Soret and Dufour Effects on Unsteady MHD Heat and Mass Transfer from a Permeable Stretching Sheet with Thermophoresis and Non-Uniform Heat Generation/Absorption

Abstract

This paper is focused on the study of heat and mass transfer characteristics of an unsteady MHD boundary layer flow through porous medium over a stretching sheet in the presence of thermo-diffusion and diffusionthermo effects with thermophoresis, thermal radiation and non-uniform heat source/sink. The transformed conservation equations are solved numerically subject to the boundary conditions using an optimized, extensively validated, variational finite element analysis. The numerical code is validated with previous studies on special cases of the problem. The influence of important non-dimensional parameters, namely suction parameter (), magnetic parameter (M), unsteadiness parameter (α), Soret parameter (Sr), Dufour parameter (Du) thermophoretic parameter (), space dependent (A1) and temperature dependent parameters (B1) and radiation parameter(An) on the velocity, temperature and concentration fields as well as the skinfriction coefficient, Nusselt number and Sherwood number are examined in detail and the results are shown graphically and in tabular form to know the physical importance of the problem. It is found that the imposition of wall fluid suction (>0) in the flow problem has the effect of depreciating the velocity, temperature and concentration boundary layer thicknesses at every finite value of η. This deceleration in momentum, thermal and concentration profiles is because of the fact that suction is taken away the warm fluid from the surface of the stretching sheet.

The Combined Magneto Hydrodynamic and Electric Field Effect on an Unsteady Maxwell Nanofluid Flow over a Stretching Surface under the Influence of Variable Heat and Thermal Radiation

“…The comparison with previous results [3] have been done. We have found good match in the behavior of all the parameters discussed in our problem.…”

“…The velocity is expected to be directly proportional to the space taken from the slit. The governing equation of energy, mass and momentum in existence of magnetic field and heat source is expressed as Equations (1)- (3). The flow of the nanofluid and heat transfer is assumed in unsteady state which is incompressible, laminar and stable.…”

Effect of SWCNTs and MWCNTs Maxwell MHD nanofluid flow between two stretchable rotating disks under convective boundary conditions

“…The set of ODEs – are highly nonlinear, and therefore cannot be solved analytically. FEM has been implemented to solve these nonlinear equations.…”

MHD boundary layer flow of SWCNT‐water and MWCNT‐water nanofluid over a vertical cone with heat generation/absorption

“…The set of ordinary differential equations 11‐13 are highly nonlinear, and therefore cannot be solved analytically. The finite‐element method has been used to solve these nonlinear equations. Comparison with a previously published work is made and is shown in Table .…”

“…Quantities of practical interest in this problem are skin-friction coefficient, local Nusselt number Nu x , and the local Sherwood number Sh x , which are defined as The set of ordinary differential equations 11-13 are highly nonlinear, and therefore cannot be solved analytically. The finite-element method [28][29][30][31] has been used to solve these nonlinear equations. Comparison with a previously published work is made and is shown in Table 2.…”