Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-05-04T16:12:30.479Z Has data issue: false hasContentIssue false
  • English
  • Français

Thermal convection in a horizontal fluid layer with uniform volumetric energy sources

Published online by Cambridge University Press:  29 March 2006

F. A. Kulacki  and
R. J. Goldstein
F. A. Kulacki
Affiliation:
Department of Mechanical Engineering, The Ohio State University
R. J. Goldstein
Affiliation:
Department of Mechanical Engineering, University of Minnesota
Get access Rights & Permissions [Opens in a new window]

Abstract

Energy transport at Rayleigh numbers up to 675 times the critical (linear stability theory) value is measured in a layer of dilute electrolyte bounded horizontally by two rigid planes of constant and equal temperature; Joule heating by an alternating current passing horizontally through the layer provides the volumetric energy source. Horizontally averaged temperature profiles are determined optically. Mean temperature distributions are asymmetric at elevated Rayleigh numbers, the energy transport at the upper boundary being more than twice that at the lower boundary. Three regimes of flow are identified and discrete transitions in the energy transport appear to exist when the flow is turbulent. Extrapolation of the data to the conduction value of the Nusselt number yields a critical Rayleigh number which is within + 10·7% of linear theory values. No subcritical convection is observed when finite amplitude disturbances are introduced into the fluid at a Rayleigh number between the critical values predicted by the linear stability theory and energy theory respectively.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 55 , Issue 2 , 26 September 1972 , pp. 271 - 287
Copyright
© 1972 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bethe, H. A. 1968 Science, 161, 451.
French, K. W. 1968 MS thesis, University of Minnesota.
Goldstein, R. J. 1968 Optical Measurements of temperature. Heat Transfer Lab. Rep. Mech. Eng. Dept., University of Minnesota: HTL 86. (See also Eckert, E. R. G. & Goldstein, R. J. (eds.) 1970 Measurement techniques in heat transfer. AGARDo-graph, no. 130 (with errata), pp. 177–228.)Google Scholar
Knopoff, L. 1967 The Earth's Mantle (ed. T. F. Gaskell), chap. 8. Academic.
Krishnamurti, R. 1970 J. Fluid Mech. 42, 2, 295.
Kulacki, F. A. 1971 Ph.D. thesis, University of Minnesota.
Malkus, W. V. R. 1954 Proc. Roy. Soc. A 255, 185.
Novotny, J. L. 1963 Ph.D. thesis, University of Minnesota.
Runcorn, S. K. 1962 Nature, 195, 1248.
Schwiderski, E. W. & Schwab, H. J. A. 1971 J. Fluid Mech. 48, 703.
Tozer, D. C. 1966 Proc. Roy. Soc. A 258, 252.
Tritton, D. J. & Zarraga, M. N. 1967 J. Fluid Mech. 30, 21.
Wilkie, D. & Fisher, S. A. 1963 Proc. Instn. Mech. Engrs. 178, 461.
Willis, G. E. & Deardorff, J. W. 1967 Phys. Fluids, 10, 1861.