A comprehensive analysis of natural convection in a trapezoidal cavity with magnetic field and cooled triangular obstacle of different orientations

The phenomenon of natural convective flow being there with magnetic field in a trapezoidal cavity with cold triangular obstacle for different leaning angles ф (ф=0°, 30°, 45°) has been studied in this work numerically. The horizontal wall of the cavity is considered as non-uniformly heated while the upper wall of the cavity is thermal insulated and other side walls are at a cold temperature. Finite element technique of Galerkin weighted residual method (GWRM) is used to solve the principal partial differential equations. The numerical calculations are worked out for magnetic field parameter, such as, Hartmann number, Ha (0≤Ha≤200), which is used to find the effects on flow and temperature field and the study is also executed for other buoyancy parameters Rayleigh number, Ra (103≤Ra≤106) and Prandtl number, Pr = 0.7 and also for diverse orientations or rotations (0°≤rot≤90°) of cold triangular obstacle of the cavity. The obtained results are demonstrated in terms of streamlines, isotherms, heat transfer rates as well as local and average Nusselt numbers affected by the rotations of cold triangular obstacle and also aforesaid parameters.The phenomenon of natural convective flow being there with magnetic field in a trapezoidal cavity with cold triangular obstacle for different leaning angles ф (ф=0°, 30°, 45°) has been studied in this work numerically. The horizontal wall of the cavity is considered as non-uniformly heated while the upper wall of the cavity is thermal insulated and other side walls are at a cold temperature. Finite element technique of Galerkin weighted residual method (GWRM) is used to solve the principal partial differential equations. The numerical calculations are worked out for magnetic field parameter, such as, Hartmann number, Ha (0≤Ha≤200), which is used to find the effects on flow and temperature field and the study is also executed for other buoyancy parameters Rayleigh number, Ra (103≤Ra≤106) and Prandtl number, Pr = 0.7 and also for diverse orientations or rotations (0°≤rot≤90°) of cold triangular obstacle of the cavity. The obtained results are demonstrated in terms of streamlines, isotherms, heat transfer ra...