Fig. 1. Distribution of electronic conductivity and annular electric current: (a) Conductivity; (b) current.

Fig. 2. Magnetic induction intensity in different locations: (a) ; (b)

Fig. 3. Externally applied magnetic field: (a) BXF of this paper; (b) BXF^[33]; (c) BYF of this paper; (d) BYF^[33].

Fig. 4. Induced magnetic field: (a) BX of this paper; (b) BX^[33]; (c) BY of this paper; (d) BY^[33].

Fig. 5. Distribution of pressure in the flow computed by different method: (a) Low Re_m method^[33]; (b) full MHD method^[33]; (c) low Re_m method of this paper; (d)improved method of this paper.

Fig. 6. Distribution of electronic conductivity using M6: (a) Full contour map; (b) parameters along stagnation line.

Fig. 7. Induced magnetic field of RAM-C using improved method: (a) Component ; (b) component .

Fig. 8. Total magnetic field computed using improved method and externally applied magnetic field of RAM-C: (a) Total ; (b) total ; (c) externally ; (c) externally .

Fig. 9. Heat flux computed using Low Re_m method or improvbed method.

Fig. 10. Heat flux and residual error computed using different modified method: (a) Heat flux; (b) residual error.