Abstract
In this investigation the attention is given to a mathematical model of the Newtonian liquid over an unsteady stretching sheet under the combined effects of different natural parameters with heat and mass transfer. The movement of a laminar thin liquid film and associated heat and mass transfer from a horizontal stretching surface is studied. Magnetic field is imposed perpendicular to the direction of flow while, surface tension is varied quadratically with temperature of the conducting fluid for viscous incompressible free surface flow. Furthermore, mixed convection, variation of thermal conductivity and viscosity (linear function of temperature) of the flow are examined. Moreover, effects of source/sink on mass and heat transfer of an unsteady thin film flow with pressure are also investigated. The transformation allows to convert the boundary layer model to a system of nonlinear ODEs (ordinary differential equations). Analytical and Numerical solutions of the resulting nonlinear ODEs are obtained by using HAM and BVP4C package. Thickness of the boundary layer is investigated by both methods, for a classical selection of the unsteadiness parameter. Present observation displays, the joined effects of source/sink (on mass and heat transfer), mixed convection and magnetic field is to improve the thermal boundary layer thickness. Results for the Sherwood number, heat flux (Nusselt number), skin friction coefficient and free surface temperature are granted graphically and in a table form. The flow is accountable to a chemical reaction, heat source and radiation absorption effects are pretended to be meaningful while taking into account the effect of Hartman number. Similarly, the effects of natural parameters such as thermocapillary number, Prandtl number and Schmidt number on the velocity, temperature and solute concentration are investigated.
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