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Mathematical Problems in Engineering
Volume 2009, Article ID 957061, 10 pages
Research Article

On the Solvability of a Problem of Stationary Fluid Flow in a Helical Pipe

Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia

Received 28 March 2009; Accepted 24 May 2009

Academic Editor: Mehrdad Massoudi

Copyright © 2009 Igor Pažanin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider a flow of incompressible Newtonian fluid through a pipe with helical shape. We suppose that the flow is governed by the prescribed pressure drop between pipe's ends. Such model has relevance to some important engineering applications. Under small data assumption, we prove the existence and uniqueness of the weak solution to the corresponding Navier-Stokes system with pressure boundary condition. The proof is based on the contraction method.