Darcy-Forchheimer Flow of a Nanofluid Over a Porous Plate with Thermal Radiation and Brownian Motion

Author:

Essam M. Elsaid1,Abedel-AaL Elsayed M.2

Affiliation:

1. Department of Mathematics, College of Science and Arts at Belqrn, University of Bisha, P.O. Box 60, Sabt Al-Alaya, 61985, Saudi Arabia

2. Deanship of Common First Year, Jouf University, Sakaka, Saudi Arabia

Abstract

This research looked at the effects of thermal radiation and Brownian motion on the mixed convection heat and mass transfer of nanofluid over a porous plate in a Darcy-Forchheimer flow. The controlling partial differential equations are converted to ordinary differential equations and numerically solved by using Runge-Kutta fourth-order alongside shooting approach. Different physical parameters’ effects on temperature, velocity, and concentration distribution are studied. In addition, the results are also graphically represented. The reduced local Nusselt number and Sherwood number are shown and compared to previous investigations; the comparisons are extremely close. According to the results, the rate of heat transfer is lowered by 63.83% when the Brownian parameter is increased from 0.2 to 1 (in case of suction) and by 83.31% when the Brownian parameter is increased from 0.2 to 1 (in the case of injection). Also, in the case of suction, thermophoresis parameters lowered it by 50.48%, and in the case of injection, it was reduced by 65.08%.

Publisher

American Scientific Publishers

Subject

Fluid Flow and Transfer Processes,Mechanical Engineering

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