A Couette-like flow is discussed, which is so important and fundamental in engineering problems. At first, some nondimensional parameters caused by magnetization are newly defined, and some relations between various nondimensional parameters defined in usual magnetohydrodynamics and the parameters newly defined here are given. The influences of these newly defined parameters on an electromagnetic field and a flow field are clarified. Furthermore, a pressure distribution caused by electromagnetic forces is analytically obtained which does not appear in the nonconducting magnetic fluid.
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