Abstract
Fin widely used in industrial practice, and the surface heat transfer coefficient is not constant value. In this paper, through appropriate simplification, the mathematical model in Longitudinal Fin of Rectangular Profile has been established, When the surface heat transfer coefficient along the fin in the exponential changes. The exact solution of fin conduction has been get, and derived efficiency and the corresponding fin heat flux formula. And an example has been given to verify. The solution can be applied to engineering practice, and guided theoretical the heat transfer enhancement in the design of fin.
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