please show all work Water (incompressible and inviscid) at a temperature of 10

Question

please show all work

Water (incompressible and inviscid) at a temperature of 10 degree 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

P gradient=Ma/Ax=density*vol.*acc./area=1*.157*0.04/0.0314*2.5 =0.2634 pa/m

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