derive Hagen-poiseuille equation from the friction factor given.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter10: Heat Exchangers
Section: Chapter Questions
Problem 10.45P
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a. derive Hagen-poiseuille equation from the friction factor given. 

An example of shell-and-tube exchanger consists of a bundle of tubes contained in a cylindrical shell is
shown in Figure 1. The tubes may be permanently positioned inside the shell (fixed tube-sheet exchanger)
or may be removable for ease of cleaning and replacement (floating-head or U-tube exchanger). As a
chemical engineer, you are required to design the tube of heat exchanger for your company. The type of
the tube to be designed is cylindrical tubes.
Shell
Tube
outlet
inlet
Shell
outlet
Tube
inlet
Figure 1: Schematic illustration of a shell-and-tube heat exchanger with one shell pass and two
tube passes
You may use friction factor equation given in Equation 1 as a starting point.
f = (1.58ln(Rep) – 3.28)-2
Equation 1
Where;
p<v > D
Rep
Transcribed Image Text:An example of shell-and-tube exchanger consists of a bundle of tubes contained in a cylindrical shell is shown in Figure 1. The tubes may be permanently positioned inside the shell (fixed tube-sheet exchanger) or may be removable for ease of cleaning and replacement (floating-head or U-tube exchanger). As a chemical engineer, you are required to design the tube of heat exchanger for your company. The type of the tube to be designed is cylindrical tubes. Shell Tube outlet inlet Shell outlet Tube inlet Figure 1: Schematic illustration of a shell-and-tube heat exchanger with one shell pass and two tube passes You may use friction factor equation given in Equation 1 as a starting point. f = (1.58ln(Rep) – 3.28)-2 Equation 1 Where; p<v > D Rep
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