The influence of inner-wall motion on the linear stability of natural convection in a tall vertical annulus

J. C. Chen, G. H. Chou, C. K. Hsieh

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Abstract

The linear stability of natural convection in a tall vertical annulus with inner-cylinder motion was studied. The results show that the stability characteristics are significantly modified by the inner-cylinder motion. For a small Prandtl number fluid with a smaller radius ratio, the shear instability is dominant and the non-axisymmetric disturbance (m = 1) is most unstable no matter in which direction the inner cylinder is moving. For higher downward motion, the non-axisymmetric mode (m = 2) may replace modes m = 0 and 1 for some radius ratios. For higher Prandtl number fluids, the most unstable mechanism switches from a buoyant mode generated by the boundary layer near the outer cylinder to a buoyant mode induced by the boundary layer near the inner cylinder with an increase of curvature as the inner cylinder is moving.

Original languageEnglish
Pages (from-to)193-201
Number of pages9
JournalInternational Journal of Heat and Mass Transfer
Volume39
Issue number1
DOIs
StatePublished - Jan 1996

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