A METHOD FOR SOLUTION OF CONDUCTION HEAT TRANSFER WITH NON-LINEAR HEAT GENERATION

被引：28

作者：

NA, TY

TANG, SC

机构：

[1] The University of Michigan, Darborn Campus, Dearborn, Michigan, 48128

[2] Ford Motor Company, Dearborn

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 1969年 / 49卷 / 1-2期

关键词：

D O I：

10.1002/zamm.19690490107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The equation governing the one‐dimensional heat conduction with non‐linear heat generation is transformed from a boundary value to an initial value problem by using a method of transformation recently presented by Na [2], [3]. The resulting equation is then integrated numerically by the Runge‐Kutta method. Critical values of a parameter are found which serve as a limit for the existence of steady‐state solutions. Copyright © 1969 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：45 / &