DOI: 10.1017/s002211207900015x. Instabilities of convection rolls in a fluid of moderate Prandtl number

Instabilities of convection rolls in a fluid of moderate Prandtl number

10.1017/s002211207900015x

Crossref journal-article

Cambridge University Press (CUP)

Journal of Fluid Mechanics (56)

Abstract

The instabilities of two-dimensional convection rolls in a horizontal fluid layer heated from below are investigated in the case when the Prandtl number is seven or lower. Two new mechanisms of instability are described theoretically as well as experimentally. The knot instability causes the transition to spoke-pattern convection at higher Rayleigh numbers while the skewed varicose instability accomplishes a change to larger horizontal wavelengths of the convection rolls. Both instabilities disappear in the limits of small and large Prandtl number. Although the experimental methods fail in realizing closely the infinitely conducting boundaries assumed in the theory, the observations agree in all qualitative aspects with the theoretical predictions.

Bibliography

Busse, F. H., & Clever, R. M. (1979). Instabilities of convection rolls in a fluid of moderate Prandtl number. Journal of Fluid Mechanics, 91(2), 319â335.

Authors 2

F. H. Busse (first)
R. M. Clever (additional)

References 10 Referenced 265

Moir, G. 1976 The stability of finite amplitude Bénard convection. Ph.D. thesis,Newcastleupon-Tyne Polytechnic.
Busse, F. H. & Whitehead, J. A. 1974 Oscillatory and collective instabilities in large Prandtl number convection.J. Fluid Mech. 60,67–79.
Whitehead, J. A. & Chan, G. L. 1976 Stability of Rayleigh-Bénard convection rolls and bimodal flow at moderate Prandtl number.Dyn. Atmos. Oceans 1,33–49.
Willis, G. E. , Deardorff, J. W. & Somerville, R. C. 1972 Roll-diameter dependence in Rayleigh convection and its effect upon the heat flux.J. Fluid Mech. 54,351–367.
Busse, F. H. 1967 On the stability of two-dimensional convection in a layer heated from below.J. Math. & Phys. 46,140–150.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford:Clarendon Press.
Chen, M. M. & Whitehead, J. A. 1968 Evolution of two-dimensional periodic Rayleigh convection cells of arbitrary wavenumbers.J. Fluid Mech. 31,1–15.
Busse, F. H. & Whitehead, J. A. 1971 Instabilities of convection rolls in a high Prandtl number fluid.J. Fluid Mech. 47,305–320.
Busse, F. H. 1972 The oscillatory instability of convection rolls in a low Prandtl number fluid.J. Fluid Mech. 52,97–112.
Clever, R. M. & Busse, F. H. 1974 Transition to time-dependent convection.J. Fluid Mech. 65,625–645.

Dates

Type	When
Created	19 years, 4 months ago (April 19, 2006, 9:39 a.m.)
Deposited	6 years, 4 months ago (March 30, 2019, 3:05 p.m.)
Indexed	1 week, 1 day ago (Aug. 19, 2025, 7:11 a.m.)
Issued	46 years, 5 months ago (March 23, 1979)
Published	46 years, 5 months ago (March 23, 1979)
Published Online	19 years, 4 months ago (April 19, 2006)
Published Print	46 years, 5 months ago (March 23, 1979)

Funders 0

None

BibTeX

@article{Busse_1979, title={Instabilities of convection rolls in a fluid of moderate Prandtl number}, volume={91}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s002211207900015x}, DOI={10.1017/s002211207900015x}, number={2}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Busse, F. H. and Clever, R. M.}, year={1979}, month=mar, pages={319–335} }

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