The ever-increasing demand for high-processing compact electronic systems has unequivocally called for improved microprocessor performance. However, increasing microprocessor performance requires increasing power and onchip power density, both of which are associated with increased heat dissipation. Electronic cooling using fins have been identified as a reliable cooling approach in miniaturized electronic systems. However, an investigation into the thermal behaviour of fin would help in the design of miniaturized, effective heatsinks for reliable microprocessor cooling. The aim of this paper is to investigate the simultaneous effects of surface roughness, porosity and magnetic field on the performance of a porous micro-fin under a convectiveradiative heat transfer mechanism. The developed thermal model considers variable thermal properties according to linear, exponential and power laws, and are solved using Chebychev spectral collocation method. A parametric study is carried out using the numerical solutions to establish the influences of porosity, surface roughness, and the magnetic field on the microfin thermal behaviour. The results of the simulation establish that thermal efficiency of the micro-fin is significantly affected by the porosity, magnetic field, geometric ratio, nonlinear thermal conductivity parameter, thermo-geometric parameter and the surface roughness of the micro-fin. Furthermore, the study establishes that the fin efficiency ratio which is the ratio of efficiency of the rough fin to the efficiency of the smooth fin is found to be greater than unity when the rough and smooth fins of equal geometrical, physical, thermal and material properties are subjected to the same operating condition. He is currently pursuing his PhD degree in Electrical Engineering at the University of Bradford, UK. His research interests include computational analysis, multi-user multi-service security, mobility management, network security, cryptography and information privacy.Raed Abd-Alhameed (M'02, S'13) is Professor of Electromagnetic and Radio Frequency Engineering at the University of Bradford, UK. He has long years' research experience in the areas of Radio Frequency, Signal Processing, propagations, antennas and electromagnetic computational techniques, and has published over 500 academic journal and conference papers; in addition, he is co-authors of four books and several book chapters. At the present he is the leader of Radio Frequency, Propagation, sensor design and Signal Processing; in addition to leading the Communications research group for years within the School of Engineering and Informatics, Bradford University, UK.