A NOVEL ANALYTICAL METHOD TO INVESTIGATE EFFECT OF RADIATION ON FLOW OF A MAGNETO-MICROPOLAR FLUID PAST A CONTINUOUSLY MOVING PLATE WITH SUCTION AND BLOWING

In this article, Differential Transform Method (DTM) and Pad´e approximants (DTMPad ´e), are considered for finding analytical solutions of a magneto-micropolar flow past a continuously moving plate with suction and blowing and radiation effect. This technique is extended to give solutions for system of nonlinear ordinary differential equations with boundary conditions at infinity. The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the ratio of two polynomials. Graphical results are presented to investigate influence of the radiation parameter, magnetic field parameter, Prandtl number, coupling constant parameter and the surface mass transfer parameter on velocity profiles, angular velocity profiles and temperature profiles. In addition, the numerical method is used to investigate the validity of this analytical method, an excellent agreement is observed between the solutions obtained from the DTM-Pad´e and numerical results. The results reveal that the DTM-Pad´e is very effective and convenient for solving engineering problems especially for boundary-layer problems.

Differential transform method (DTM); magneto-micropolar; Pad´e approximants; radiation.