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.
Highlights
Convection is a mode of heat transfer which takes place through the movement of collective masses of heated atoms and molecules within fluids such as gases and liquids, including molten rock
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
Following portion the estimates are completed for Prandtl number Pr = 0.71, the Rayleigh number Ra = 103, 105, 5 × 105, 106 and for Hartmann number Ha = 0, 20, 50, 100
Summary
Convection is a mode of heat transfer which takes place through the movement of collective masses of heated atoms and molecules within fluids such as gases and liquids, including molten rock. Application of natural convection heat transfer is very important in science, engineering researcher and fields such as thermal insulation, heating and cooling buildings, solar collector, heat exchang-. Several numerical and experimental systems have been advanced to investigate flow characteristics inside the cavities with and without obstacles. Most of the cavities repeatedly used in industries are rectangular, square, trapezoidal, cylindrical, elliptic and triangular, etc
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