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On the Steady Motion of a Navier-Stokes Flow Across a Sieve with Prescribed Pressure Drop in a Finite Pipe

  • 2025
  • OriginalPaper
  • Chapter
Published in:
Author
Gianmarco Sperone
Published in
Stochastics in Fluids
Publisher
Springer Nature Switzerland

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Abstract

This chapter explores the steady motion of a viscous incompressible fluid in a three-dimensional aperture domain, focusing on the behavior of fluid flow through a sieve with a prescribed pressure drop. The study investigates how the motion of the jet changes when it transitions through several apertures driven by a pressure difference across the wall containing the holes. It also describes the asymptotic motion (percolation) of the pressure-driven jet as the number of apertures increases while their diameters decrease. The research employs homogenization theory to analyze the limiting behavior of the solutions to the partial differential equations governing the fluid flow. The main goal is to study the asymptotic behavior of the solutions as the sieve becomes finer, ultimately deriving the effective equations in the homogeneous medium. The study provides a comprehensive analysis of the Navier-Stokes sieve problem, offering insights into the behavior of fluid flow in complex geometries and the impact of homogenization on the effective equations.
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previous chapter Calculation of Pressure and Forces in Stochastic Vortex Methods
next chapter On the Derivation of the Compressible Primitive Equations
Title
On the Steady Motion of a Navier-Stokes Flow Across a Sieve with Prescribed Pressure Drop in a Finite Pipe
Author
Gianmarco Sperone
Copyright Year
2025
Book
Stochastics in Fluids

Print ISBN: 978-3-032-02298-1

Electronic ISBN: 978-3-032-02299-8

Copyright Year: 2025

DOI
https://doi.org/10.1007/978-3-032-02299-8_6
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