On a Procedure for Analyzing Certain Problems of Diffusion Theory.

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)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1972
Accession Number
AD0749999

Entities

People

  • Harold Levine

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Bessel Functions
  • Boundary Value Problems
  • Conductivity
  • Differential Equations
  • Diffusion
  • Diffusion Theory
  • Electrical Conductivity
  • Equations
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics