Abstract

These instructions In the present study, an analytical solution of the magnetohydrodynamic steady incompressible laminar boundary layer flow with a velocity slip on the wall-boundary of a cone due to a point sink at the vertex has been studied in the presence of heat transfer, mass transfer and magnetic parameters by using the homotopy analysis method (HAM). The HAM produces an analytical solution of the governing self-similar non-linear two-point boundary layer equations with great precision. Further, the effects of the suction/injection, velocity slip and magnetic parameters over the given flow-field have been discussed. The effects of Prandtl number on temperature and Schmidt number on concentration profiles have also been studied graphically. The present results have been compared numerically and graphically with the corresponding results obtained by other methods, an excellent agreement has been found between them. The accuracy in the result shows that the HAM aided by computing software like MATHEMATICA, Maple, etc. is very proficient and easily applicable technique for solving similarity equations with strong non-linearity. The analytical solution obtained by HAM is very near to the exact solution for a properly selected initial guess, auxiliary and convergence control parameters and for higher orders of deformations.