I am currently learning how to optimize the inlet and outlet channel of mhd pumps. Since the 60s, the driving of liquid metals with magnetohydrodynamic pumps has been developing

I am currently learning how to optimize the inlet and outlet channel of MHD pumps. Since the 60s, the driving of liquid metals with magnetohydrodynamic pumps has been developing. MHD pumps are used in metallurgy, rockets and high temperature liquid and gases pumping. I have been studying the motion of fluids under the influence of MHD in square, rectangular, round and trapezoidal cross-sectional channels. As the Lorentz force increases, the velocity and flow rate increase. Lorentz force is generated when we apply an electric current and a magnetic field to liquids with high electrical conductivity. The Lorentz equations represent the microscopic electric and magnetic fields generated by charged particles. These equations were formed as a result of the generalization of Maxwell’s equations in the late 19th and early 20th centuries. Maxwell's equations are the basis of modern classical electrodynamics.