Effect of Mass Transfer and MHD Induced Navier’s Slip Flow Due to a non Linear Stretching Sheet
- Authors: Mahabaleshwar U.S.1, Nagaraju K.R.1, Sheremet M.A.2, Vinay Kumar P.N.1, Lorenzini G.3
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Affiliations:
- Department of Mathematics
- Department of Theoretical Mechanics
- Department of Engineering and Architecture
- Issue: Vol 28, No 4 (2019)
- Pages: 578-590
- Section: Article
- URL: https://journal-vniispk.ru/1810-2328/article/view/211887
- DOI: https://doi.org/10.1134/S1810232819040131
- ID: 211887
Cite item
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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