Analysis of Heat Generating, Heat Conducting and Thermally Isolated Internal Solid Block Confined in a Ventilated Enclosure
M. U. Ahammad
Department of Mathematics, Dhaka University of Engineering and Technology (DUET), Gazipur-1707, Bangladesh.
M. H. Rashid *
Department of Mathematics, Dhaka University of Engineering and Technology (DUET), Gazipur-1707, Bangladesh.
M. A. Rahman
Department of Mathematics, Dhaka University of Engineering and Technology (DUET), Gazipur-1707, Bangladesh.
*Author to whom correspondence should be addressed.
Abstract
A numerical study is executed on laminar, incompressible viscous flow in a ventilated enclosure to clarify the flow and heat transfer characteristics of an electrically conducting fluid subjected to three different interior solid block. The Reynolds number, Prandtl number and Hartmann number are treated as governing parameters in this article. Galerkin-weighted residual based Finite Element method was applied for performing the solution of governing equations. In order to explore the effect of considered three obstacles along with studied parameters, detailed analysis were carried out for visualization of streamlines and isotherms that represents the flow pattern and temperature distribution inside cavity. In addition, average Nusselt number Nuav at the bottom heated surface of the cavity is shown in tabular form. It is observed that maximum cooling effectiveness that is highest heat transfer rate is achieved for the case of heat conducting block for all considered parameters.
Keywords: Heat generating (HG), heat conducting (HC), thermally isolated (TI), solid block, ventilated enclosure.