Characterization of 1-D and 2-D Cylindrical Pin Fins with Adiabatic and Convective End from the Characteristic Length

Abstract:- Although the cylindrical pin fin has been widely treated in thermal engineering literature, the problem has not been approached from the (two) dimensionless numbers provided by the discriminate dimensional analysis, particularly the characteristic length. The meaning of this dimensionless parameter is clear. Characterization of these fins based on the characteristic length is carried out for 1-D and 2-D conduction hypothesis and adiabatic and convective ends. Analytical and numerical solutions are used for this characterization. A Biot number that approximates the solutions of convective and adiabatic end is determined. Efficiency graphs are also presented. Key-Words:- Discriminated dimensional analysis, cylindrical pin fin, characteristic length, efficiency, 1-D an