New Finite-Difference Technique for Solution of the Heat-Conduction Equation, Especially Near Surfaces with Convective Heat Transfer

Abstract

Finite-difference methods have come into wide use for solving special problems including transient-heat conduction. Dusinberre has ably presented the possibilities of finite-difference methods. The success of most such methods depends on the existence of a certain degree of uniformity of behavior of the temperature over the finite intervals of both space and time selected for the computation process. In some cases, however, this required uniformity constitutes a handicap since temperatures are changing so rapidly that inconveniently short time intervals have to be chosen. This paper represents an effort to develop a finite-difference method free from the foregoing defect.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1956
Accession Number
ADA284484

Entities

People

  • H. G. Elrod Jr.

Organizations

  • Columbia University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Accuracy
  • Coefficients
  • Computations
  • Difference Equations
  • Differential Equations
  • Equations
  • Heat Balance
  • Heat Energy
  • Heat Transfer
  • Heat Transfer Coefficients
  • Linear Differential Equations
  • Mathematical Analysis
  • New York
  • Numerical Analysis
  • Temperature Gradients
  • Thermal Conductivity
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design
  • Thermal Physics or Thermal Science.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster