Journal
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Volume 58, Issue 1, Pages 81-99Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00033-006-0073-6
Keywords
Navier-Stokes equations; helical pipe; asymptotic analysis; curvilinear coordinates
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In this paper we study the flow of incompressible Newtonian fluid through a helical pipe with prescribed pressures at its ends. Pipe's thickness and the helix step are considered as the small parameter E. By rigorous asymptotic analysis, as epsilon -> 0, the effective behaviour of the flow is found. The error estimate for the approximation is proved.
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