Thermal instability of nonlinearly stratified fluids

J. E. Gatica, H. J. Viljoen, V. Hlavacek

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The problem of thermal instabilities in nonlinearly stratified fluids is analyzed. When a fluid layer is subject to an initial nonlinear temperature distribution, a distribution of the critical conditions for the onset of secondary flows results. At the onset of instabilities, convective cells will develop locally in the system. These modes are better represented by local eigenfunctions than global ones. A linear stability analysis is performed and dispersion relations are reported. Analytical predictions are confirmed by numerical results. The examples analyzed also indicate that the role of certain system parameters as stabilizing/destabilizing factors can be reversed for different geometries.

Original languageEnglish (US)
Pages (from-to)673-686
Number of pages14
JournalInternational Communications in Heat and Mass Transfer
Volume14
Issue number6
DOIs
StatePublished - Jan 1 1987

Fingerprint

thermal instability
Linear stability analysis
secondary flow
Fluids
fluids
Secondary flow
Eigenvalues and eigenfunctions
eigenvectors
Temperature distribution
temperature distribution
Geometry
geometry
predictions
cells
Hot Temperature

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

Cite this

Thermal instability of nonlinearly stratified fluids. / Gatica, J. E.; Viljoen, H. J.; Hlavacek, V.

In: International Communications in Heat and Mass Transfer, Vol. 14, No. 6, 01.01.1987, p. 673-686.

Research output: Contribution to journalArticle

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