please use fluid mechanics equation in solving this problem !!!thank you Water (

Question

please use fluid mechanics equation in solving this problem !!!thank you

Water (incompressible and inviscid) at a temperature of 10 C flows into a horizontal round pipe through the porous surface area as shown on Figure 5. The entrance velocity v0 is radial toward the center of the porous pipe. The porous pipe is closed at the left end. The porous pipe is connected to a solid pipe which eventually discharges to the atmosphere. The diameter of the porous pipe is D = 20 cm and the length of the porous pipe is L = 5 m. The steady state flow rate is Q = 0.04 m3/s. Determine the value of the pressure gradient at X = 2.5 m. Assume that the velocity is uniform in the x direction. Figure 5. Water flow into a porous pipe

Explanation / Answer

the pressure is

P = p x g x h

where p is density of water(1000 kg/m^3),g = 9.8 m/s^2 and h is height of water

the pressure changes as the height changes

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