Numerical analysis of Non-Darcy MHD flow of a Carreau fluid over an exponentially stretching/shrinking Sheet in a porous Medium

Bhim Sen Kala¹ , Madan Singh Rawat² , Nimisha Rawat³ , Ajay Kumar⁴

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.295-303, Apr-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.295303

Online published on Apr 30, 2019

Copyright © Bhim Sen Kala, Madan Singh Rawat, Nimisha Rawat, Ajay Kumar . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, we have analysed numerically the non-Darcy MHD flow of a Carreau fluid over an exponentially stretching/shrinking sheet in a non- Darcy porous medium. In the mathematical model, using similarity variables, the momentum equation is transformed to non-dimensional ordinary differential equation . And then it is solved numerically using the MATLAB in-built numerical solver bvp4c-programm. A discussion for the effects of the parameters involved on the boundary layer thickness and the magnitude of the velocity and skin friction has been done graphically and numerically using figures and tables.

Key-Words / Index Term :
Magnetic field, Porous medium, Exponentially stretching sheet, Carreau fluid. Mathematics Subject Classification: 35A22, 35A35, 35A99, 35G20, 35G30

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