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Periodic oscillations in a model of thermal convection

Published online by Cambridge University Press:  28 March 2006

Joseph B. Keller
Joseph B. Keller
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, N.Y.
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Abstract

Periodic oscillations are found in a one-dimensional model of thermal convection. The model consists of a fluid-filled tube bent into rectangular shape and standing in a vertical plane. The fluid is heated at the centre of the lower horizontal segment and cooled at the centre of the upper horizontal segment. When a certain parameter exceeds unity, a periodic motion of the fluid is found in which the flow is always in the same direction but in which the speed varies. Inertia is unimportant for this oscillation, which depends upon the interplay between frictional and buoyancy forces.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 26 , Issue 3 , November 1966 , pp. 599 - 606
Copyright
© 1966 Cambridge University Press

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References

Welander, P. 1965 Steady and oscillatory motions of a differentially heated fluid loop, Woods Hole Oceanographic Institute. Ref. no. 65–48 (unpublished manuscript).