Vanishing viscosity limits for a class of circular pipe flows

Anna Mazzucato, Michael Taylor

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We consider 3D Navier-Stokes flows with no-slip boundary condition in an infinitely long pipe with circular cross section. The velocity fields we consider are independent of the variable parametrizing the axis of the pipe, and the component of the velocity normal to the axis is arranged to be circularly symmetric, though we impose no such symmetry on the component of velocity parallel to the axis. For such flows we analyze the limit as the viscosity tends to zero, including boundary layer estimates.

Original languageEnglish (US)
Pages (from-to)328-361
Number of pages34
JournalCommunications in Partial Differential Equations
Volume36
Issue number2
DOIs
StatePublished - Feb 1 2011

Fingerprint

Pipe Flow
Vanishing Viscosity
Pipe flow
Viscosity
Pipe
Slip Boundary Condition
Stokes Flow
Navier-Stokes
Velocity Field
Boundary Layer
Boundary layers
Cross section
Boundary conditions
Tend
Symmetry
Zero
Estimate
Class

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Vanishing viscosity limits for a class of circular pipe flows. / Mazzucato, Anna; Taylor, Michael.

In: Communications in Partial Differential Equations, Vol. 36, No. 2, 01.02.2011, p. 328-361.

Research output: Contribution to journalArticle

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