Effect of viscous dissipation due to magnetohydrodynamic flow in an inclined channel

Abstract

Graphene oxide nanoparticles with higher thermal conductivity aid in enhancing the flow and heat transport in magnetohydrodynamic (MHD) devices such as MHD pumps. Modelling such devices with promising applications inherently necessitates the entropy studies to ensure efficient models. In conventional fluids, Lorentz force controls the fluid velocity in the presence of magnetic field. Whereas, the use of graphene oxide hypothesized the enhancement of flow, despite the impacts of Lorentz force, due to high thermal conductivity. This paper is an investigation to computationally study the hypothesis and to analyse the entropy generation in magnetohydrodynamic flow of graphene oxide (GO) in an inclined channel. Buongiorno nanofluid model is used including the impacts of nanoparticle attributes namely thermophoretic and Brownian diffusion along with viscous dissipation effects. Spectral quasilinearization method with Chebyshev's polynomials is adapted to solve the differential equations under convective conditions. On studying the effects of implanted parameters, it is concluded that the flow velocity enhancement by Hartmann number is remarked and is proved to be achieved from the thermal conductivity of graphene oxide particles. A quantitative analysis is made with the previously published results for special cases. Furthermore, investigations conclude that the entropy is contributed primarily from the heat transfer.