DOE of heat transfer and entropy generation in channel microheat exchanger driven by a coflow

This paper aims to perform heat transfer and entropy generation in a micro medium filled with nanoliquid in the slip flow regime. The case of microchannel is investigated using a mesoscopic numerical analysis. The nanofluid flow is driven along the microchannel by a co- flow at the inlet. Near the top cold wall the flow is induced by a constant velocity (Uin) and hot temperature (TH) but near the bottom heated wall the nanoliquid is driven by a constant velocity (Uin/4) and a cold temperature (TC). The slip velocity and the temperature jump conditions are imposed to the walls. Lattice Boltzmann method was used to solve the obtained governing equation system by means of the SRT-BGK model. Attention was focused on the influence of the emerging input parameters such as Knudsen number (Kn), Reynolds number (Re), nanoparticles diameter (Dp) and volume fraction (Vf) on the heat transfer enhancement and entropy generation minimization throughout this paper. Correlations of heat transfer enhancement and volumetric entropy have been inscribed based on response surface methodology.