Abstract
Finite element method based on Galerkin weighted Residual approach is used to solve two-dimensional governing mass, momentum and energy equations for steady state, natural convection flow in presence of magnetic field inside a square enclosure. The cavity consists of three adiabatic walls and one constantly heated wall. A uniformly heated circular solid body is located at the centre of the enclosure. The aim of this study is to describe the effects of MHD on the flow and thermal fields in presence of such heated obstacle. The investigations are conducted for different values of Rayleigh number (Ra) and Hartmann number (Ha). Various characteristics of streamlines, isotherms and heat transfer rate in terms of the average Nusselt number (Nu) are presented for different parameters. The effect of physical parameter (D) is also shown here. The results indicate that the flow pattern and temperature field are significantly dependent on the above mentioned parameters.
Highlights
The influence of the magnetic field on the convective heat transfer and the natural convection flow of the fluid are of paramount importance in engineering
Finite element simulation is applied to perform the analysis of laminar free convection heat transfer and fluid flow in a square cavity with a horizontal circular heated obstacle
A finite element method is used to make the present investigation for steady-state, incompressible, laminar and MHD free convection flow in a cavity with a heated body
Summary
The influence of the magnetic field on the convective heat transfer and the natural convection flow of the fluid are of paramount importance in engineering. Braga and de Lemos [7] investigated steady laminar natural convection within a square cavity filled with a fixed volume of conducting solid material consisting of either circular or square obstacles. They used finite volume method with a collocated grid to solve governing equations. Sarris et al [10] studied MHD natural convection in a laterally and volumetrically heated square cavity They concluded that the www.lana.lt/journal usual damping effect of increasing Hartmann number was not found to be straightforward connected with the resulting flow patterns. Roy and Basak [11] analyzed finite element method of natural convection flows in a square cavity with non-uniformly heated wall(s)
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