Journal of Mathematical Sciences and Applications, 2013, Vol. 1, No. 3, 39-42 Available online at http://pubs.sciepub.com/jmsa/1/3/1 © Science and Education Publishing DOI:10.12691/jmsa-1-3-1 Finite Element Galerkin’s Approach for Viscous Incompressible Fluid Flow through a Porous Medium in Coaxial Cylinders Anil Kumar 1,* , SP Agrawal 2 , Pawan Preet Kaur 3 1 Department of Applied Mathematics, World Institute of Technology Sohna, Gurgaon, India 2 Department of Civil Engineering, World Institute of Technology Sohna, Gurgaon, India 3 Deparment of Applied Mathematics, Lyallpur Khalsa College Engineering Jalandhar Punjab *Corresponding author: dranilkumar06@yahoo.co.in Received October 13, 2013; Revised November 07, 2013; Accepted November 10, 2013 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 Cite This Article: 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 1, no. 3 (2013): 39-42. doi: 10.12691/jmsa-1-3-1. 1. Introduction The important applications of MHD have been reported relating to the MHD generators, MHD pumps, nuclear reactors and MHD marine propulsion. The increasing cost of energy has lead technologists to examine measures which could considerably reduce the usage of the natural source energy. Heat transfers in magnetic thermal insulation within vertical cylinders annuli provide us insight into the mechanism of energy transport and enable engineers to use insulation more efficiently. Stephenson (1969) studied magnetohydrodynamic flow between rotating co-axial disks. Gupta et al. (1979) studied laminar free convective flow with and without heat sources through coaxial circular pipes. Varshney (1979) persuaded unsteady MHD flow of fluid through a porous medium in a circular pipe. Rath and Jena (1979) investigated fluctuating fluid between two coaxial cylinders. Gupta and Sharma (1981) persuaded the MHD flow of a conducting viscous incompressible fluid through porous media in equilateral triangular tube Pathak and Upadhyay (1981) investigated stability of dusty flow between two rotating coaxial cylinders. Shadday et al. (1983) studied the flow of an incompressible fluid in a partially filled rapidly rotating cylinder with a differentially rotating end cap. Pillai et al. (1989) discussed flow of a conducting fluid between two coaxial rotating porous cylinders bounded by a permeable bed. Javadpour and Bhattacharya (1991) discussed an axial flow in a rotating coaxial rheometer system bingham plastic. Gupta and Gupta (1996) investigated steady flow of an elastico-viscous fluid in porous coaxial circular cylinders. Abourabia et al. (2002) studied an unsteady heat transfer of a monatomic gas between two coaxial circular cylinders. Ratnam and Malleswari (2004) investigated convection flow through a porous medium in a coaxial cylinder. Krishna and Rao (2005) studied finite element analysis of viscous flow through a porous medium in a triangular duct. Nobre et al. (2006) studied the effects of interfaces in the propagation of the energy by optical modes in coaxial cylinders. Mazumdar and Deka (2007) investigated MHD flow past an impulsively started infinite vertical plate in the presence of thermal radiation. Oysu (2007) discussed Finite element and boundary element contact stress analysis with remeshing technique. Srinivasacharya and Shifera (2008) investigated numerical solution to the MHD flow of micropolar fluid between two concentric porous cylinders. Hossain et al. (2009) investigated the fluctuating free convection flow along heated horizontal circular cylinders. Makinde et al. (2009) studied MHD viscous flow in a rotating porous medium cylindrical annulus with an applied radial field. In this paper, we have analysed the free and forced convection of viscous fluid flow in coaxial cylinders taking into account the viscous dissipation. The governing equations have been solved by using Galerkin’s approach. The velocity and temperature profiles of the fluid flow are computed numerically and their behaviour is discussed by graphs for different values of the governing parameters. 2. Mathematical Analysis