Simulation of forced convective power law fluid by using Darcy–Brinkman–Forchheimer flow model field

Abstract

This study investigates the fully developed heat transfer of steady, incompressible and laminar flow of power law fluid saturated porous medium through the rectangular duct by utilizing Darcy–Brinkman–Forchheimer flow model field. Hydrodynamic flow of power law-based fluid within a rectangular duct with porosity has not been reported in the literature. The consideration of Darcy–Brinkman–Forchheimer flow model makes it very much novel in its own right. The main objective of the present study is to explore the modified Darcy parameter on flow and heat transfer characteristics. Numerical results are obtained for different values of Darcy parameter, Da, inertia coefficient, Fr and power law model, n. We note the significant impact of inertial force on flow and heat transfer in the case of dilatant fluid; however, inertial force term can be ignored in the case of pseudo-plastic fluid due to its lower effect. Furthermore, with the decrease in aspect ratio, the effect of the inertial force can be reduced. It is also noted that, axial velocity significantly enhances with Darcy parameter Da. This behavior of the axial velocity is found to be similar for higher inertia coefficient Fr as well.