alexa On the Class of Exact Solutions of MHD Layer Fluid Flow
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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Research Article

On the Class of Exact Solutions of MHD Layer Fluid Flow of Second Order Type by Creating Sinusoidal Disturbances on the Porous Boundary

Kulkarni SB*

Department of Applied Mathematics, Finolex Academy of Management and Technology, Ratnagiri, Maharshtra, India

*Corresponding Author:
Kulkarni SB
Department of Applied Mathematics
Finolex Academy of Management and Technology
Ratnagiri, Maharshtra-415 639, India
Tel: 02352228361
E-mail: [email protected]

Received July 09, 2015; Accepted August 21, 2015; Published August 26, 2015

Citation:Kulkarni SB (2015) On the Class of Exact Solutions of MHD Layer Fluid Flow of Second Order Type by Creating Sinusoidal Disturbances on the Porous Boundary. J Appl Computat Math 4:246. doi:10.4172/2168-9679.1000246

Copyright: ©2015 Kulkarni SB. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

 

Abstract

Exact solution of an incompressible fluid of second order type by causing disturbances in the liquid which is initially at rest due to bottom oscillating sinusoid ally has been obtained in this paper. The results presented are in terms of non-dimensional elastic-viscosity parameter (β) which depends on the non-Newtonian coefficient and the frequency of excitation (σ) of the external disturbance while considering the magnetic parameter (m) and porosity (k) of the medium into account. The flow parameters are found to be identical with that of Newtonian case as β →0 , m→0 and k→∞ .

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