Numerical investigation on effects of induced magnetic field and viscous dissipation on MHD mixed convection in a vertical micro-porous channel using the Brinkman–Forchheimer extended Darcy model

Abstract

The impact of viscous dissipation and induced magnetic field in the Brinkman–Forchheimer extended Darcy flow of MHD mixed convection in a vertical microporous channel is investigated. Three viscous dissipation models and three-wall ambient temperature difference ratios are analysed. The projected results indicate that the viscous dissipation model has a notable impact on velocity distribution, induced magnetic field, current density, skin friction, and Nusselt number. An increase in Brinkman number $\text{Br}$ increases velocity in the channel for distinct values of wall ambient temperatures difference ratios. Due to convection domination, an increase in Darcy’s number $\text{Da}$ increases skin friction. The effect of induced current density on Darcy number, Brinkman number, and inertial parameters are also discussed. The CFD data are used to train the built ANN model for predicting the heat transfer characteristics in the considered channel with 98.96% accuracy.

KEYWORDS:

• Viscous dissipation
• induced magnetic field
• Brinkman–Forchheimer extended Darcy model
• FEM
• ANN model

Disclosure statement

No potential conflict of interest was reported by the author(s).