DTM-Pade Approximants for MHD Flow with Suction/Blowing

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,...

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Bibliographic Details
Published in:Journal of Applied Fluid Mechanics 2013-10, Vol.6 (4), p.537-543
Main Authors: Thiagarajan, M, Senthilkumar, K
Format: Article
Language:English
Subjects:
Approximants
Blasius equation
Blowing
Boundary conditions
Differential equations
Differential Transformation Method (DTM)
Discretization
Magnetic effects
Magnetic fields
Mathematical models
MHD
Nonlinear differential equations
Nonlinear equations
Nonlinearity
Ordinary differential equations
Pade approximation
Partial differential equations
Perturbation
Porosity
Similarity
Suction
Transformations
Velocity distribution
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Summary: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.
ISSN:1735-3572
1735-3645
DOI:10.36884/jafm.6.04.21211