DTM-Pade Approximants of MHD Boundary-Layer Flow of a Casson Fluid over a Shrinking Sheet

Thiagarajan Murugesan, Senthilkumar Kandasamy

Abstract


The magnetohydrodynamic (MHD) boundary layer flow of a Casson fluid over an exponentially permeable shrinking sheet has been investigated. 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. Variations of interesting parameters on the velocity are observed by plotting graphs.

Keywords


Magnetohydrodynamic (MHD); Casson fluid; Differential transformation method (DTM); Pade approximant

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References


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