compressibility of the gas, whereby the gas flow rate Q reduces to predefined reference conditions of temperature To, pressure Po, and compressibility factor Zo. ### Claim 6 (depends on 5) A measurement device according to claim 5, wherein said dielectric constant measuring means comprises a capacitor transducer placed in the same thermodynamic flow conditions as the gas. ### Claim 7 (depends on 6) A measurement device according to claim 6, wherein said capacitive transducer is constituted by a cylindrical capacitor in order to minimize the turbulence that exists in the flow of gas along the duct. ### Claim 8 (depends on 5) A measurement device according to claim 5, wherein said processing and control unit includes analog means for evaluating the dielectric constant .epsilon. of the gas; a micro-controller circuit for determining parameters characteristic of the gas on the basis of said evaluation and of the measured pressure, temperature, and flow rate of the gas; an input and display unit for displaying said parameters on request from an operator; and interface circuits for transmitting said parameters remotely. ### Claim 9 (depends on 8) A measurement device according to claim 8, wherein said analog means includes a bridge circuit having the capacitive transducer constituting a first branch thereof and a second branch adjacent to the first and comprising a reference capacitor in parallel with a capacitance connected in series with a digitally controlled attenuator, the branches opposite to the first and second branches each being provided with respective antiphase alternating signal generators, and wherein balance is achieved when a detector placed at the junction between the first and second branches delivers a null voltage after variation in the value of the attenuator under the control of the processing and control unit. ### Claim 10 (depends on 5) A measurement device according to claim 5, wherein said flow measuring device is constituted by an ultrasound flow meter. ### Claim 11 (depends on 5) A measurement device according to claim 5, wherein said capacitive transducer is placed parallel with and outside the duct in a circuit of pipework fed upstream from the capacitor transducer by the gas flowing along said duct, an insulating case ensuring that the assembly is thermally isolated so as to ensure that the capacitive transducer is under thermodynamic conditions identical to those in the gas, and in particular identical temperature conditions. ### Claim 12 (depends on 5) A measurement device according to claim 5, wherein said capacitive transducer is placed in parallel inside the duct and has the gas flowing along said duct flowing therethrough as conveyed by pipework fed upstream from the capacitive transducer. ### Claim 13 (depends on 5) A measurement device according to claim 5, wherein the capacitive transducer is placed in an enclosure placed inside the duct and filled with the gas flowing along the duct, but as delivered by pipework fed upstream from the capacitive transducer.