To determine The velocity and pressure of the water at point A . Explanation Given: The diameter of the pipe A ( d A ) is 30 mm . The flow rate in the ( Q ) pipe 0.002 m 3 /s . The diameter of the nozzle B ( d B ) is 10 mm . Calculation: The following assumptions are made in the problem. The flow is steady and water is incompressible fluid. Since the point B is open to atmosphere, the pressure at point B ( p B ) is zero. The datum line is passing through the point A and B so the datum level at A and B ( z A = z B = z ) . Calculate the velocity at point A ( V A ) using the continuity equation. Q A = V A ( π 4 d A 2 ) 0.002 m 3 /s = V A ( π 4 ( 30 mm ) 2 ) 0.002 m 3 /s = V A ( π 4 ( 30 mm × 1 m 1000 mm ) 2 ) V A = 2.829 m/s Thus, the velocity at point A ( v A ) is 2.829 m/s _ . Calculate the velocity at point A ( V A ) using the continuity equation. Q A = V A ( π 4 d A 2 ) 0.002 m 3 /s = V A ( π 4 ( 30 mm ) 2 ) 0.002 m 3 /s = V A ( π 4 ( 30 mm × 1 m 1000 mm ) 2 ) V A = 2

2nd Edition

ISBN: 9780134649290

Author: Russell C. Hibbeler

Publisher: PEARSON

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Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

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Chapter 5, Problem 8P

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The velocity and pressure of the water at point A.

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