Rapidly rotating cylinder flow with an oscillating sidewall

Juan Lopez, Francisco Marques

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We present numerical simulations of a flow in a rapidly rotating cylinder subjected to a time-periodic forcing via axial oscillations of the sidewall. When the axial oscillation frequency is less than twice the rotation frequency, inertial waves in the form of shear layers are present. For very fast rotations, these waves approach the form of the characteristics predicted from the linearized inviscid problem first studied by Lord Kelvin. The driving mechanism for the inertial waves is the oscillating Stokes layer on the sidewall and the corner discontinuities where the sidewall meets the top and bottom end walls. A detailed numerical and theoretical analysis of the internal shear layers is presented. The system is physically realizable, and attractive because of the robustness of the Stokes layer that drives the inertial waves but beyond that does not interfere with them. We show that the system loses stability to complicated three-dimensional flow when the sidewall oscillation displacement amplitude is very large (of the order of the cylinder radius), but this is far removed from the displacement amplitudes of interest, and there is a large range of governing parameters which are physically realizable in experiments in which the inertial waves are robust. This is in contrast to many other physical realizations of inertial waves where the driving mechanisms tend to lead to instabilities and complicate the study of the waves. We have computed the response diagram of the system for a large range of forcing frequencies and compared the results with inviscid eigenmodes and ray tracing techniques.

Original languageEnglish (US)
Article number013013
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume89
Issue number1
DOIs
StatePublished - Jan 17 2014

Fingerprint

rotating cylinders
Rotating
shear layers
Oscillation
Stokes
oscillations
Periodic Forcing
three dimensional flow
Kelvin
Three-dimensional Flow
Ray Tracing
tracing
ray tracing
Range of data
Forcing
numerical analysis
Numerical Analysis
Discontinuity
Theoretical Analysis
discontinuity

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Rapidly rotating cylinder flow with an oscillating sidewall. / Lopez, Juan; Marques, Francisco.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 89, No. 1, 013013, 17.01.2014.

Research output: Contribution to journalArticle

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