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A finite element method for free and forced convection heat transfer
Author(s) -
Schnipke Rita J.,
Rice James G.
Publication year - 1987
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620240109
Subject(s) - finite element method , natural convection , mechanics , cylinder , combined forced and natural convection , forced convection , benchmark (surveying) , convection , heat transfer , mixed finite element method , mathematics , materials science , thermodynamics , physics , geometry , geology , geodesy
A new finite element method is presented. This new method contains several novel features including a streamline upwind formulation for the advection terms and equal order interpolations for all variables: velocities, pressure, temperature and other fluid properties. This new formulation uses an iterative solution method greatly reducing the computer storage requirements. The validity of the new finite element method was tested on both a natural convection problem, a thermally driven cavity, and a forced convection problem, a heated cylinder in cross‐flow. The predicted results compared favourably with a benchmark solution for the cavity and an empirical correlation for the cylinder in cross‐flow.