AN EXTENSION OF PRESENT NUMERICAL SOLUTIONS FOR TRANSIENT-HEAT CONDUCTION.

Abstract

A fourth-order technique for the numerical solution of transient heat-transfer equations involving conduction, convection, and radiation is presented. Approximating parabolas and Taylor series expansions are methods that are employed to facilitate the use of fourth-order finitedifference equations and Runge-Kutta techniques. The properties of the solutions are derived by graphic comparison with a reference case: Laplace transform-step-function solution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1964
Accession Number
AD0431791

Entities

People

  • W. Richard Compton

Organizations

  • Naval Air Weapons Station China Lake

Tags

DTIC Thesaurus Topics

  • Convection
  • Energy Transfer
  • Equations
  • Geometric Forms
  • Geometry
  • Heat Transfer
  • Lines (Geometry)
  • Mathematical Analysis
  • Mathematics
  • Parabolas
  • Radiation
  • Step Functions

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)