10.6 A machined entrance cone venturi is to be used to measure the airflow rate in a 4-in-ID pipe. The minimum area of the meter is 3 in. The pressure drop across the venturi is 1 psi. Calculate the volumetric flow [in standard cubic feet per minute (SCFM)] and mass flow rate (lbm/min) of air. The condition of air upstream of the venturi is 100 psia and 70°F.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Only question 10.6
Problems 383
10.4 Estimate the uncertainty of flow measurement in Problem 10.2 if the uncertainty in dis-
charge coefficient and pressure measurement are estimated to be 1% and 1.5%, respec-
tively. The uncertainties in other parameters are considered to be negligible.
10.5 A machined entrance cone venturi is to be used to measure the airflow rate in a 10-cm-ID
pipe. The minimum area of the meter is 7.5 cm. The pressure drop across the venturi is 10 kPa.
Calculate the volumetric flow [in standard cubic meter per minute (SCMM)] and mass flow
rate (kg/min) of air. The condition of air upstream of the venturi is 700 kPa and 25°C.
10.6 A machined entrance cone venturi is to be used to measure the airflow rate in a 4-in-ID
pipe. The minimum area of the meter is 3 in. The pressure drop across the venturi is 1 psi.
Calculate the volumetric flow [in standard cubic feet per minute (SCFM)] and mass flow
rate (lbm/min) of air. The condition of air upstream of the venturi is 100 psia and 70°F.
10.7 A critical flow nozzle with a throat diameter of 5 mm is used to measure the flow of air. Air
pressure and temperature upstream of the nozzle are 7 atm (gage) and 20°C. Calculate the
mass flow rate and the volumetric flow rate (in SCMM) of air. At what maximum pressure
downstream of the nozzle will this calculation be acceptable?
10.8 A critical flow nozzle with a throat diameter of 0.3 in. is used to measure the flow of air.
Air pressure and temperature upstream of the nozzle are 7 atm (gage) and 70°F. Calculate
the mass flow rate and the volumetric flow rate (in SCFM) of air. At what maximum pres-
sure downstream of the nozzle will this calculation be acceptable?
10.9 A critical flow nozzle with throat diameter of 2 mm is used to measure hydrogen flow rate
to an atmospheric pressure burner. The pressure of hydrogen can be regulated. The
upstream temperature is 20°C. The supply pipe diameter has a 1 cm inside diameter.
Assume that the discharge coefficient is 1.0. For hydrogen the specific heat ratio is 1.40.
(a) Calculate the minimum pressure upstream of the nozzle for the flow to remain criti-
cal in the nozzle.
(b) Calculate the mass flow rate and the volumetric flow (in SCMM) of hydrogen if the
pressure upstream of the nozzle is 3 atm (gage). Assume that the discharge coeffi-
cient, C, is unity.
10.10 A critical flow nozzle is to be used to measure the airflow rate into a variable pressure
chamber. The air in the line is at 8 atm, 20°C.
(a) Determine the chamber pressure above which the critical flow nozzle cannot be used
accurately for airflow measurement.
(b) Determine the diameter of the nozzle for a flow rate of 100 standard cubic
per
minute.
(c) Calculate the mass flow rate of air for this condition. Assume that the discharge coef-
ficient, C, is unity.
10.11 A
critical flow nozzle
is used to measure the mass flow rate of air
(y = 1.4, R =287 J/kg-K). The pipe diameter is 3 cm and the nozzle diameter is 1 cm. The
pressure downstream of the nozzle is 100 kPa (abs) and the pressure in the pipe upstream
of the nozzle is 500 kPa (abs). The upstream temperature is 400 K. Estimate the mass flow
rate assuming that the discharge coefficient, C, is unity.
