Pulsating hydromagnetic flow of Oldroyd-B nanofluid in a vertical channel with entropy generation

Abstract

The magnetohydrodynamic pulsating flow of Oldroyd-B nanofluid in a vertical channel with the thermal radiation, viscous dissipation and Joule heating with entropy generation is investigated in the present study. The influence of Brownian motion and thermophoresis are taken into account. In this investigation, the Buongiorno model is used. The governing coupled partial differential equations are reduced into Ordinary differential equations by help of the perturbation method and numerically solved by using Runge-Kutta fourth order scheme along with shooting method. The impacts of different emerging parameters for velocity, temperature, nanoparticles concentration, heat and mass transfer rate are analysed in detail.

The term “nanofluid” refers to a substance in which nonometer-sized rigid particles are suspended in base fluids. Choi [1] was the first propose the development of nanofluid in 1995. The convective heat transfer in nanofluid was investigated by Buongiorno [2]. The author made a two-component, non-homogeneous four-equation equilibrium model in nanofluid. Radhakrishnamacharya and Maiti [3] explored pulsating flow of a viscous fluid in a porous channel with the heat transfer action. Non-Newtonian impacts in steady motion of some idealized elastic-viscous fluids were studied by Oldroyd [4]. Kumar et al. [5] used the Runge-Kutta fourth order technique along with shooting approach to investigate hydromagnetic pulsatile flow of non-Newtonian nanofluid in a vertical channel with porous medium.