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ISSN Online: 2377-424X

ISBN Print: 0-89116-299-2

International Heat Transfer Conference 7
September, 6-10, 1982, Munich, Germany

TEMPERATURES IN SEMI-INFINITE BODY HEATED BY CONSTANT HEAT FLUX OVER HALF SPACE

Get access (open in a dialog) DOI: 10.1615/IHTC7.630
pages 21-26

要約

This paper presents the analytical solution for the transient temperature distribution in a semi-infinite body that is heated by a constant flux over half the surface and is insulated over the other half. The solution is a basic one in heat conduction and has a number of direct applications. It is also important because it is a "building block" that can be utilized in several indirect ways. One way is to generate (using the concepts of sources and sinks) solutions for infinite and finite plate geometries with insulated or isothermal surfaces opposite or normal to the heated surface. Some of these applications are discussed. Another use for the basic solution -and others that can be built from it - is as a kernel in the transient surface element method.
The general solution is given in terms of an integral which is shown to be conveniently and efficiently evaluated by two series expressions. Results displayed as tables and figures and examples of the use of the solution are also provided.