Computer Aided Determination Of Closed
Form Solutions For Linear Transient Heat
Conduction Problems In Inhomogeneous
Bodies
Author(s)
W. Heidemann, H. Mandel & E. Hahne
Abstract
Computer aided determination of closed
form solutions for linear transient heat
conduction problems in inhomogeneous
bodies
W. Heidemann, H. Mandel & E. Hahne
Institute of Thermodynamics and Thermal
Engineering, University of Stuttgart, D-70550
Stuttgart, Germany
ABSTRACT
In the present work the Kantorovich method [1], [2] is used to derive an approximate
closed-form solution for heat conduction problems in multi-layered solids. The solution
procedure is presented in a form suitable for programming. The accuracy of the method
is investigated using a numerical example. By means of temperature field equations cal-
culated for the example, the possibilities of simple direct use and visualisation are shown.
INTRODUCTION
The determination of transient temperature and heat flux fields in multi-layered bodies
is important for calculating and optimizing the performance of technical processes. The
mathematical description requires a set of partial differential
Keywords
Related Book
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