Calculation of steam flow rate during steam injection process
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When the saturated steam inlet pressure is P=0.478 Mpa and the outlet pressure is p=0.1 MPa, with a pipe inner diameter of 80 mm and a pipe length of 15 m, what is the steam flow rate in the pipe?
To calculate the steam flow rate, we can use the following formula: \ Where, – \( Q \) is the flow rate (in m³/s), – \( D \) is the pipe diameter (in m), and – \( v \) is the velocity of the steam (in m/s). The velocity of the steam can be approximated using the ideal gas law: \ Here, – \( R \) is the gas constant, which is approximately \( 461.5 \) J/kg·K for water vapor, and – \( T \) is the absolute temperature (in K). For saturated steam at 0.478 MPa, the temperature is approximately 151°C or 424 K, according to steam tables. - \(P) is the inlet pressure, which is 0.478 MPa. First, calculate the flow velocity: \ Then calculate the flow rate: - Convert the pipe diameter to meters: \( D = 0.08 \text{ m} \) - Calculate the flow rate: \ Therefore, the steam flow rate in the pipe is approximately 0.002083 m³/s. .
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