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 Department of Applied Biology and Chemical Technology |
Pages: | iii, 39 leaves : ill. ; 30 cm |
Language: | English |
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. |
Rights: | All rights reserved |
Access: | restricted access |
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b14369746.pdf | For All Users (off-campus access for PolyU Staff & Students only) | 1.74 MB | Adobe PDF | View/Open |
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