Abstract
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.
Highlights
Engineering practice requires extensive knowledge of flow through curved pipes
We prove the existence and uniqueness of the weak solution to the corresponding Navier-Stokes system with pressure boundary condition
Coiled pipes are well-known types of curved pipes which have been used in wide variety of applications
Summary
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. 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.
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