Finite Element Galerkin’s Approach for Viscous Incompressible Fluid Flow through a Porous Medium in Coaxial Cylinders

Anil Kumar^1, , SP Agrawal² and Pawan Preet Kaur³

¹Department of Applied Mathematics, World Institute of Technology Sohna, Gurgaon, India

²Department of Civil Engineering, World Institute of Technology Sohna, Gurgaon, India

³Deparment of Applied Mathematics, Lyallpur Khalsa College Engineering Jalandhar Punjab

Cite this paper:
Anil Kumar, SP Agrawal and Pawan Preet Kaur. Finite Element Galerkin’s Approach for Viscous Incompressible Fluid Flow through a Porous Medium in Coaxial Cylinders. Journal of Mathematical Sciences and Applications. 2013; 1(3):39-42. doi: 10.12691/jmsa-1-3-1

Abstract

In this paper, we are considering viscous incompressible fluid flow through a porous medium between two coaxial cylinders. The governing equations have been solved by using Finite element Galekin’s approach. The velocity and temperature profiles of the flow are computed numerically and their behaviours are discussed by graphs for different values of the parameters.

Keywords:
coaxial cylinder Galerkin’s scheme porous medium viscous flow

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References:

[1]	M. Gupta, G.K. Dubey and H.S. Sharma, “Laminar free convective flow with and without heat sources through coaxial circular pipes,” Indian Journal of Pure and Applied Mathematics, vol. 10(7), pp 792-799, 1979.
[2]	R.S. Rath and G. Jena, “Fluctuating fluid between two coaxial cylinders,” Indian Journal of Pure and Applied Mathematics, vol. 10(11), pp 1405-1414, 1979.
[3]	R.S. Pathak and B.N. Upadhyay, “Stability of dusty flow between two rotating coaxial cylinders,” Def. Science Journal, vol. 31(2), pp 155-165, 1981.
[4]	K. J. Pillai, S.V.K Verma and M.S. Babu, “Flow of a conducting fluid between two coaxial rotating porous cylinders bounded by a permeable bed,” Indian Journal of Pure and Applied Mathematics, vol. 20(5), pp 526-536, 1989.
[5]	S.H. Javadpour and S.N. Bhattacharya, “Axial flow in a rotating coaxial rheometer system bingham plastic,” J. Sci. I.R. Iran, vol. 2(3-4), pp 151-158, 1991.
[6]	R.K. Gupta and K. Gupta, “Steady flow of an elastico-viscous fluid in porous coaxial circular cylinders,” Indian Journal of Pure and Applied Mathematics, vol. 27(4), pp 423-434, 1996.
[7]	B. Barman, “Flow of a newtonian fluid past an impervious sphere embedded in a porous medium,” Indian Journal of Applied and Pure Mathematics, vol. 27(12), pp 1249-1256, 1996.
[8]	A.M. Abourabia, M.A. Mahmoud and W.S.A. Kareem, “Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders,” Journal of Applied Mathematics, vol. 2(3), pp 141-161, 2002.
[9]	L. Ratnam and D. Malleswari, Convection flow through a porous medium in a coaxial cylinder, Bulletin of Pure and Applied Sciences, vol. 24E (1), pp 145-152, 2004.
[10]	D.V. Krishna and P.N. Rao, “Finite element analysis of viscous flow through a porous medium in a triangular duct,” Bulletin of Pure and Applied Sciences, vol. 24E (1), pp 1-16, 2005.
[11]	E.F. Nobre, R.S.T. Moretzsonh, R.C. Vilela, G.A. Farias and N.S. Almeida, “Study of effects of interfaces in the propagation of the energy by optical modes in coaxial cylinders,” Brazilian Journal of Physics, vol. 36(3B), pp 967-970, 2006.
[12]	M.K. Mazumdar and R.K. Deka, “MHD flow past an impulsively started infinite vertical plate in the presence of thermal radiation,” Romanian Journal of Physics, vol. 52(5-7), pp 565-573, 2007.
[13]	C. Oysu, “Finite element and boundary element contact stress analysis with remeshing technique,” Applied Mathematical Modelling, vol 31, pp 2744-2753, 2007.
[14]	D. Srinivasacharya and M. Shifera, “Numerical solution to the MHD flow of micropolar fluid between two concentric porous cylinders,” Indian Journal of Applied Mathematics and Mechanics, vol. 4(2), pp 77-86, 2008.
[15]	O.D. Makinde, O.A. Beg and H.S. Takhar, “Magnetohydrodynamic viscous flow in a rotating porous medium cylindrical annulus with an applied radial field,” Indian Journal of Applied Mathematics and Mechanics, vol. 5(6), pp 68-81, 2009.
[16]	F. Hacivelioglu and A. Buyukaksoy, “Analysis of coaxial waveguide with finite-length impedance leading in the inner and outer conductors, Mathematical Problems in Engineering, vol. 55, pp 1-18, 2009.
[17]	Anil Kumar , C L Varshney and Sajjan Lal Perturbation Technique of MHD Free Convection Flow through Infinite Vertical Porous Plate with Constant Heat Flux, International Journal of Mathematical Modeling and Physical Sciences Vol. 01, Issue 02, June 2013, pp 1-5.