Adomian decomposition method (ADM) solution of boundary layer flow past a stretching plate with heat transfer, viscous dissipation and Grashof number

Abstract

The research work focuses on the solution of Magnetohydrodynamics (MHD) boundary layer flow past a stretching plate with heat transfer and viscous dissipation. The non-linear of momentum and energy equation are transformed into ordinary differential equation using similarity transformation, the resulting equation were solved using Adomian decomposition method (ADM). An attempt has been made to show the potentials and wide range application of the Adomian decomposition method in the comparison with the previous one in solving heat transfer problems. The Pade approximatants value (η= 11[11, 11]) was used on the difficulty at infinity. The results were compared by numerical technique method. A vivid conclusion can be drawn from the results that ADM provides highly precise numerical solution for non-linear differential equations. The result were accurate especially for η ≤4, a general equating terms of Eckert number (Ec), prandtl number (Pr), magnetic parameter ( ) and Grashof number were derived and were used to investigate velocity and temperature profiles in boundary layer