An Analytical Solution for Laminar Flow Through a Leaky Tube

Mofid Gorjid; Morteza Alipanah; Majid Shateri; Elham Farnad

doi:10.3879/j.issn.1000-0887.2011.01.007

Volume 32 Issue 1

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Mofid Gorjid, Morteza Alipanah, Majid Shateri, Elham Farnad. An Analytical Solution for Laminar Flow Through a Leaky Tube[J]. Applied Mathematics and Mechanics, 2011, 32(1): 66-71. doi: 10.3879/j.issn.1000-0887.2011.01.007

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An Analytical Solution for Laminar Flow Through a Leaky Tube

doi: 10.3879/j.issn.1000-0887.2011.01.007

1.
Department of Mechanical Engineering, Babol University of Technology, P. O. Box 484, Babol, Mazandaran, I. R. Iran;

Received Date: 2010-08-14
Rev Recd Date: 2010-11-27
Publish Date: 2011-01-15

Abstract

Abstract

The laminar flow through a leaky tube was investigated,and the momentum and conservation of energy equations were solved analytically.Using the Hagen-Poiseuille velocity profile and defining unknown functions for the axial and radial velocity components,pressure and mass transfer equations were obtained and their profiles were plotted according to different parameters.The results indicate that the axial velocity,the radial velocity,mass transfer parameter and pressure in the tube decrease as the fluid moves along the tube.
- leaky tube,
- permeability,
- mass transfer,
- laminar flow,
- analytical solution

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References(10)

References

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