Question

Water at 200c flows through the 20-mm-diameter galvanized iron pipe such that it discharges at c at 0.003 m³/s. determine the required pressure at:

include the minor losses of the elbows (long radius 900, threaded) and the fully opened gate valve.

Answer 1

The required pressure at the small end of the pipe is 0.

Step-by-step explanation:

To determine the required pressure at the small end of the pipe, we can use Bernoulli's equation. Bernoulli's equation states that the sum of the pressure energy, kinetic energy, and potential energy per unit volume of a fluid remains constant along a streamline. In this case, we can assume that the velocity of the water at the large end of the pipe is negligible compared to the velocity at the small end of the pipe, so we can neglect the kinetic energy term.

Using the equation:

P + ρgh = constant

where P is the pressure, ρ is the density of water, g is the acceleration due to gravity, and h is the height difference between the small and large ends of the pipe.

Substituting the given values, we have:

1. ρgh + P_small = ρgh + P_large
2. P_small = P_large

Since the pressure at the large end is atmospheric pressure (which we can assume to be 0), the required pressure at the small end of the pipe is also 0.