Thermogravitational magnetonanofluid flow in a square cavity with isotropic heat flow field and viscous dissipation: A compact approach

In this paper, thermogravitational flow in a square enclosure filled with Cu-water nanofluid which is influenced by inclined magnetic induction, has been mathematically modelled. Isotropic heat flow field and viscous dissipation effects are introduced in the modelling as well. The vertical walls of the domain are subjected to finite temperature gradient while the horizontal walls are thermally insulated. The control equations subject to the flow physics of an incompressible, viscous and electrically conducting fluid are the Navier-Stokes equations along with energy equation. These governing equations are solved numerically by proposing a fourth order compact scheme. The influences of diverse effective parameters including Hartmann number, viscous dissipation parameter (Eckert number) and heat generation or absorption parameter on characteristic features of heat transfer and fluid flow with different concentration distributions of nanoparticles are analyzed and addressed in detail. Results show that the presence of viscous dissipation retards the thermal diffusion process. The average Nusselt number values are decreased with the increasing values of Eckert number. In addition, with the increasing values of Hartmann number, the thermal transport is decreased in spite of incorporation of isotropic heat flow.