Stability of natural convection in a vertical slot

The stability of natural convection of a viscous fluid in a vertical slot having isothermal side walls of different temperatures is investigated analytically. Both the conduction and boundary-layer régimes are found to be unstable with respect to stationary disturbances in the form of multicellular...

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Bibliographic Details
Published in:Journal of fluid mechanics 1969-03, Vol.36 (1), p.1-15
Main Authors: Vest, Charles M., Arpaci, Vedat S.
Format: Article
Language:English
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Summary:The stability of natural convection of a viscous fluid in a vertical slot having isothermal side walls of different temperatures is investigated analytically. Both the conduction and boundary-layer régimes are found to be unstable with respect to stationary disturbances in the form of multicellular secondary flows. Theoretical predictions of the critical Rayleigh number and of the form of the secondary flow are verified by experimental measurements.
ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112069001467