## Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction.(English)Zbl 1219.80098

Summary: In the present study the magnetohydrodynamic (MHD) liquid flow and heat transfer over non-linear permeable stretching surface has been presented in the presence of chemical reactions and partial slip. By means of proper similarity variables, the fundamental equations of the boundary layer are transformed to ordinary differential equations which for the fixed values of the $$x$$-coordinate along the plate local similarity solution would be valid appropriately. The ordinary differential equations are solved numerically using an explicit Runge-Kutta (4, 5) formula, the Dormand-Prince pair and shooting method. As a result, the velocity profiles, the concentration profiles, temperature profiles, the wall shear stress, the local Sherwood number and the local Nusselt number for the various values of the involved parameters of the problem are presented and discussed in details.

### MSC:

 80A20 Heat and mass transfer, heat flow (MSC2010) 76W05 Magnetohydrodynamics and electrohydrodynamics 76V05 Reaction effects in flows 76D05 Navier-Stokes equations for incompressible viscous fluids 76M25 Other numerical methods (fluid mechanics) (MSC2010) 80M25 Other numerical methods (thermodynamics) (MSC2010) 65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
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