DOI: 10.1017/s0022112068000923. Convection in a box: on the dependence of preferred wave-number upon the Rayleigh number at finite amplitude

Convection in a box: on the dependence of preferred wave-number upon the Rayleigh number at finite amplitude

10.1017/s0022112068000923

Crossref journal-article

Cambridge University Press (CUP)

Journal of Fluid Mechanics (56)

Abstract

Using Stuart's shape assumption and a condition of maximum heat transport it is found that the preferred number of finite roll cells present in Bénard convection in athree-dimensional rectangular boxtends todecreasewith increasing supercritical Rayleigh number in contradiction to the behaviour in an infinite layer but in accordance with experimental observation.This ‘end effect’ might explain the similar observation of wave-number decrease in the Taylor instability between rotating cylinders.

Bibliography

Davis, S. H. (1968). Convection in a box: on the dependence of preferred wave-number upon the Rayleigh number at finite amplitude. Journal of Fluid Mechanics, 32(3), 619â624.

Authors 1

Stephen H. Davis (first)

References 7 Referenced 28

Koschmieder, E. L. 1966 Beitr. Phys. Atmos. 39,1. (10.1088/0031-9120/1/1/308)
Davis, S. H. 1967 J. Fluid Mech. 30,465. (10.1017/S0022112067001545)
Davey, A. 1962 J. Fluid Mech. 14,3. (10.1017/S0022112062001287)
Coles, D. 1965 J. Fluid. Mech. 21,3. (10.1017/S0022112065000241)
Krishnamurti, R. 1967 Doctoral dissertation,Institute of Geophysics and Planetary Physics, U.C.L.A.,Los Angeles, California.
SCHLÜTER, A. , Lortz, D. & Busse, F. 1965 J. Fluid Mech. 23,1. (10.1017/S0022112065001209)
Stuart, J. T. 1958 J. Fluid Mech. 4,1. (10.1017/S0022112058000276)

Dates

Type	When
Created	19 years, 5 months ago (March 28, 2006, 8:52 a.m.)
Deposited	1 year, 6 months ago (Feb. 3, 2024, 8:51 a.m.)
Indexed	2 months, 1 week ago (June 21, 2025, 5:42 a.m.)
Issued	57 years, 3 months ago (May 24, 1968)
Published	57 years, 3 months ago (May 24, 1968)
Published Online	19 years, 5 months ago (March 28, 2006)
Published Print	57 years, 3 months ago (May 24, 1968)

Funders 0

None

BibTeX

@article{Davis_1968, title={Convection in a box: on the dependence of preferred wave-number upon the Rayleigh number at finite amplitude}, volume={32}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s0022112068000923}, DOI={10.1017/s0022112068000923}, number={3}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Davis, Stephen H.}, year={1968}, month=may, pages={619–624} }

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