Accession Number : AD0749999

Title :   On a Procedure for Analyzing Certain Problems of Diffusion Theory.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF MATHEMATICS

Personal Author(s) : Levine,Harold

Report Date : 01 OCT 1972

Pagination or Media Count : 30

Abstract : A theoretical procedure is described for resolving initial-boundary value problems relative to partial differential equations of the diffusion type in cases of axial symmetry. This entails a single integral transformation or series expansion with Bessel functions depending on the radial coordinate and uses a full solution of the reduced form of the diffusion equation involving the axial coordinate and the time. Applications are made to problems of heat conduction, electrical conductivity and viscous fluid motion. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, DIFFUSION), BOUNDARY VALUE PROBLEMS, BOUNDARY VALUE PROBLEMS, INTEGRAL TRANSFORMS, COMPLEX VARIABLES, CONDUCTION(HEAT TRANSFER), ELECTRICAL CONDUCTIVITY, FLUID FLOW, BESSEL FUNCTIONS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE