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 ɛ. By rigorous asymptotic analysis, as ɛ→ 0 , the effective behaviour of the flow is found. The error estimate for the approximation is proved.
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Marušić-Paloka, E., Pažanin, I. Fluid flow through a helical pipe. Z. angew. Math. Phys. 58, 81–99 (2007). https://doi.org/10.1007/s00033-006-0073-6
Mathematics Subject Classification (2000).
- Navier–Stokes equations
- helical pipe
- asymptotic analysis
- curvilinear coordinates