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Effects of the Reynolds Number and Prandtl Number on Flow and Temperature Field inside a Square Vented Enclosure having Heat Conducting Block


Affiliations
1 Department of Mathematics, Dhaka University of Engineering and Technology (DUET), Gazipur-1700, Bangladesh
2 2Department of Mathematics, Bangladesh niversity of Engineering and Technology (BUET), Dhaka-1000, Bangladesh
3 Department of Mathematics, Rajshahi University, Rajshahi-6205, Bangladesh
 

An approach is performed following finite element technique for MHD flow of viscous incompressible and electrically conducting fluid around a heat conducting solid block placed in a ventilated enclosure. A uniform transverse magnetic field is imposed in the opposite direction of flow perpendicular to the right vertical wall. Reynolds number and Prandtl number effects are investigated on flow and thermal field at a wide range of Reynolds (50≤Re≤500) and Prandtl (0.071≤Pr≤7.1) numbers. The expressions for the flow visualizations and temperature distributions inside the studied domain are presented by streamlines and isotherms. Moreover average Nusselt number at the hot wall and average bulk fluid temperature in the cavity are obtained. It is observed that the results focused in this paper are consistent with the physical reality of the flow problem.

Keywords

Reynolds Number, Prandtl Number, Square Enclosure, Mixed Convection, Heat Conduction
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  • Effects of the Reynolds Number and Prandtl Number on Flow and Temperature Field inside a Square Vented Enclosure having Heat Conducting Block

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Authors

M. U. Ahammad
Department of Mathematics, Dhaka University of Engineering and Technology (DUET), Gazipur-1700, Bangladesh
M. M. Rahman
2Department of Mathematics, Bangladesh niversity of Engineering and Technology (BUET), Dhaka-1000, Bangladesh
M. L. Rahman
Department of Mathematics, Rajshahi University, Rajshahi-6205, Bangladesh

Abstract


An approach is performed following finite element technique for MHD flow of viscous incompressible and electrically conducting fluid around a heat conducting solid block placed in a ventilated enclosure. A uniform transverse magnetic field is imposed in the opposite direction of flow perpendicular to the right vertical wall. Reynolds number and Prandtl number effects are investigated on flow and thermal field at a wide range of Reynolds (50≤Re≤500) and Prandtl (0.071≤Pr≤7.1) numbers. The expressions for the flow visualizations and temperature distributions inside the studied domain are presented by streamlines and isotherms. Moreover average Nusselt number at the hot wall and average bulk fluid temperature in the cavity are obtained. It is observed that the results focused in this paper are consistent with the physical reality of the flow problem.

Keywords


Reynolds Number, Prandtl Number, Square Enclosure, Mixed Convection, Heat Conduction

References