Network simulation solutions for laminar radiating dissipative magneto-gas dynamic heat transfer over a wedge in non-Darcian porous regime

We study the steady-state, magnetohydrodynamic, optically thick, dissipative gas boundary layer flow and heat transfer past a non-isothermal porous wedge embedded in a scattering, homogenous, isotropic Darcy–Forchheimer porous medium, with significant thermal radiation effects in the presence of heat sink/sources and surface transpiration, in an ( x , y ) coordinate system. The Rosseland diffusion approximation is employed for which radiative flux can propagate only small distances prior to scattering or absorption. Joule electric dissipation, viscous heating and also stress work are incorporated in the boundary layer equations and a temperature-dependent heat source/sink term utilized. Following a transformation to a ( ξ , η ) coordinate system, the transformed coupled, nonlinear pseudosimilar equations for momentum and energy are solved using a powerful computational method based on thermoelectric analogy, viz the Network Simulation Method. The effects of magnetism (Hartmann number), Darcy number, Forchheimer number, Rosseland radiation–conduction parameter, pressure gradient parameter, Eckert number, transpiration (wall mass transfer) parameter, and heat source/sink parameter on velocity and temperature profiles are depicted graphically. Numerical solutions are compared where possible with earlier non-porous and non-dissipative studies and found to be in excellent agreement. The current study has potential applications in simulating laminar radiative-magnetohydrodynamic heat transfer over astronautical bodies in debris-laden (porous) regimes and also in geothermal physics and magnetic materials processing.