The steady laminar flow of an electrorheological fluid (ERF) through narrow space between two rotating surfaces of revolution is considered. The ERF is modelled as a viscoplastic fluid of Herschel - Bulkley. The quasi - linearized equations of flow for axial symmetry in the curvilinear coordinate system x, 'teta', y are used. The obtained solutions to the equations of motion have been illustrated by examples of flow through the clearance of constant thickness between rotating disks and spherical surfaces.
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