Abstract
An analysis is carried out to study two dimensional stagnation-point flow of heat and mass transfer of an incompressible, electrically conducting fluid towards a heated porous stretching sheet embedded in a porous medium in the presence of chemical reaction, heat generation/absorption and suction or injection effects. A scaling group of transformations is applied to the governing equations. After finding three absolute invariants a third order ordinary differential equation corresponding to the momentum equation and two second order ordinary differential equation corresponding to energy and diffusion equations are derived. Furthermore the similarity equations are solved numerically by using shooting technique with fourth-order Runge–Kutta integration scheme. A comparison with known results is excellent. The phenomenon of stagnation-point flow towards a heated porous stretching sheet in the presence of chemical reaction, suction or injection with heat generation/absorption effects play an important role on MHD heat and mass transfer boundary layer. The results thus obtained are presented graphically and discussed.
Highlights
The theoretical study of magnetohydrodynamic (MHD) has been a subject of great interest due to its widespread applications in designing cooling systems which are liquid metals, MHD generators, accelerators, pumps and flow meters
We discuss a steady two dimensional stagnationpoint flow of heat and mass transfer over a heated porous stretching sheet embedded in a porous medium in the presence of a chemical reaction, suction or injection with heat generation/absorption effects
By using a scaling group of transformations to analysis of the governing equations and the boundary conditions, the two independent variables are reduced by one the governing equations reduce to a system of non-linear ordinary differential equations with the appropriate boundary conditions
Summary
The theoretical study of magnetohydrodynamic (MHD) has been a subject of great interest due to its widespread applications in designing cooling systems which are liquid metals, MHD generators, accelerators, pumps and flow meters. Mahapatra and Gupta [11] studied two-dimensional stagnation-point flow of an incompressible viscous electrically conducting fluid towards a stretching surface. Lie group of transformations theory is used in this paper to find out the symmetries of the problem and to study which of them are appropriate to provide groupinvariant or similarity solutions This method applied intensively by some researchers [16,17,18,19,20,21,22]. We discuss a steady two dimensional stagnationpoint flow of heat and mass transfer over a heated porous stretching sheet embedded in a porous medium in the presence of a chemical reaction, suction or injection with heat generation/absorption effects. The similarity equations are solved numerically by using shooting technique with fourth-order Runge–Kutta integration scheme
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