Impact of Magnetic Field at the Entrance Region of Porous Filled Duct Under the LTNE Model with Viscous Dissipation and Axial Conduction

We are examining the combined influence of axial conduction and viscous dissipation within the thermal-developing region using the framework of local thermal non-equilibrium (LTNE) in a duct packed with a saturated porous medium. This investigation delves into the thermal behaviours of fluid flow traversing a porous medium constrained within a channel formed by parallel plates. The channel boundaries maintain a constant wall heat flux boundary condition. The flow within the porous medium is modelled using the Darcy-Brinkman approach. Employing the clear fluid compatible (CFC) model for viscous dissipation at the thermal inlet, numerical solutions are obtained through a successive accelerated replacement (SAR) method. Augmentations in the Peclet number, Brinkman number and thermal conductivity ratio enhance temperature dispersion. Through a parametric exploration, this study facilitates the delineation of LTNE and local thermal equilibrium (LTE) domains over a wide range of these dimensionless parameters. The findings have been cross-referenced with the experimental investigations.