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A class of exact solutions for the flow of a micropolar fluid. (English) Zbl 0609.76006
The flow of a micropolar fluid in an orthogonal rheometer is considered. It is shown that an infinite number of exact solutions characterizing asymmetric motions are possible. The expressions for pressure in the fluid, the components of the forces and couples acting on the plates are obtained. The effect of microrotation on the flow is brought out by considering numerical results for the case of coaxially rotating disks.

MSC:
76A05 Non-Newtonian fluids
76U05 General theory of rotating fluids
35Q99 Partial differential equations of mathematical physics and other areas of application
76M99 Basic methods in fluid mechanics
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