A computational three-dimensional modeling of microchannel heat sink (MCHS) with fan cavity and four different rib configurations along with secondary channels (SCs) has been performed in detail to identify the influence of geometrical parameters on characteristics of heat transfer and provide insight into optimum configuration. The adverse effect of high processing speed and heat flux demands lower operational temperature at the expense of high pumping power in order to increase the lifespan of electronic equipment. Single phase, laminar flow of fluid is considered in the Reynolds number range from 136 to 588. The novel design of the SC benefits heat transfer enhancement by the increase in flow area, originates secondary flows subsequently transforms into symmetric counter-rotating vortices on the basis of rib, however, the influence of the rib blocking effect also depletes, resulting in minimal pressure drop. The comparison between various rib structures confirms that the FC-FTR-SC configuration acquired superior heat transfer performance with a TP of 2.07, at Re = 261. The FC-FTR-SC configuration has a great deal of evidence that pumping power decreases by 10.1% and TP increases by 11.7% as β increases from 0.5 to 1.25. The influence of four geometric parameters: relative width of rib ( α), relative width of the SC ( β), relative length of cavity ( γ), and relative angle of the SC ( ϕ) on heat transfer enhancement and pressure drop have been performed using parametric optimization, response surface methodology.