Abstract
This paper reports multiple slip effects on MHD unsteady flow heat and mass transfer over a stretching sheet with Soret effect; suction/injection and thermal radiation are numerically analyzed. We consider a time-dependent applied magnetic field and stretching sheet which moves with nonuniform velocity. Suitable similarity variables are used to transform governing partial differential equations into a system of coupled nonlinear ordinary differential equations. The transformed equations are then solved numerically by applying an implicit finite difference method with quasi-linearization technique. The influences of the various parameters on the velocity temperature and concentration profiles as well as on the skin friction coefficient and Sherwood and Nusselt numbers are discussed by the aid of graphs and tables.
Highlights
Introduction e NavierStokes theory is centered on the central idea of no-slip condition
Increasing the Prandtl number increases the rate of heat transfer on the stretching surface
A parametric study was performed to explore the e ects of various governing parameters on the ow and heat and mass transfer characteristics. e following conclusions can be drawn from the present study: (i) Increasing the values of the magnetic eld parameter, suction parameter, slip parameters, and unsteady parameter leads to the deceleration of the uid velocity near the boundary layer region
Summary
A two-dimensional MHD ow of an incompressible electrically conducting uid over a permeable stretching surface in the presence of thermal radiation is considered. Where x and y are the coordinates along and normal to the sheet; u and v are the components of the velocity in the x and y directions, respectively; ρ is the density of the uid; ] is the kinematic viscosity of the uid; σ is the electrical conductivity; g is the acceleration due to gravity; βT is the thermal expansion coe cient; βC is the concentration expansion coe cient; α is the thermal di usivity; T is the temperature; C is the concentration; DM is the molecular di usivity; DT is the thermal di usivity; σ∗ is the Stefan–Boltzmann constant; and k∗ is the mean absorption coe cient. E temperature of the sheet Tw(x, t) and the concentration Cw(x, t) at the surface are assumed as of the following form: Tw(x, t). E asymptotic boundary conditions in equation (12) were approximated by using a value of 10 for the similarity variable ηmax as follows: ηmax 10,. E choice of ηmax 10 ensures that all numerical solutions approached the asymptotic values correctly
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