Heat transfer and entropy generation analysis in a horizontal channel filled with a permeable medium in the presence of aligned magnetic field and temperature gradient heat source

Abstract The current investigation is concerned with heat transfer and entropy generation analysis in a horizontal channel brimming porous medium the existence of aligned magnetic field, viscous joules dissipation temperature gradient source. boundary conditions are treated as constant values for velocity at lower upper walls. An explicit solution governing equations has been attained closed system. repercussions pertinent parameters on fluid velocity, temperature, Bejan number conferred scrutinized through graphs detail. Additionally expressions shear stress rate coefficients walls derived results obtained physically interpreted tables. From conquered results, it addressed that Brinkman Br enhances layer thickness. Entropy increases intensifying $$M$$ M , angle ϕ, source parameter Q characteristic ration $$\omega$$ ω permeability K. same both