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APPLICATION OF NUMERICAL INVERSION OF THE LAPLACE TRANSFORM TO THE INVERSE PROBLEM IN TRANSIENT HEAT CONDUCTION.
NAVAL POSTGRADUATE SCHOOL MONTEREY CA
The direct problem in transient heat conduction requires the determination of conditions at an interior location when conditions are known at the boundaries of a solid. Conversely, the inverse problem requires the determination of conditions at the boundaries of a solid when conditions are known at an interior location. Consequently special methods are required in the solution of the inverse problem. A new method, numerical inversion of the Laplace transform, is used to solve this complex problem. Application of this numerical technique of the semi-infinite solid, long cylinder, and sphere is made, and the accuracy of solution is discussed. This method of solution provides the engineer with a simple, powerful tool that can be used in the determination of heat transfer phenomena in a solid. Author