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Galerkin Method of Weighted Residual to Study on Enhanced Heat Transfer in Cylindrical Micro-Fins Heat Sink Using Artificial Surface Roughness

Gbeminiyi Musibau Sobamowo, K. F. Dukor, G. A. Oguntala


In this paper, a theoretical investigation is carried out on the use of artificial surface roughness for enhanced heat transfer and thermal management of cylindrical micro-fins with artificial surface roughness. The developed thermal models which are solved using Galerkin method of weighted residual, considered variable thermal properties according to linear, exponential and power laws. The approximate analytical solutions are used to carry out parametric studies and to establish the thermal performance enhancement of the rough fins over the existing smooth fins. Following the results of the simulations, it is established that the thermal efficiency of the micro-fin is significantly affected by the geometric ratio, nonlinear thermal conductivity parameter, thermo-geometric parameter and the surface roughness of the micro-fin. The results showed that geometric ratio and the surface roughness of the fin enhance the thermal performance of the micro-fin. The fin efficiency ratio as established in this present study is found to be greater than unity when the rough and the smooth fins are subjected to the same operations with the same geometrical, physical, thermal and material properties. Therefore, enhanced heat transfer and improved thermal management of electronic and thermal systems can be achieved through the use of artificial rough surface heat sink fins.


Enhanced heat transfer; Micro-fin; convective-radiative environment; Heat sink; Improved Thermal Management; Artificial surface roughness.

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