This paper investigates the inherent irreversibility in a buoyancy induced magnetohydrodynamic (MHD) couple stress
fluid through non-Darcian porous medium. It is assumed that the fluid exchanges heat with the ambient following Newtonian
law. The governing Navier-Stoke and energy equations are formulated and non-dimensionalied, the approximate solutions for
the velocity and temperature profiles are obtained via Adomian decomposition method. The results are used to calculate the
entropy generation rate, and Bejan number. The effects of Buoyancy force, suction/injection, Hartman number and other flow
parameters on velocity, temperature, entropy generation rate, and Bejan number are analyzed and discussed graphically. The
results show that increase in Buoyancy force and suction/injection increases fluid velocity and temperature.Entropy generation
rate becomes higher as the values of Buoyancy force, suction/injection parameter, and Hartman number increase