Mixed Convection Past A Vertical Heated Plate With Nano Fluids

Abstract

An attempt has been made to analyse the heat transfer process past a vertical heated plate embedded in a Newtonian fluid-saturated sparsely packed porous medium in the presence of nanofluids. The boundary layer flow in the porous medium is governed by Brinkmann's extended Darcy model with nanofluids. The governing equations are coupled and highly non-linear in nature. The partial differential equations are converted to higher-order ordinary differential equations using similarity transformations. The higher-order ordinary differential equations are reduced to first-order ordinary differential equations and solved to obtain velocity and temperature graphs by shooting technique choosing the initial guess values. The distributions of velocity and temperature are analysed for various pertinent parameters along with nanofluids and it found that the volume fraction of the nanoparticle enhances the thermal conductivity thereby giving the better heat transfer. The results obtained under the limiting conditions were found to be in good agreement with existing ones.