Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
7th Edition
ISBN: 9780072848236
Author: Warren McCabe, Julian C. Smith, Peter Harriott
Publisher: McGraw-Hill Companies, The
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Chapter 5, Problem 5.8P
Interpretation Introduction

Interpretation: The change in pressure drop for the same flow rate and change in flow rate for the same pressure drop is to be determined.

Concept introduction: The change in pressure across a pipe due to smoothness or roughness is known as the pressure drop. The pressure drop for any type of flow is given as,

  ΔP=2fρL v ¯2D .......... (1)

The notations used here are,

  ρ = Density of the fluid

f = Fanning Friction factor

L = Length of the pipe

D = Diameter of the pipe

   v ¯ = Average velocity of the fluid around the pipe

The Reynolds number is given as,

  Re = ρ v ¯ Dμ .......... (2)

The notations used here are,

   v ¯ = Average velocity of the fluid around the pipe

D = Diameter of pipe

  μ = Viscosity of the fluid

  ρ = Density of fluid

The flow rate of the fluid is given as,

  Q=A v ¯ .......... (3)

A = Area of the pipe

  A=0.25πD2 .......... (4)

The roughness parameter is given as, kD where k is roughness of the pipe. It shows how much friction is present in the pipe and with the help of the roughness parameter, f can be calculated from the friction factor chart.

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Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:9780072848236
Author:Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:McGraw-Hill Companies, The