Solution of low péclet number heat transfer with viscous dissipation in the semi‐infinite axial region of a tube via functional analytic methods
作者:
Ching‐Tien Liou,
Feng‐Sheng Wang,
期刊:
Journal of the Chinese Institute of Engineers
(Taylor Available online 1986)
卷期:
Volume 9,
issue 5
页码: 497-503
ISSN:0253-3839
年代: 1986
DOI:10.1080/02533839.1986.9676917
出版商: Taylor & Francis Group
关键词: extended Graetz problem;functional analytic method;viscous dissipation
数据来源: Taylor
摘要:
A solution of the extended Graetz problem with prescribed wall heat flux and viscous dissipation in a semi‐infinite axial region of a tube is obtained by functional analytic methods. The energy equation is split into a set of partial differential equations to obtain a self‐adjoint formulism. Then, an algebraic characteristic equation of the eigenvalue problem for an arbitrary velocity profile is obtained by an approximation method inL2[0, 1]. In addition, a backward recursive formula for calculating the expansion coefficients of the solution is developed.
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