Navier–Stokes equations with periodic boundary conditions and pressure loss

We present in this note the existence and uniqueness results for the Stokes and Navier–Stokes equations which model the laminar flow of an incompressible fluid inside a two-dimensional channel of periodic sections. The data of the pressure loss coefficient enables us to establish a relation on the p...

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Bibliographic Details
Published in:Applied mathematics letters 2007, Vol.20 (1), p.48-53
Main Authors: Amrouche, Chérif, Batchi, Macaire, Batina, Jean
Format: Article
Language:English
Subjects:
Bidimensional channel
Computational methods in fluid dynamics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Incompressible fluid
Mathematical analysis
Mathematics
Navier–Stokes equations
Partial differential equations
Periodic boundary conditions
Physics
Pressure loss
Sciences and techniques of general use
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Summary:We present in this note the existence and uniqueness results for the Stokes and Navier–Stokes equations which model the laminar flow of an incompressible fluid inside a two-dimensional channel of periodic sections. The data of the pressure loss coefficient enables us to establish a relation on the pressure and to thus formulate an equivalent problem.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2006.02.023