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Convection in boxes: an experimental investigation in vertical cylinders and annuli

Published online by Cambridge University Press:  29 March 2006

K. Stork  and
U. Müller
K. Stork
Affiliation:
Lehrstuhl für Strömungslehre, Universität Karlsruhe, Germany
U. Müller
Affiliation:
Lehrstuhl für Strömungslehre, Universität Karlsruhe, Germany
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Abstract

Convective flow of the cellular type has been investigated in vertical cylinders of axisymmetric and annular shape. The critical Rayleigh numbers were determined as functions of the box diameter and the gap width respectively. A distinct influence of side walls with different thermal conductivities was observed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 71 , Issue 2 , 23 September 1975 , pp. 231 - 240
Copyright
© 1975 Cambridge University Press

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References

Bénard, H. 1900 Les tourbillons cellulaires dans nappe liquide transportant de la chaleur par convection en régime permanent. Rev. Gen. Sci. Pure Appl. 11, 1261–1271, 1309–1328.Google Scholar
Catton, I. 1972 Effect of wall conduction on the stability of a fluid in a rectangular region heated from below. J. Heat Transfer, C94, 446–452.Google Scholar
Charlson, G. S. & Sani, R. L. 1970 Thermoconvective instability in a bounded cylindrical fluid layer. Int. J. Heat Mass Transfer, 13, 1479–1496.Google Scholar
Charlson, G. S. & Sani, R. L. 1975 Thermoconvective instability in a bounded cylindrical fluid layer. Int. J. Heat Mass Transfer, 14, 2157–2160.Google Scholar
Charlson, G. S. & Sani, R. L. 1975 Finite amplitude axisymmetric thermoconvective flows in a bounded cylindrical layer of fluid J. Fluid Mech. 71, 209–229.Google Scholar
Davis, S. H. 1967 Convection in a box: linear theory. J. Fluid Mech. 30, 465–678.Google Scholar
Joseph, D. D. 1971 Stability of convection in containers of arbitrary shape. J. Fluid Mech. 47, 257–282.Google Scholar
Koschmieder, E. L. 1966a On convection on a uniformly heated plane. Beitr. Phys. Atmos. 39, 1–11.Google Scholar
Koschmieder, E. L. 1966b On convection on a non-uniformly heated plane. Beitr. Phys. Atmos. 39, 208–216.Google Scholar
Koschmieder, E. L. 1974 Bénard convection. Adv. in Chem. Phys. 26, 177–211.Google Scholar
Koschmieder, E. L. & Pallas, S. G. 1974 Heat transfer through a shallow horizontal convecting fluid layer. Int. J. Heat Mass Transfer, 17, 991–1002.Google Scholar
Liang, S. F., Vidal, A. & Acrivos, A. 1969 Buoyancy-driven convection in cylindrical geometries. J. Fluid Mech. 36, 239–253.Google Scholar
Müller, U. 1965 Untersuchungen an rotationssymmetrischen Zellularkonvektions-strömungen II. Beitr. Phys. Atmos. 38, 9–22.Google Scholar
Müller, U. 1966 Über Zellularkonvektionsströmungen in horizontalen Flüssigkeits-schichten mit ungleichmäßig erwärmter Bodenfläche. Beitr. Phys. Atmos. 39, 217–234.Google Scholar
Pallas, S. G. 1972 Heat transfer and wavelength measurement for axisymmetric flow of a fluid heated from below. Ph.D. thesis, University of Texas, Austin.
Rayleigh, Lord 1916 On convection currents in a horizontal layer of fluid when the higher temperature is on the underside. Phil. Mag. 32, 529–546.Google Scholar
Stork, K. & MÜLLER, U. 1972 Convection in boxes: experiments. J. Fluid Mech. 54, 599–611.Google Scholar
Weber, J. E. 1973 On thermal convection between non-uniformly heated planes. Int. J. Heat Mass Transfer, 16, 961–970.Google Scholar