Summary
An investigation has been made of the instabilities of longitudinal convection rolls in a Couette flow which is heated from below. The instabilities occur either as stationary waves or as waves which propagate along the convection rolls. Neutral stability curves are presented as a function of Rayleigh and Reynolds numbers for a Prandtl number of 0.7. The disturbance energy budget is given for selected values of the Rayleigh and Reynolds numbers.
Zusammenfassung
Die Instabilitäten von longitudinalen Konvektionsrollen in einer ebenen Couette-Strömung, die von unten erhitzt wird, sind untersucht worden. Die Instabilitäten nehmen entweder die Form von stehenden Wellen an oder von Wellen, die sich entlang der Konvektionsrollen fortpflanzen. Die Kurven für marginale Stabilität sind als Funktion der Rayleigh-und Reynoldszahl dargestellt worden im Fall der Prandtlzahl 0.7. Das Energiebudget der Störungen wird für ausgewählte Werte der Rayleigh-und Reynoldszahl angegeben.
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Dedicated to Professor Nikolaus Rott on the occasion of his 60th birthday.
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Clever, R.M., Busse, F.H. & Kelly, R.E. Instabilities of longitudinal convection rolls in couette flow. Journal of Applied Mathematics and Physics (ZAMP) 28, 771–783 (1977). https://doi.org/10.1007/BF01603815
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DOI: https://doi.org/10.1007/BF01603815