Abstract

The linear stability characteristics of non-isothermal flow in vertical annuli has been determined for two geometries. The analysis demonstrates that a fully developed mixed-convection flow in a vertical annulus is unstable in certain regions of an appropriate parameter space. Consequently, parallel countercurrent flows, predicted by previous numerical models and commonly used by engineers, are often physically unrealizable and can be observed experimentally only in special circumstances. In addition, it is found that the most unstable disturbances are often asymmetric in the parameter range of practical interest. The instability behaviour was also found to depend on whether the inner or outer cylinder was heated.

Original languageEnglish (US)
Pages (from-to)279-298
Number of pages20
JournalJournal of Fluid Mechanics
Volume201
StatePublished - Apr 1989

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Mixed convection
annuli
convection
parallel flow
Parallel flow
engineers
Numerical models
disturbances
Engineers
Geometry
geometry

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Linear stability of mixed convection in a vertical annulus. / Yao, L. S.; Rogers, Bradley.

In: Journal of Fluid Mechanics, Vol. 201, 04.1989, p. 279-298.

Research output: Contribution to journalArticle

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AB - The linear stability characteristics of non-isothermal flow in vertical annuli has been determined for two geometries. The analysis demonstrates that a fully developed mixed-convection flow in a vertical annulus is unstable in certain regions of an appropriate parameter space. Consequently, parallel countercurrent flows, predicted by previous numerical models and commonly used by engineers, are often physically unrealizable and can be observed experimentally only in special circumstances. In addition, it is found that the most unstable disturbances are often asymmetric in the parameter range of practical interest. The instability behaviour was also found to depend on whether the inner or outer cylinder was heated.

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