On a heat conduction and convection channel flow

Pao Yue-kong Library Electronic Theses Database

On a heat conduction and convection channel flow

 

Author: Leung, Fat-choi
Title: On a heat conduction and convection channel flow
Degree: M.Sc.
Year: 1998
Subject: Pipe -- Fluid dynamics -- Mathematical models
Heat -- Conduction -- Mathematical models
Heat -- Convection -- Mathematical models
Hong Kong Polytechnic University -- Dissertations
Department: Multi-disciplinary Studies
Dept. of Applied Biology and Chemical Technology
Pages: iii, 39 leaves : ill. ; 30 cm
Language: English
InnoPac Record: http://library.polyu.edu.hk/record=b1436974
URI: http://theses.lib.polyu.edu.hk/handle/200/563
Abstract: It is usually not an easy matter to analytically solve a partial differential equation problem subject to certain given initial and boundary conditions. Although numerical approaches may help, the method of perturbation expansion, even in a truncated form of only two terms, provides an alternative approach and better insight to solve the problem analytically. In addition, the perturbation method usually offers a clearer physical picture to the problem. When a suitable perturbation expansion is applied to a fluid flow, boundary layers close to solid walls will be considered, if some physical quantities are expected to change rapidly. By matching the solution with the boundary conditions, a solution valid throughout the entire region can be found. The following work shows how perturbation method being applied to a real life problem: a heat conduction and convection flow, with different initial and boundary conditions.

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