A RECURSIVE METHOD FOR DETERMINING TRANSIENT TEMPERATURE DISTRIBUTIONS IN A HOLLOW CYLINDER WITH NONSTEADY BOUNDARY CONDITIONS

Abstract

Recursion equations are developed for solution of transient temperature distributions in an infinite hollow cylinder with nonsteady boundary conditions. The solution is shown to be applicable to any imposed boundary condition and is also shown to be able to handle the special case of the solid cylinder. A computer program is written and applied to two examples. A comparison of the numerical results with classical exact solutions reveals close agreement between the two types of solutions for the particular cases considered.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1969
Accession Number
AD0690494

Entities

People

  • Percy B. Carter Jr.

Organizations

  • Arnold Engineering Development Complex

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Computer Programs
  • Computers
  • Convergence
  • Differential Equations
  • Energy
  • Engineering
  • Equations
  • Heat Transfer
  • Heat Transfer Coefficients
  • Specific Heat
  • Surface Temperature
  • Temperature Gradients
  • Thermal Conductivity
  • Thermal Diffusivity
  • Thermodynamics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.