To determine To compute: the proper pipe size in inches Explanation Given information: The power that the fluid can deliver to the pump is 80 h p The flow rate is 3 f t 3 / s The power of the pump can be defined as below, P o w e r = ρ g Q h p η In above equation, ρ - Density of the fluid Q - Volumetric flow rate h p - Head increase across the pump The volumetric flow rate Q can be defined as below, Q = V A In above equation, V - Velocity of the flow A -Area Assume that the water at 20 ° C will have, ρ = 1.94 s l u g / f t 3 μ = 2.09 × 10 − 5 s l u g / f t s Calculation: First of all, we need to find the head increase across the pump, therefore 1 h p = 550 f t l b f / s P o w e r = ρ g Q h p η 44000 f t l b f / s = 62.4 l b f / f t 3 3 f t 3 / s h p 0.75 h p = 176.28 f t The energy equation can be defined as, p 1 ρ g + V 1 2 2 g + z 1 = p 2 ρ g + V 2 2 2 g + z 2 + h f + ∑ h m − h p We know that, p 1 = p 2 and V 1 = V 2 ≈ 0 , therefore the above equation can be rewritten as, h p = z 2 − z 1 + h f But we know, h f = f L D V 2 2 g Therefore, h p = z 2 − z 1 + h f = Δ z + f L D V 2 2 g Assume f = 0

8th Edition

ISBN: 9780073398273

Author: Frank M. White

Publisher: McGraw-Hill Education

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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 6, Problem 6.69P

To determine

To compute: the proper pipe size in inches

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