A computational model for the dynamic stabilization of Rayleigh- Bénard convection in a cubic cavity

Randy M. Carbo, Robert William Smith, Matthew E. Poese

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

The dynamic stability of Rayleigh-Bénard convection with vertical vibration in a cubic container is computationally modeled. Two parametric drives are considered (sinusoidal and rectangular), as well as two thermal boundary conditions on the sidewalls (insulating and conducting). The linearized equations are solved using a spectral Galerkin method and Floquet analysis. Both the synchronous and the subharmonic regions of instability are recovered. The conditions necessary for dynamic stability are reported for a range of Rayleigh numbers from critical to 107 and for Prandtl numbers in the range of 0.1-7. The linear model is compared to the data set available in the literature where the performance of an inverted pulse tube cryocooler is measured.

Original languageEnglish (US)
Pages (from-to)654-668
Number of pages15
JournalJournal of the Acoustical Society of America
Volume135
Issue number2
DOIs
StatePublished - Mar 20 2014

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

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