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Stability and heat transfer of rotating cryogens. Part 2. Effects of rotation on heat-transfer properties of convection in liquid He

Published online by Cambridge University Press:  20 April 2006

J. M. Pfotenhauer ,
P. G. J. Lucas  and
R. J. Donnelly
J. M. Pfotenhauer
Affiliation:
Department of Physics, University of Oregon, Eugene, OR 97403
P. G. J. Lucas
Affiliation:
Department of Physics, University of Oregon, Eugene, OR 97403 Permanent address: Department of Physics, The University, Manchester M13 9 PL, England.
R. J. Donnelly
Affiliation:
Department of Physics, University of Oregon, Eugene, OR 97403
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Abstract

Heat-transfer measurements have been made in normal liquid He contained within a rotating, cylindrical, cryogenic Bénard cell with variable aspect ratio. Data are presented for a range of dimensionless angular velocities 0 ≤ Ω < 600 and Prandtl numbers 0.49 ≤ Pr < 0.76 and for three aspect ratios Γ of 7.81, 4.93 and 3.22. Where possible, comparisons are made with theoretical predictions and past experiments concerning heat transfer in rotating fluids.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 145 , August 1984 , pp. 239 - 252
Copyright
© 1984 Cambridge University Press

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References

Ahlers, G., Cross, M. C., Hohenberg, P. C. & Safran, S. 1981 The amplitude equation near the convective threshold: application to time-dependent heating experiments. J. Fluid Mech. 110, 297.Google Scholar
Behringer, R. P. & Ahlers, G. 1982 Heat transport and temporal evolution of fluid flow near the Rayleigh—Bénard instability in cylindrical containers. J. Fluid Mech. 125, 219.Google Scholar
Bevington, P. R. 1969 Data Reduction and Error Analysis for the Physical Sciences. McGraw-Hill..
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Clarendon.
Charlson, G. S. & Sani, R. L. 1975 Finite amplitude axisymmetric thermoconvective flows in a bounded cylindrical layer of fluid. J. Fluid Mech. 71, 209.Google Scholar
Clever, R. M. & Busse, F. H. 1979 Nonlinear properties of convection rolls in a horizontal layer rotating about a vertical axis. J. Fluid Mech. 94, 609.Google Scholar
Daniels, P. G. & Stewartson, K. 1977 On the spatial oscillations of a horizontally heated rotating fluid. Math. Proc. Camb. Phil. Soc. 81, 325.Google Scholar
Daniels, P. G. & Stewartson, K. 1978a On the spatial oscillations of a horizontally heated rotating fluid. II. Q. J. Mech. Appl. Maths 31, 113.Google Scholar
Daniels, P. G. & Stewartson, K. 1978b Overstable convection in a horizontally heated rotating fluid. Math. Proc. Camb. Phil. Soc. 83, 329.Google Scholar
Dropkin, D. & Globe, S. 1959 Effect of spin on natural convection in mercury heated from below. J. Appl. Phys. 30, 84.Google Scholar
Fultz, D. & Nakagawa, Y. 1955 Experiments on over-stable thermal convection in mercury. Proc. R. Soc. Lond. A 231, 211.Google Scholar
Homsy, G. M. & Hudson, J. L. 1971 Centrifugal convection and its effect on the asymptotic stability of a bounded rotating fluid heated from below. J. Fluid Mech. 48, 605.Google Scholar
Homsy, G. H. & Hudson, J. L. 1972 Stability of a radially bounded rotating fluid heated from below. Appl. Sci. Res. 26, 53.Google Scholar
Hudson, J. L., Tang, D. & Abell, S. 1978 Experiments on centrifugally driven thermal convection in a rotating cylinder. J. Fluid Mech. 86, 147.Google Scholar
Koschmieder, E. L. 1967 On convection on a uniformly heated rotating plane. Beitr. Phys. Atmos. 40, 216.Google Scholar
Küppers, G. 1970 The stability of steady finite amplitude convection in a rotating fluid layer. Phys. Lett. 32 A, 7.Google Scholar
Küppers, G. & Lortz, D. 1969 Transition from laminar convection to thermal turbulence in a rotating fluid layer. J. Fluid Mech. 35, 609.Google Scholar
Lucas, P. G. J., Pfotenhauer, J. M. & Donnelly, R. J. 1983 Stability and heat transfer of rotating cryogens. Part 1. Influence of rotation on the onset of convection in liquid 4He. J. Fluid Mech. 129, 251.Google Scholar
Rossby, H. T. 1969 A study of Bénard convection with and without rotation. J. Fluid Mech. 36, 309.Google Scholar
Sommerville, R. C. J. & Lipps, F. B. 1973 A numerical study in 3 space dimensions of Bénard convection in a rotating fluid. J. Atmos. Sci. 30, 590.Google Scholar
Veronis, G. 1958 Cellular convection with finite amplitude in a rotating fluid. J. Fluid Mech. 5, 26.Google Scholar
Veronis, G. 1966 Motions at subcritical values of the Rayleigh number in a rotating fluid. J. Fluid Mech. 24, 545.Google Scholar
Veronis, G. 1968 Large-amplitude Bénard convection in a rotating fluid. J. Fluid Mech. 31, 113.Google Scholar
Willis, G. E., Deardorff, J. W. & Sommerville, R. C. 1972 Roll-diameter dependence in Rayleigh convection and its effect upon the heat flux. J. Fluid Mech. 54, 351.Google Scholar