Mass flow rate measurement method, thermal mass flow meter using said method, and thermal mass flow controller using said thermal mass flow meter
In a capillary heating type thermal type mass flow meter comprising a sensor configured to detect temperature and pressure of a fluid and a correction means configured to correct a mass flow rate based on said temperature and said pressure, change rates of the mass flow rate of the fluid with respect to temperature and pressure have been previously acquired, and the mass flow rate is corrected based on said temperature and said pressure as well as these change rates. Thereby, the mass flow rate can be measured accurately and simply even when the temperature and/or pressure of the fluid, whose mass flow rate is to be measured, change.
1. A mass flow rate measurement method in a thermal mass flow meter comprising a flow sensor configured to output an output signal corresponding to a mass flow rate of a fluid, the method comprising:
obtaining an actual measured signal intensity S from an output signal of a flow sensor of the thermal mass flow sensor;
calculating an actual measured mass flow rate F m of said fluid based on the actual measured signal intensity S, which is an intensity of said output signal;
sensing a temperature T of said fluid with a temperature sensor of the thermal mass flow meter;
detecting a pressure P of said fluid with a pressure sensor of the thermal mass flow meter;
calculating a corrected mass flow rate F c by correcting said actual measured mass flow rate F m based on said temperature T and said pressure P;
accessing a data storage device on the thermal mass flow meter to obtain:
a temperature coefficient α which is a partial differential coefficient of said actual measured mass flow rate F m of said fluid with respect to temperature, and
a pressure coefficient β which is a partial differential coefficient of said actual measured mass flow rate F m of said fluid with respect to pressure,
a pressure coefficient α′ which is a partial differential coefficient of said temperature coefficient α with respect to pressure, and
a temperature coefficient β′ which is a partial differential coefficient of said pressure coefficient β with respect to temperature, and
calculating said corrected mass flow rate F c by correcting said actual measured mass flow rate F m according to the following formula:
F c =F m (1+α×(1+α′×Δ P )×Δ T +β×(1+β′×Δ T )×Δ P ),
based on a temperature deviation ΔT which is a deviation between temperature T 0 at the time of calibration of the mass flow meter and said temperature T, a pressure deviation ΔP which is a deviation between pressure P 0 at the time of calibration of the mass flow meter and said pressure P, said temperature coefficient α, said pressure coefficient β, said pressure coefficient α′ and said temperature coefficient β′; and
providing said corrected mass flow rate F c as an output of the thermal mass flow meter.
2. A thermal mass flow meter comprising:
a flow sensor configured to output an output signal corresponding to a mass flow rate of a fluid, and the flow sensor is configured to measure an actual measured mass flow rate F m of said fluid based on an actual measured signal intensity S, which is an intensity of said output signal;
a temperature sensor configured to detect a temperature T of said fluid,
a pressure sensor configured to detect a pressure P of said fluid, and
a correction means configured to calculate a corrected mass flow rate F c by correcting said actual measured mass flow rate F m based on said temperature T and said pressure P, the correction means including:
a data storage device configured to store:
a temperature coefficient α, which is a partial differential coefficient of said actual measured mass flow rate F m of said fluid with respect to temperature; and
a pressure coefficient β which is a partial differential coefficient of said actual measured mass flow rate F m of said fluid with respect to pressure;
a pressure coefficient α′ which is a partial differential coefficient of said temperature coefficient α with respect to pressure, and
a temperature coefficient β′ which is a partial differential coefficient of said pressure coefficient β with respect to temperature, and
said correction means is configured to calculate said corrected mass flow rate F c by correcting said actual measured mass flow rate F m according to the following formula;
F c =F m (1+α×(1+α′×Δ P )×Δ T +β×(1+β′×Δ T )×Δ P ),
based on a temperature deviation ΔT which is a deviation between temperature T 0 at the time of calibration of the mass flow meter and said temperature T, a pressure deviation ΔP which is a deviation between pressure P 0 at the time of calibration of the mass flow meter and said pressure P, said temperature coefficient α, said pressure coefficient β, said pressure coefficient α′ and said temperature coefficient β′; and
said correction means is configured to provide said corrected mass flow rate F c as an output of the thermal mass flow meter.
3. A thermal mass flow controller comprising;
a flow sensor configured to output an output signal corresponding to a mass flow rate of a fluid through a passage, and the flow sensor is configured to measure an actual measured mass flow rate F m of said fluid based on an actual measured signal intensity S, which is an intensity of said output signal;
a temperature sensor configured to detect a temperature T of said fluid,
a pressure sensor configured to detect a pressure P of said fluid, and
a correction means configured to calculate a corrected mass flow rate F c by correcting said actual measured mass flow rate F m based on said temperature T and said pressure P, the correction means including:
a data storage device configured to store:
a temperature coefficient α, which is a partial differential coefficient of said actual measured mass flow rate F m of said fluid with respect to temperature;
a pressure coefficient β which is a partial differential coefficient of said actual measured mass flow rate F m of said fluid with respect to pressure;
a pressure coefficient α′ which is a partial differential coefficient of said temperature coefficient α with respect to pressure, and
a temperature coefficient β′ which is a partial differential coefficient of said pressure coefficient β with respect to temperature, and
said correction means is configured to calculate said corrected mass flow rate F c by correcting said actual measured mass flow rate F m according to the following formula;
F c =F m (1+α×(1+α′×Δ P )×Δ T +β×(1+β′×Δ T )×Δ P ),
based on a temperature deviation ΔT which is a deviation between temperature T 0 at the time of calibration of the mass flow meter and said temperature T, a pressure deviation ΔP which is a deviation between pressure P 0 at the time of calibration of the mass flow meter and said pressure P, said temperature coefficient α, said pressure coefficient β, said pressure coefficient α′, and said temperature coefficient β′;
a flow rate adjustment means configured to adjust a flow rate of the fluid which flows through said passage, and
a control means configured to control said flow rate adjustment means, wherein:
said control means is configured to control said flow rate adjustment means based on the flow rate of said fluid calculated by said thermal type mass flow meter to bring the flow rate of said fluid close to a target value.