Question

Water flows through a valve with inlet and outlet velocities of 3 m/s. If the loss coefficient of the valve is 2.0, and the specific weight of water is 9800 N/m3, the pressure drop across the valve is most nearly:

Answer 1

Answer:

The value is $\delta P = 9000 \ Pa$

Explanation:

From the question we are told that

    The inlet and outlet velocity is $v = 3 \ m/s$

     The  loss coefficient is  $k = 2$

      Th specific weight of water  is  $w = 9800 \ N/m^3$

Generally the pressure drop across the valve is mathematically represented as

       $\delta P = \frac{1}{2} * k * \rho * v^2$

Here  $\rho$ is the density which is mathematically represented as

      $\rho = \frac{w}{g}$

=>    $\rho = \frac{9800}{9.8}$

=>   $\rho = 1000 \ kg/m^3$

So

    $\delta P = \frac{1}{2} * 2* 1000 * 3^2$

    $\delta P = 9000 \ Pa$