The Solution of Combined Convection and Radiation Heat Transfer from Longitudinal Fins of Arbitrary Cross Section

摘要

The effects of combined radiative and convective heat transfer from arrays of longitudinal fins of arbitrary profile are analyzed subject to non-uniform surface emissivity and non-uniform surface film coefficients. Consideration is given to radiative interactions between adjacent fins and between fins and the base surface. Solution of the defining differential equation for fin temperature distribution is obtained through an iterative application of the B. G. Galerkin variational technique. Application of the method of solution is made to fins of parabolic, triangular, and inverse parabolic profile subject solely to the radiative mode of heat transfer. Effects in variations of the dimensionless radiation number, fin spacing, and fin surface emissivity, are investigated. Findings of the study reveal that for the pure radiative mode, fins can enhance the heat transfer between the base and the surroundings only for the case of low fin and base surface emissivity. (Author)