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Theoretical analysis of thermal stability and inherent irreversibility of reactive hydro-magnetic Powell-Eyring fluid flow in a fixed vertical channel with variable electrical and thermalconductivities is examined. The conducting reactive fluid is influenced by gravity and axial pressuregradient under bimolecular kinetic rate law. Ignoring the material assumptions, the governingdimensionless equations are solved by finite semi-discretization difference scheme along with inte-gration Fehlberg Runge-Kutta method. The results for the momentum and heat equations, Bejannumber, thermal runaway, entropy generation and current density are graphically presented underdifferent thermophysical parameters. The computational results for the shear stress and heat trans-fer at the wall is also presented and discussed quantitatively. It was observed that the parameterwhich enhance the rate of entropy generation also augment Bejan number with large pitch ratio.Hence, entropy generation can be minimized at low dissipation and material variables.O2019 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, AlexandriaUniversity. This is an open access article under the CC BY-NC-ND license

Thermal stability and entropy generation of unsteady reactive hydromagnetic Powell-Eyring fluid with variable electrical and thermal conductivities