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28 August, 20:42

A machine operates using air flow under steady conditions with the following inlet and exit flow parameters. At the inlet, the pressure is 1.75 MPa at a temperature of 300 K. The inlet velocity is 25 m/s. The inlet diameter is 20 cm. At the outlet, the pressure is decreased to 55 kPa at a temperature of 500 K. The outlet velocity is 100 m/s. The elevation increase between the inlet and outlet is 100 m. The machine includes a turbine operating at 5 kW

Determine mass flow rate through the machine.

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  1. 28 August, 20:54
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    Mass flow rate = 15.96kg/s

    Explanation:

    From

    P1V1=mRT1

    V1=RT1/P1

    V1=0.0492m³/kg

    M=A (U) / V1

    Where u is the velocity

    A=πd²/4

    M=π (0.2²) / 4*25/0.0492

    M=15.96kg/s
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