Reynolds number effects in the flow of an electrorheological fluid of a Casson type between fixed surfaces of revolution

Many electrorheological fluids (ERFs) as fluids with micro-structure demonstrate viscoplastic behaviours. Rheological measurements indicate that the flows of these fluids may be modelled as the flows of a Casson fluid. Our concern in the paper is to examine the pressurized laminar flow of an ERF of a Casson type in a narrow clearance between to fixed surfaces of revolution. In order to solve this problem the boundary layer equations are used. The Reynolds number effects (the effects of inertia forces) on pressure distribution are examined by using the averaged inertia method. Numerical examples of externally flows in the clearance between parallel disks and concentric spherical surfaces are presented.