Coupled Convective and Conductive Heat Transfer by Finite Element Methods.

Abstract

The finite element method was applied to a class of initial-boundary-value problems that are commonly referred to as diffusion-convection problems. Coupled convective and conductive heat transfer with prescribed fluid velocities were studied using a Galerkin procedure in concert with an isoparametric finite element formulation that is applicable to both solid and fluid regions. Several approaches for treating the unsymmetric convective terms in the governing matrix equation were investigated; the most promising appears to be a polar decomposition and initial flux approach. A number of combined convection-conduction problems of heat transfer were investigated numerically in order to illustrate accuracy of the method and to demonstrate flaws in current analytical practice. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
AD0771930

Entities

People

  • Michael B. Hsu
  • Robert E. Nickell

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Boundary Value Problems
  • Convection
  • Decomposition
  • Diffusion
  • Equations
  • Finite Element Analysis
  • Heat Transfer
  • Mathematics

Readers

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