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Corresponding Author

Mahgoub, Mohamed

Subject Area

Mechanical Power Engineering

Article Type

Original Study

Abstract

In this work a new developed dimensionless finite difference technique for 2-D transient heat conduction is developed and presented. The technique is then applied to predict the time development of temperature profiles in a convectively cooled rectangular fin. In addition, a corrected analytical form that reduces the 2-D problem to a 1-D one is developed. Results prove that the numerical technique is simple and fast, while the 1-D reduced analytical solution is valid only for early time, small Biot number, and thin fins.

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