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has been cited by the following article:

• TITLE: Finite Element Analysis of Magnetohydrodynamic Natural Convection within Semi-Circular Top Enclosure with Triangular Obstacles

  AUTHORS: Arju Ara Runa, Md. Abdul Alim, Md. Shahidul Alam, Kazi Humayun Kabir

  KEYWORDS: Natural Convection, Finite Element Method, Hartmann Number, Rayleigh Number, Triangular Obstacle, Numerical Solution

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.12 No.1, March 10, 2022

  ABSTRACT: The phenomena of magneto-hydrodynamic natural convection in a two-dimensional semicircular top enclosure with triangular obstacle in the rectangular cavity were studied numerically. The governing differential equations are solved by using the most important method which is finite element method (weighted-residual method). The top wall is placed at cold Tc and bottom wall is heated Th. Here the sidewalls of the cavity assumed adiabatic. Also all the wall are occupied to be no-slip condition. A heated triangular obstacle is located at the center of the cavity. The study accomplished for Prandtl number Pr = 0.71; the Rayleigh number Ra = 103, 105, 5 × 105, 106 and for Hartmann number Ha = 0, 20, 50, 100. The results represent the streamlines, isotherms, velocity and temperature fields as well as local Nusselt number.