Non-Similar Solution of G-jitter Induced Unsteady Magnetohydrodynamic Radiative Slip Flow of Nanofluid

M.J Uddin,O Anwar Bég,W.A Khan,A I M Ismail

doi:10.3390/app10041420

Abstract

We present a mathematical model and numerical simulation of the unsteady 2-D g-jitter-free and forced the convective flow of water-based nanofluid from a flat plate, considering both the velocity slip and thermal slip conditions imposed on the wall of the plate. The Darcian model is used, and both cases of a calm and moving free stream are considered. In place of the extensively used linearly varying radiative heat flux, the nonlinearly varying heat flux calculation is applied to produce practically useful results. Further, we incorporate the “zero mass flux boundary condition” which is believed to be more realistic than the earlier extensively used “actively” controlled model. The parameter influences the non-dimensional velocity, temperature, nanoparticle volume fraction, skin friction and heat transfer rates are visualized graphically and discussed in detail. Special cases of the results are benchmarked with those existing in the literature, and a good arrangement is obtained. It is found that the rate of heat transfer is lower for the calm free stream rather than the moving free stream.

Highlights

G-jitter induced convection occurs due to forces associated with buoyancy, which is produced by the interaction of temperature and nanoparticle concentration differences and a gravitational field.G-jitter induced convection has many applications
This study, assumed the nanofluid to be electrically non-conducting. It transpires that magnetohydrodynamic (MHD) mixed convective g-jitter flow in a Darcian porous medium with passively controlled boundary conditions and nonlinear radiation effects has, far, not been investigated, and this is the aim of the present analysis
In the case of stationary free stream, surface friction rises with Darcy number, whereas, it reduces with magnetic field and time

Summary

Introduction

G-jitter induced convection occurs due to forces associated with buoyancy, which is produced by the interaction of temperature and nanoparticle concentration differences and a gravitational field. Rees and Pop [5] investigated the influences of g-jitter on the flow in the neighborhood of the forward stagnation point of a two-dimensional symmetric body They concluded that the emerging parameters had a significant effect on the friction, as well as heat transfer rates. Some relevant recent studies include Vafai and Tien [21], Takhar et al [22], and, recently, Motsumi and Makinde [23] These investigations have generally employed algebraic flux models to simulate the uni-directional radiative contribution to heat transfer and include the Rosseland diffusion, Cogley-Vincenti-Giles non-gray flux model, Schuster-Schwartzchild two-flux model, Chandrasekhar discrete ordinates model, etc. This study, assumed the nanofluid to be electrically non-conducting It transpires that magnetohydrodynamic (MHD) mixed convective g-jitter flow in a Darcian porous medium with passively controlled boundary conditions and nonlinear radiation effects has, far, not been investigated, and this is the aim of the present analysis. The analysis is relevant to magnetic nanofluid materials processing transport phenomena

Description and Formulation of the Governing Equations

Physical Quantities

Computational Solution of Nonlinear Boundary Value Problem

Illustration of the Results and Interpretation

14. Variation

Conclusions