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Generalized one-dimensional Reynolds’ equation for micropolar fluid film lubrication. (English) Zbl 1079.76005

Summary: This paper presents a theoretical study of some basic lubrication problems with micropolar fluids as lubricants. A generalized modified classical one-dimensional Reynolds’ type equation for micropolar fluid film lubrication has been derived. This equation shows that the boundary condition on the spin makes the fluid to behave as a classical fluid as far as one-dimensional problems of lubrication are concerned. It is observed that the polarity features of the fluid in the lubrication are not reflected when \(\beta\), the parameter of boundary values, is unity.

MSC:

76A05 Non-Newtonian fluids
76D08 Lubrication theory
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