Simulation of the flow of an electrorheological fluid between rotating surfaces of revolution

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.