The Buoyancy Ratio Number Effect on Al2O3-Water Nanofluid Magneto Convective Transport Considering Buongiorno Model in Existence of Surface Radiation

Abstract

A numerical program is adapted for the solution of the 2D, unsteady state equations of coupling convective transport of Buongiorno model and surface radiation; computations are performed in a square cavity differentially heated filled up with an AL2O3-water magneto nanofluid. The governing equations in Helmholtz variables (ψ, ω) are solved using a method based on Gauss's theorem integral on triangles meshes. Effects of aiding buoyancy forces (Nr=0.1, 2, and 4), emissivity (ε=0, 0.2, 0.6 and 0.9) on flow structure and convective transport characteristics are investigated. Hartmann number (Ha=50), and Lewis number (Le=5), nanofluids parameter of Brownian motion (Nb=0.5), thermal Rayleigh number (Ra=105), H=0.0098, nanofluids parameter of thermophoretic (Nt=0.5), Prandtl number (Pr=10) are invariable.