Analytical solution for laminar flow through leaky tube  

作　　者：M.GORJI M.ALIPANAH M.SHATERI E.FARNAD 

机构地区：[1]Department of Mechanical Engineering,Babol University of Technology [2]Water and Westwater Company

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第1期69-74,共6页应用数学和力学（英文版）

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 compo- nents, 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.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 compo- nents, 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.

关 键 词：leaky tube PERMEABILITY mass transfer laminar flow analytical solution 

分 类 号：O35[理学—流体力学]