In this chapter we are going to discuss some problems of magnetohydrodynamics whose fundamental equations are equations (4.47). Since equations (4.47) are much more complicated than ordinary Navier-Stokes equations, an extensive investigation of equation (4.47) is beyond the scope of this short book. What we are going to discuss is to give a few simple flow problems which show the essential difference between magnetohydrodynamics and ordinary hydrodynamics. In § 2, we discuss the flow between parallel plates, both the Poiseuille and Couette flows will be treated. In § 3, the flow through a pipe will be discussed. In § 4, the flow near a stagnation point will be considered.
KeywordsStagnation Point Couette Flow Boundary Layer Flow Skin Friction Coefficient Hartmann Number
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