Steam enters a one-inlet, two-exit control volume at location (1) at 360°C, 100 bar, with a mass flow rate of 2 kg/s. The inlet pipe is roun

Question

Steam enters a one-inlet, two-exit control volume at location (1) at 360°C, 100 bar, with a mass flow rate of 2 kg/s. The inlet pipe is round with a diameter of 5.2 cm. Fifteen percent of the flow leaves through location (2) and the remainder leaves at (3). For steady-state operation, determine the inlet velocity, in m/s, and the mass flow rate at each exit, in kg/s.

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Calantha 4 years 2021-08-21T16:45:59+00:00 1 Answers 16 views 0

Answers ( )

  1. minhkhang
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    2021-08-21T16:47:31+00:00
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    Answer:

    The inlet velocity is 21.9 m/s.

    The mass flow rate at reach exit is 1.7 kg/s.

    Explanation:

    Given that,

    Mass flow rate = 2 kg/s

    Diameter of inlet pipe = 5.2 cm

    Fifteen percent of the flow leaves through location (2)  and the remainder leaves at (3)

    The mass flow rate is

    m_{2}=0.15\times2

    We need to calculate the mass flow rate at reach exit

    Using formula of mass

    m_{3}=m_{1}-m_{2}

    m_{3}=2-0.15\times2

    m_{3}=1.7\ kg/s

    We need to calculate the inlet velocity

    Using formula of velocity

    v=\dfrac{m}{\rho A}

    Put the value into the formula

    v=\dfrac{2}{42.868\times\dfrac{\pi}{4}\times(5.2\times10^{-2})^2}

    v=21.9\ m/s

    Hence, The inlet velocity is 21.9 m/s.

    The mass flow rate at reach exit is 1.7 kg/s.

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