Numerical Study of MHD Free Convection Flow and Mass Transfer Over a Stretching Sheet Considering Dufour & Soret Effects in the Presence of Magnetic Field

In the present approach, a two-dimensional steady MHD free convection flow and mass transfer over a stretching sheet has been analyzed numerically including the Dufour and Soret effects with a magnetic field. The governing differential equations of the problem have been transformed into a system of non-dimensional differential equations, which are then solved numerically using a sixth-order Runge-Kutta integration scheme with Nachtsheim-Swigert shooting method. The dimensionless velocity, temperature and concentration profiles are displayed graphically showing the effects for the different values of the involved parameters of the problem. Moreover, the effects of So and Du on the local skin-friction coefficient (Cf), local Nusselt number (Nu) and local Sherwood number (Sh) are also shown in tabular form. The investigated results showed that the flow field is notably influenced by the considering parameters. Index Term-MHD, Convection, Flow and mass transfer, Dufour effect, Soret effect, Magnetic field. NOMENCLATURE A1, A2 are proportionality constants Re Local Reynolds number b Stretching rate Sc Schmidt number B0 Magnetic field intensity Sh Sherwood number C Concentration So Soret number Cs Concentration susceptibility T Fluid temperature Cp Specific heat at constant pressure T Fluid temperature in the free stream c Concentration in free stream Tm Mean fluid temperature α Thermal diffusivity Dm Mass diffusivity β Coefficient of thermal expansion Du Dufour number β * Coefficient of concentration expansion fw Dimensionless suction velocity σ Electrical conductivity Fs Local Forchheimer number ρ Density of the fluid g Acceleration due to gravity ν Kinematic viscosity Gm Local modified Grashof number θ Dimensionless temperature Gr Local Grashof number φ Dimensionless concentration KT Thermal diffusion ratio w Condition at wall k Thermal conductivity  Condition at infinity M Magnetic field parameter u, v Darcian velocities in the x and y-direction Nu Nusselt number respectively Pr Prandtl number x, y Cartesian coordinates along the plate and r heat flux exponent parameter normal to it, respectively