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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Flow and Heat Transfer of a non-Newtonian Fluid: a Numerical Approach using Lie Scale Transformation Technique

Journal of Applied Nonlinear Dynamics 13(3) (2024) 603--617 | DOI:10.5890/JAND.2024.09.015

V. Anitha$^1$, Ramakrishna Prasad$^2$

$^{1}$ Department of Mathematics, Government Science College, Hassan, Karnataka, India -- 573 201

$^{2}$ Department of Mathematics, Sri Venkateswara University, Tirupati, India-- 517 502

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Abstract

In this study, the solutions are provided for steady, incompressible, and electrically conducting non-Newtonian fluid flow over a stretching surface embedded in a porous medium with variable viscosity in the presence of a uniform transverse magnetic field, a heat source/sink, and Joule heating. With the Scaling group transformations, we transformed the non-linear coupled partial differential equations into coupled ordinary differential equations. Symbolic algebra software Maple was used to illustrate the effects of embedded variables on the distribution of velocity and heat functions, and a comparison of skin friction and temperature gradient was conducted using a table.

Acknowledgments

I am very grateful to Prof. K.V Prasad, Department of Mathematics, VSKU, Bellary for his passionate consisting support throughout my research and for preparation of this manuscript. Also, I extend my thanks to my college management and my fellow colleagues for their support and encouragement.

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