Accession Number : AD0756666

Title :   Potential Induced by a Point Source of Current inside an Infinite Cylindrical Cell,

Corporate Author : CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Peskoff,A. ; Eisenberg,R. S. ; Cole,J. D.

Report Date : JAN 1973

Pagination or Media Count : 75

Abstract : The potential is determined everywhere inside an infinitely long cylindrical cell, for a point source of current at an arbitrary location in the cell interior. The mathematical techniques used are applicable to a wide variety of physical problems with mixed boundary conditions in cylindrical geometry in which a small parameter appears in the boundary condition. The model for the cell consists of a cylinder of radius a, with an interior of conductivity (sigma sub i), surrounded by a thin membrane of conductivity (sigma sub m) and thickness delta. The cell is bathed in a highly conducting external medium which maintains the outer membrane surface at zero potential. The potential in terms of the small parameter epsilon = (sigma sub m)a/(sigma sub i) delta. One (inner or near-field) expansion is valid in a region including the point source, and a second (outer or far-field) expansion is valid in a region away from the source. (Author Modified Abstract)

Descriptors :   (*POTENTIAL THEORY, *PARTIAL DIFFERENTIAL EQUATIONS), BESSEL FUNCTIONS, PERTURBATION THEORY, BOUNDARY VALUE PROBLEMS, CYLINDRICAL BODIES, VOLTAGE, MEMBRANES, NUMERICAL ANALYSIS, NUMERICAL INTEGRATION, ELECTROSTATICS

Subject Categories : Theoretical Mathematics
      Electricity and Magnetism

Distribution Statement : APPROVED FOR PUBLIC RELEASE