Problems of Stationary Flow of Electrorheological Fluids in a Cylindrical Coordinate System
نویسندگان
چکیده
We consider the general problem on stationary flow of the electrorheological fluid with the constitutive equation developed in [R. H. W. Hoppe and W. G. Litvinov, Comm. Pure. Appl. Anal., 3 (2004), pp. 809–848] in the cylindrical coordinate system. The problem is studied under mixed boundary conditions wherein velocities are specified on one part of the boundary and surface forces are given on the other part. The existence of a solution to this problem and the convergence of Galerkin approximations are established. Then, we consider the occasion where the flow is axially symmetric and study a problem on an electrorheological clutch. This problem is solved numerically, and the results of calculations of the electric field and velocities are presented.
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عنوان ژورنال:
- SIAM Journal of Applied Mathematics
دوره 65 شماره
صفحات -
تاریخ انتشار 2005