Numerical study of secondary flows and roll-cell instabilities in rotating channel flow

Charles G. Speziale, Siva Thangam

Research output: Contribution to journalArticle

82 Citations (Scopus)

Abstract

A numerical study is conducted on the pressure-driven laminar flow of an incompressible viscous fluid through a rectangular channel subjected to a spanwise rotation. The full nonlinear time-dependent Navier-Stokes equations are solved by a finite-difference technique for various rotation rates and Reynolds numbers in the laminar regime. At weak rotation rates, a double-vortex secondary flow appears in the transverse planes of the channel. For more rapid rotation rates, an instability occurs in the form of longitudinal roll cells in the interior of the channel. Further increases in the rotation rate leads to a restabilization of the flow to a Taylor—Proudman regime. It is found that the roll-cell and Taylor—Proudman regimes lead to a substantial distortion of the axial-velocity profiles. The specific numerical results obtained are shown to be in excellent agreement with previously obtained experimental measurements and theoretical predictions.

Original languageEnglish (US)
Pages (from-to)377-395
Number of pages19
JournalJournal of Fluid Mechanics
Volume130
DOIs
StatePublished - Jan 1 1983

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secondary flow
Secondary flow
channel flow
Channel flow
cells
viscous fluids
laminar flow
Laminar flow
Navier-Stokes equation
Navier Stokes equations
Reynolds number
Vortex flow
velocity distribution
vortices
Fluids
predictions

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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abstract = "A numerical study is conducted on the pressure-driven laminar flow of an incompressible viscous fluid through a rectangular channel subjected to a spanwise rotation. The full nonlinear time-dependent Navier-Stokes equations are solved by a finite-difference technique for various rotation rates and Reynolds numbers in the laminar regime. At weak rotation rates, a double-vortex secondary flow appears in the transverse planes of the channel. For more rapid rotation rates, an instability occurs in the form of longitudinal roll cells in the interior of the channel. Further increases in the rotation rate leads to a restabilization of the flow to a Taylor—Proudman regime. It is found that the roll-cell and Taylor—Proudman regimes lead to a substantial distortion of the axial-velocity profiles. The specific numerical results obtained are shown to be in excellent agreement with previously obtained experimental measurements and theoretical predictions.",
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Numerical study of secondary flows and roll-cell instabilities in rotating channel flow. / Speziale, Charles G.; Thangam, Siva.

In: Journal of Fluid Mechanics, Vol. 130, 01.01.1983, p. 377-395.

Research output: Contribution to journalArticle

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