Micro Scale Modeling of Heat Transfer and Entropy Generation in a Partially Porous Channel Using Lattice Boltzmann Method and Design of Experiments

Micro porous structures such as micro porous channel and micro porous cavities are characterized by very high energy efficiency. In this context, a numerical investigation based on the Lattice Boltzmann method is carried out in a micro porous channel filled with Cu/Water nanofluid in order to determinate the maximum of heat transfer by minimizing the irreversibility inside the micro porous geometry using design of experiments. In order to scrutinize the performance of this micro heat-exchanger from the continuous to the slip flow regime a coolant nanoliquid is diffused through the micro porous medium. The impact of independent several input design factors such as Kn, Re, Da and 8 is presented. The combination between the input design factors leads to obtain an optimized model in which the heat transfer is the maximum and the entropy generation is minimum. The results are presented in terms of response surface of heat transfer and total entropy generation. Correlations of the optimized model are then determinate.