Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (1): 69-74.doi: https://doi.org/10.1007/s10483-011-1394-6

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Analytical solution for laminar flow through leaky tube

 M.GORJI1, M.ALIPANAH1, M.SHATERI1, E.FARNAD2     

  1. 1. Department of Mechanical Engineering, Babol University of Technology, P. O. Box 484, Babol, Mazandaran, Iran;
    2. Water and Westwater Company, Sari 4816819318, Mazandaran, Iran
  • 收稿日期:2009-12-14 修回日期:2010-10-26 出版日期:2011-01-10 发布日期:2011-01-01

Analytical solution for laminar flow through leaky tube

 M.GORJI1, M.ALIPANAH1, M.SHATERI1, E.FARNAD2   

  1. 1. Department of Mechanical Engineering, Babol University of Technology, P. O. Box 484, Babol, Mazandaran, Iran;
    2. Water and Westwater Company, Sari 4816819318, Mazandaran, Iran
  • Received:2009-12-14 Revised:2010-10-26 Online:2011-01-10 Published:2011-01-01

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

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

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