Effect of Mass Transfer and MHD Induced Navier’s Slip Flow Due to a non Linear Stretching Sheet


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Abstract

MHD flow of an electrically conducting Newtonian fluid over a super linear stretching sheet in the presence of suction/injection and Navier slip is studied using modified Adomain decomposition method (MADM) and Padé approximants. Governing nonlinear partial differential equations are transformed into nonlinear ordinary differential equations using an appropriate similarity transformation. The transformed equations are solved analytically by the modified ADM and Padé approximation. The modified ADM for solving nonlinear differential equations is purely and solely the traditional Taylor’s series method. Padé approximants are applied to increase the convergence of the given series. The developed analytical technique is verified comprehensively. It is found that Navier’s slip condition can lead to a non-essential growth of the boundary layer thickness and a decrease in the axial and transverse velocities.

About the authors

U. S. Mahabaleshwar

Department of Mathematics

Author for correspondence.
Email: ulavathi@gmail.com
India, Shivagangotri, Davangere, 577007

K. R. Nagaraju

Department of Mathematics

Author for correspondence.
Email: rajnagkr@gmail.com
India, Hassan, 573201

M. A. Sheremet

Department of Theoretical Mechanics

Author for correspondence.
Email: michael-sher@ya.ru
Russian Federation, Tomsk, 634050

P. N. Vinay Kumar

Department of Mathematics

Author for correspondence.
Email: vinaykumarpn1981@gmail.com
India, Paduvalahippe, Hassan

G. Lorenzini

Department of Engineering and Architecture

Author for correspondence.
Email: giulio.lorenzini@unipr.it
Italy, Parco Area delle Scienze 181/A, Parma, 43124

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