Accession Number : AD0726371

Title :   Application of the Finite-Element Method to Heat-Transfer Problems. Part II. Transient Two-Dimensional Heat Transfer with Convection and Radiation Boundary Conditions.

Descriptive Note : Technical rept. Aug 70-May 71,

Corporate Author : ARMY WEAPONS COMMAND ROCK ISLAND ILL RESEARCH DEVELOPMENT AND ENGINEERING DIRECTORATE

Personal Author(s) : Yalamanchili,Rao V. S. ; Chu,Shih-Chi

Report Date : JUN 1971

Pagination or Media Count : 75

Abstract : The transient two-dimensional heat-conduction analysis was prepared by a variational principle and finite-element synthesis. This provided for the use of arbitrary geometry, combination of orthotropic materials, and general boundary-conditions. The finite-element difference expression and the ordinary finite-difference formulas for the Laplacian term were derived. A particular finite-difference formula for the Laplacian term was chosen to bring the difference expressions of finite element, finite difference, and method of weighted residuals (Galerkin) into the same format. The stability criteria were established for all three techniques by use of the general stability, von Neumann, and Dusinberre concepts. The oscillation characteristics were derived for all three techniques. Various iteration techniques were investigated to represent nonlinear boundary-conditions (radiation). (Author)

Descriptors :   (*CONDUCTION(HEAT TRANSFER), DIFFERENCE EQUATIONS), (*GUN BARRELS, CONDUCTION(HEAT TRANSFER)), BOUNDARY VALUE PROBLEMS, PARTIAL DIFFERENTIAL EQUATIONS, THERMAL RADIATION, NONLINEAR DIFFERENTIAL EQUATIONS, CONVECTION(HEAT TRANSFER), CALCULUS OF VARIATIONS, COMPUTER PROGRAMS

Subject Categories : Numerical Mathematics
      Guns
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE