Simulation of Natural Convection Flow with Magneto-Hydrodynamics in a Wavy Top Enclosure with a Semi-Circular Heater  

作　　者：Mohammad Mahfuzul Islam Md. Abdul Alim Md. Mahmud Alam Md. Jahirul Haque Munshi Mohammad Mahfuzul Islam;Md. Abdul Alim;Md. Mahmud Alam;Md. Jahirul Haque Munshi(Department of Mathematics, Dhaka University of Engineering and Technology (DUET), Gazipur, Bangladesh;Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka, Bangladesh;Department of Mathematics, Hamdard University Bangladesh (HUB), Hamdard Nagar, Gazaria, Munshiganj, Bangladesh)

机构地区：[1]Department of Mathematics, Dhaka University of Engineering and Technology (DUET), Gazipur, Bangladesh [2]Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka, Bangladesh [3]Department of Mathematics, Hamdard University Bangladesh (HUB), Hamdard Nagar, Gazaria, Munshiganj, Bangladesh

出　　处：《Open Journal of Applied Sciences》2023年第4期591-603,共13页应用科学（英文）

摘　　要：Natural convection flow in enclosure has different applications such as room ventilation, heat exchangers, the cooling system of a building etc. The Finite-Element method based on the Galerkin weighted residual approach is used to solve two-dimensional governing mass, momentum and energy-equations for natural convection flow in the presence of a magnetic field on a roof top with semi-circular heater. In the enclosure the horizontal lower wall was heated, the vertical two walls were adiabatic, inside the semi-circular heater, the wavy top wall cooled. The parameters Rayleigh number, Hartmann number and Prandtl number are considered. The effects of the Hartmann number and Rayleigh number on the streamlines, isotherms, velocity profiles and average Nusselt number are examined graphically. The local Nusselt number and the average Nusselt number of the heated portion of the enclosure with the semi-circular heater are presented in this paper. Finally, for the validation of the existing work, the current results are compared with published results and the auspicious agreement is achieved.Natural convection flow in enclosure has different applications such as room ventilation, heat exchangers, the cooling system of a building etc. The Finite-Element method based on the Galerkin weighted residual approach is used to solve two-dimensional governing mass, momentum and energy-equations for natural convection flow in the presence of a magnetic field on a roof top with semi-circular heater. In the enclosure the horizontal lower wall was heated, the vertical two walls were adiabatic, inside the semi-circular heater, the wavy top wall cooled. The parameters Rayleigh number, Hartmann number and Prandtl number are considered. The effects of the Hartmann number and Rayleigh number on the streamlines, isotherms, velocity profiles and average Nusselt number are examined graphically. The local Nusselt number and the average Nusselt number of the heated portion of the enclosure with the semi-circular heater are presented in this paper. Finally, for the validation of the existing work, the current results are compared with published results and the auspicious agreement is achieved.

关 键 词：Natural Convection Magneto-Hydrodynamics (MHD) Finite Element Method (FEM) Wavy Enclosure Semi-Circular Heater 

分 类 号：TK1[动力工程及工程热物理—热能工程]