On the fully developed flow in a curved pipe at large Dean number

S. C. R. Dennis, N. Riley · Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences · 1991

Abstract In this paper we consider the asymptotic form, for large Dean number, of the solution which describes the fully developed laminar flow in a curved pipe of circular cross section. Although we have not been able to provide a complete solution we present strong evidence in favour of an asymptotic structure which is based upon an in viscid core flow enclosed by viscous boundary layers at the pipe wall.

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