Explanation Given information: Inner diameter of annular cast iron pipe is 6 i n Length of the pipe is 200 f t Average velocity is 6 f t / s Pressure drop is 280 l b f / f t 2 The pressure drop Δ P is defined as below, Δ P = f L D h ( ρ V 2 2 ) In the above equation, f - Friction factor L - Length of duct D h - Hydraulic diameter V - Velocity of the flow ρ - Density of the fluid The hydraulic diameter is defined as, D h = 2 ( a − b ) a - Outer radius b - Inner radius The Reynolds’s number is defined as, Re D h = ρ V D h μ μ - Dynamic viscosity Assume, 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: Assume, f = 0.02 Evaluate outer diameter, Δ P = f L D h ( ρ V 2 2 ) Substitute for known values, 280 l b f / f t 2 = ( 0.02 ) ( 200 f t ) 2 ( a − 3 12 f t ) ( ( 1.94 s l u g / f t 3 ) ( 6 f t / s ) 2 2 ) Solve to find outer diameter, a = 0.5 f t = 6 i n Calculate hydraulic diameter, D h = 2 ( a − b ) = 2 ( 0.5 f t − 3 12 f t ) = 0.5 f t Calculate the Reynolds’s number, Re D h = ρ V D h μ = ( 1.94 s l u g / f t 3 ) ( 6 f t / s ) ( 0 To determine (b) The way the cross-section areas compare and the reason.

8th Edition

ISBN: 9780073398273

Author: Frank M. White

Publisher: McGraw-Hill Education

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Chapter 6, Problem 6.93P

To determine

(a)

The outer diameter of annular cast iron pipe.

To determine

(b)

The way the cross-section areas compare and the reason.

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Chapter 6, Problem 6.92P

Chapter 6, Problem 6.94P

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(a) The outer diameter of annular cast iron pipe.