Numerical Solution of PDE for MHD flow around a sharp geometry at high Mach and altitudes and its effect on drag and lift coefficients

In this paper, the effect of magneto-hydrodynamic flow on two aerodynamic geometries (2D & 3D) is investigated. The results (Lift and drag coefficients) for two and three-dimensional geometries, which have been tried to be similar to rocket wings, at high altitudes where the pressure is high and the temperature low, as well as Machs at 6 and 8 and at 9 different angles of attacks, are obtained in two modes with and without magnets. At the end, it was observed that adding a magnet to the problem increases the lift coefficient which maximum increment (77.5%) occurred for 3D geometry at Mach 8 and 50000 m height. Also, comparing the two-dimensional and three-dimensional geometries, it was observed that the stall angle did not occur in the two-dimensional geometry at 9000 altitude and Mach 6, but in the three-dimensional geometry and the same conditions, the stall angle was observed for the non-MHD mode, which is due to flow line of two-dimensional geometry. However, it was further observed that this angle was delayed by adding a magnet to the 3D geometry with the mentioned solution conditions.