Viscous dissipation effects on heat propagating MHD nanofluid flow induced by the Brownian motion and thermophoresis impacts in a vertical cone with convective surface conditions

Abstract

This article investigates the effects of viscous dissipation on steady heat propagation through chemically reactive MHD nanofluid flow with mass and heat diffusion features in a vertical cone occupied by saturated porous medium. The flow of nanofluid in the medium resulting from the processes of Brownian motion and thermophoresis. The model is constructed by means of the scrupulous framework of dimensional PDEs accompanied by related initial and boundary conditions. These equations are adeptly renewed by applying appropriate similarity variables to non-dimensional ODEs. The resulting ODEs are solved by combining the 4th order Runge-Kutta method collective with the shooting technique. Flow's pertinent parameters affecting velocity, thermal, and concentration profiles are evaluated and illustrated graphically, while the wall shear-stress, heat and mass flux rates are accurately reported by tables. The thermal and velocity fields continued by viscous dissipation, thermophoresis and radiation effects. An improved Brownian motion begun to degrade concentration field but amended thermal and velocity fields. The strengthened magnetic field caused to decline velocity field but then the porosity fostered velocity field. The influence of thermal resistance ratio elaborated velocity, thermal and concentration fields. The wall friction depreciated with Brownian motion, heat-source and heat dissipation but it was increased with magnetic field. The rate of heat transfer lowered by the radiation and Brownian motion but it was upraised by the heat-source, thermophoresis and Biot number. Likewise, the mass transfer rate diminished by heightened Biot number and thermophoresis but it was increased by the Lewis number, Brownian motion and chemical reaction.