10.12 A critical flow nozzle is used to measure the mass flow rate of air (y = 1.4,
R = 53.34 Btu/lbm-R). The pipe diameter is 1 in. and the nozzle diameter is 0.3 in. The pres-
eam of the nozzle is 14.70 psi (abs) and the pressure in the pipe upstream of the
i (abs). Th
am temperature is 250°F. Estimate the mass flow rate, assum-
C is unity.
sure dow
ne
schar
Transcribed Image Text:Problems 383 10.4 Estimate the uncertainty of flow measurement in Problem 10.2 if the uncertainty in dis- charge coefficient and pressure measurement are estimated to be 1% and 1.5%, respec- tively. The uncertainties in other parameters are considered to be negligible. 10.5 A machined entrance cone venturi is to be used to measure the airflow rate in a 10-cm-ID pipe. The minimum area of the meter is 7.5 cm. The pressure drop across the venturi is 10 kPa. Calculate the volumetric flow [in standard cubic meter per minute (SCMM)] and mass flow rate (kg/min) of air. The condition of air upstream of the venturi is 700 kPa and 25°C. 10.6 A machined entrance cone venturi is to be used to measure the airflow rate in a 4-in-ID pipe. The minimum area of the meter is 3 in. The pressure drop across the venturi is 1 psi. Calculate the volumetric flow [in standard cubic feet per minute (SCFM)] and mass flow rate (lbm/min) of air. The condition of air upstream of the venturi is 100 psia and 70°F. 10.7 A critical flow nozzle with a throat diameter of 5 mm is used to measure the flow of air. Air pressure and temperature upstream of the nozzle are 7 atm (gage) and 20°C. Calculate the mass flow rate and the volumetric flow rate (in SCMM) of air. At what maximum pressure downstream of the nozzle will this calculation be acceptable? 10.8 A critical flow nozzle with a throat diameter of 0.3 in. is used to measure the flow of air. Air pressure and temperature upstream of the nozzle are 7 atm (gage) and 70°F. Calculate the mass flow rate and the volumetric flow rate (in SCFM) of air. At what maximum pres- sure downstream of the nozzle will this calculation be acceptable? 10.9 A critical flow nozzle with throat diameter of 2 mm is used to measure hydrogen flow rate to an atmospheric pressure burner. The pressure of hydrogen can be regulated. The upstream temperature is 20°C. The supply pipe diameter has a 1 cm inside diameter. Assume that the discharge coefficient is 1.0. For hydrogen the specific heat ratio is 1.40. (a) Calculate the minimum pressure upstream of the nozzle for the flow to remain criti- cal in the nozzle. (b) Calculate the mass flow rate and the volumetric flow (in SCMM) of hydrogen if the pressure upstream of the nozzle is 3 atm (gage). Assume that the discharge coeffi- cient, C, is unity. 10.10 A critical flow nozzle is to be used to measure the airflow rate into a variable pressure chamber. The air in the line is at 8 atm, 20°C. (a) Determine the chamber pressure above which the critical flow nozzle cannot be used accurately for airflow measurement. (b) Determine the diameter of the nozzle for a flow rate of 100 standard cubic per minute. (c) Calculate the mass flow rate of air for this condition. Assume that the discharge coef- ficient, C, is unity. 10.11 A critical flow nozzle is used to measure the mass flow rate of air (y = 1.4, R =287 J/kg-K). The pipe diameter is 3 cm and the nozzle diameter is 1 cm. The pressure downstream of the nozzle is 100 kPa (abs) and the pressure in the pipe upstream of the nozzle is 500 kPa (abs). The upstream temperature is 400 K. Estimate the mass flow rate assuming that the discharge coefficient, C, is unity. 10.12 A critical flow nozzle is used to measure the mass flow rate of air (y = 1.4, R = 53.34 Btu/lbm-R). The pipe diameter is 1 in. and the nozzle diameter is 0.3 in. The pres- eam of the nozzle is 14.70 psi (abs) and the pressure in the pipe upstream of the i (abs). Th am temperature is 250°F. Estimate the mass flow rate, assum- C is unity. sure dow ne schar
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