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Research Journal of Science and Technology
Year : 2017, Volume : 9, Issue : 4
First page : ( 549) Last page : ( 560)
Print ISSN : 0975-4393. Online ISSN : 2349-2988.
Article DOI : 10.5958/2349-2988.2017.00094.8

Micropolar Fluid Past A Stretching Surface with Viscous Dissipation in A Non-Darcy Porous Medium Under Slip Velocity

Kumar P. Sathies1,*, Gangadhar K.2, Devi M. Bharathi3, Parvathi M. Siva4

1Department of Mathematics, Raghava Degree College, Ongole, Andhra Pradesh-523001, India

2Department of Mathematics, Acharya Nagarjuna University, Ongole, Andhra Pradesh-523001, India, kgangadharmaths@gmail.comor, kgangadharmaths@anu.ac.in

3Department of Mathematics, Rise Krishna sai group of Institutions, Vallur, Andhra Pradesh-523001, India

4Department of Applied Mathematics, Sri Padmavati Mahila Visvavidyalayam, Tirulpati-517502, Andhra Pradesh, India

*Corresponding Author Email ID: satishpallas@gmail.com

Online published on 12 June, 2018.

Abstract

This paper investigated a numerical solution to an electrically conducting micropolar fluid with two dimensional boundary layer flow over a permeable stretching surface with heat flux. By concerning the viscous dissipation and non-Darcy porous medium, the slip velocity is also found. This is the extension of the previous study on MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation (absorption) and slip velocity (Mahmoud and Waheed, Journal of the Egyptian Mathematical Society (2012) 20, 20–27). The governing equations are transformed into a system of non-linear ordinary differential equations by using the similarity transformations. Analytically these differential equations cannot be solved as they are highly nonlinear. But they are solved numerically with the fourth order Runge-Kutta Gill procedure together with the shooting technique. For different values of governing parameters, namely, material parameter, magnetic parameter, slip parameter, Darcy number, Forchheimer number, Prandtl number and Eckert number, the numerical results are found for the velocity, angular velocity and temperature profiles as well as the skin-friction coefficient, the couple wall stress and the local Nusselt number.

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Keywords

Micropolar fluid, MHD, slip velocity, non-Darcy porous medium, Viscous Dissipation.

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