DTM-Pade Approximants for MHD Flow with Suction/Blowing

Publish Year: 1392
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JAFM-6-4_008

تاریخ نمایه سازی: 5 بهمن 1400

Abstract:

In this paper, we study theoretically the magnetic effect of Blasius equation with suction/blowing. The similarity transformations are applied to reduce the governing partial differential equations to a set of nonlinear ordinary differential equations in dimensionless form. A mathematical technique, namely the Differential Transform Method (DTM), is used to solve the nonlinear differential equations under appropriate boundary conditions, in the form of series with easily computable terms. Then, Pade approximants are applied to the solutions to increase the convergence of the given series. The combined DTM-Pade procedure is implemented directly without requiring linearization, discretization or perturbation. Graphical results are presented to investigate influence of the Magnetic field on the velocity profiles.

Keywords:

Differential Transformation Method (DTM) , MHD , Porosity , Pade approximation

Authors

M. Thiagarajan

Department of Mathematics,PSG College of Arts and Science, Coimbatore-۶۴۱۰۱۴, India

K. Senthilkumar

Department of Mathematics,PSG College of Arts and Science, Coimbatore-۶۴۱۰۱۴, India