EFFECT OF VARIABLE THERMAL CONDUCTIVITY ON HEAT TRANSFER FROM SPINES OF UNIFORM CROSS SECTIONS USING HPM

Document Type : Original Article

Authors

1 Associate Professor, Department of Mechanical Engineering, National University of Sciences and Technology, PNS Jauhar, Karachi, Pakistan.

2 Researcher Associate, Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan.

Abstract

ABSTRACT:
Homotopy perturbation method (HPM) is employed to investigate the effects of temperature dependent thermal conductivity on the dimensionless temperature distribution along spines of arbitrary uniform cross sections (rectangular, square, elliptical and circular) in still ambient air. Thermal performance of each cross section is compared in terms of efficiency based on equal cross sectional area of the spines. It is noticed that elliptical and rectangular cross sections with smaller axis ratios have higher efficiencies and they approach to circular and square cross sections in the limiting case when their axis ratios tend to unity. The effect of Biot number on dimensionless temperature distribution and on efficiency of each cross section is also presented graphically.

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