Accession Number : AD0835623

Title :   APPLICATION OF NUMERICAL INVERSION OF THE LAPLACE TRANSFORM TO THE INVERSE PROBLEM IN TRANSIENT HEAT CONDUCTION.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s) : Wendt, Terrill Jay

Report Date : MAR 1968

Pagination or Media Count : 118

Abstract : 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)

Descriptors :   (*CONDUCTION(HEAT TRANSFER), SOLIDS), (*INTEGRAL TRANSFORMS, CONDUCTION(HEAT TRANSFER)), CYLINDRICAL BODIES, SPHERES, TEMPERATURE, SURFACE PROPERTIES, NUMERICAL ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, COMPUTER PROGRAMS, THEOREMS, THESES.

Subject Categories : Numerical Mathematics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE