Keywords: dual reciprocity boundary element method, mixed-convection, lid-driven, magnetic field, solid square block, heat transfer, magneto-hydrodynamic flow..

This paper, describes a study conducted to numerically investigate the two-dimensional, steady, laminar, magneto-hydrodynamic mixed convection flow and heat transfer characteristics in a lid-driven enclosure beneath an externally applied magnetic field. A solid square block is placed inside the cavity. The governing equations in the form of a stream function-vorticity-temperature formulation are solved numerically using the dual reciprocity boundary element method with constant elements. Treatment of nonlinear terms by using only the fundamental solution of the Laplace equation, and the discretization of only the boundary of the region are the advantages of the dual reciprocity boundary element method giving small algebraic systems to be solved at a small expense. Numerical simulations are carried out for various relevant parameters, such as Reynolds number, Richardson number and Hartmann number and the results obtained are visualized in terms of streamlines and isotherms to assess the effect of aforementioned parameters on the flow field and temperature distribution. Moreover, the results of this study reveal that heat transfer and fluid flow are strongly affected from the presence and the location of the block. Thus, the solid square body can be used as a control parameter for enhancing the heat transfer and the flow characteristics in a cavity.

purchase the full-text of this paper (price £20)

go to the previous paper
go to the next paper
return to the table of contents
return to the book description
purchase this book (price £65 +P&P)