FEM BASED SOLUTIONS FOR THE FLOW OF HYBRID CASSON NANO FLUID INSIDE CAVITY

Abstract

In this study we explored numerically, the free convection phenomena in non-Newtonian Casson hybrid nanofluid (Al2O3- Cu/water) within H-shaped cavity. The heating efficiency and transmit heat flow in the cavity is influenced by perpendicular hot walls which connect two vertical closed channels. Where extreme vertical walls are said to be cold. The physical model of this problem is governed by non-linear partial differential equations. Governing partial differential equations are solved numerically with Galerkin finite element method on 2d triangular mesh. Results are visualized with the help of streamlines, isotherms and line graphs. It is noted that for increasing Rayleigh numbers (103 ≤ 𝑅𝑎 ≤ 106) heat transfer in fluid is increased, further changing the volume fraction of the solid particles is directly related to the heat transfer enhancement. The parameter governing the non-Newtonian nature of the fluid effects the natural convective heat transfer mechanism. The average Nusselt number grows by incrementing Rayleigh number (𝑅𝑎), volume fraction of solid particles (𝜙ℎ𝑝) and non Newtonian parameter (𝛾).