Abstract
A sinusoidal variation of the height of a convection channel gives rise to the onset of time dependent convection. The drift rate of the convection rolls is proportional to the amplitude of the modulation, to the sine of the phase difference between the modulation at the upper and lower boundary and to the amount of asymmetric properties of the convecting fluid such as the curvature in the temperature dependence of the density. These results have been obtained experimentally through the measurement of convection in an annular channel heated from below.
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References
Kelly, R.E., and Pal, D., 1978: Thermal Convection With Spatially Periodic Boundary Conditions: Resonant Wavelength Excitation, J. Fluid Mech. 86, 433–456
Pal, D., and Kelly, R.E., 1978: Thermal Convection With Spatially Periodic Nonuniform Heating: Nonresonant Wavelength Excitation, pp. 235–238 in “Heat Transfer 1978” (Proc. Int. Heat Transfer Conf.), Vol. 2.
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© 1990 Plenum Press, New York
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Hartung, G., Busse, F.H., Rehberg, I. (1990). Drifting Convection Rolls Induced by Spatial Modulation. In: Busse, F.H., Kramer, L. (eds) Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems. NATO ASI Series, vol 225. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5793-3_7
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DOI: https://doi.org/10.1007/978-1-4684-5793-3_7
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-5795-7
Online ISBN: 978-1-4684-5793-3
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