Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-27T11:38:28.165Z Has data issue: false hasContentIssue false

Soret-driven thermosolutal convection

Published online by Cambridge University Press:  29 March 2006

D. T. J. Hurle
Affiliation:
Royal Radar Establishment, Great Malvern, Worcs., U.K.
E. Jakeman
Affiliation:
Royal Radar Establishment, Great Malvern, Worcs., U.K.

Abstract

The suggestion made by the authors in a previous paper (Hurle & Jakeman 1969) that the Soret effect could give rise to overstable solutions of the thermosolutal Rayleigh–Jeffreys problem is investigated theoretically and experimentally.

Oscillatory instability is shown to occur in initially homogeneous layers of water-methanol mixtures when they are heated from below. This instability triggers a finite-amplitude steady mode. The magnitude and sign of the Soret coefficient was changed by varying the composition of the mixture; as predicted, overstable modes were observed when the sign of the coefficient was such as to produce a stabilizing contribution to the density gradient. The observed critical Rayleigh numbers and temporal frequencies are consistent with theory.

Type
Research Article
Copyright
© 1971 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

Baines, P. G. & Gill, A. E. 1969 J. Fluid Mech. 37, 289.
Block, M. J. 1956 Nature. Lond. 178, 650.
Busse, F. H. 1967 J. Fluid Mech. 28, 223.
Caldwell, D. R. 1970 J. Fluid Mech. 42, 161.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford: Clarendon.
Chandrasekhar, S. & Elbert, D. D. 1955 Proc. Roy. Soc. A, 231, 198.
De Groot, S. R. & Mazur, P. 1962 Non-equilibrium Thermodynamics. Amsterdam: North-Holland.
Fultz, D., Nagakawa, Y. & Frenzen, P. 1954 Phys. Rev. 94, 1471.
Harp, E. J. & Hurle, D. T. J. 1968 Phil. Mag. 17, 1033.
Hurle, D. T. J. 1966 Phil. Mag. 13, 305.
Hurle, D. T. J. & Jakeman, E. 1969 Phys. Fluids, 12, 2704.
Hurle, D. T. J., Jakeman, E. & Pike, E. R. 1967 Proc. Roy. Soc. A, 296, 469.
Jakeman, E. 1968 Phys. Fluids, 11, 10.
Krishnamurti, R. 1968 J. Fluid Mech. 33, 445, 457.
Krishnamurti, R. 1970 J. Fluid Mech. 42, 295, 309.
Legros, J. C., Rasse, D. & Thomaes, G. 1970 Chem. Phys. Lett. 4, 632.
Legros, J. C., Van Hook, W. A. & Thomaes, G. 1968 Chem. Phys. Lett. 1, 696.
Lodding, A. 1966 Z. Naturforsch. 21a, 1348.
Mitchell, W. T. & Quinn, J. A. 1966 A.I.Ch.E. J. 12, 1116.
Muller, A. & Wilhelm, M. 1964 Z. Naturforsch. 19a, 254.
Nield, D. A. 1967 J. Fluid Mech. 29, 545.
Pellew, A. & Southwell, R. V. 1940 Proc. Roy. Soc. A, 176, 312.
Sani, R. L. 1965 A.I.Ch.E. J. 11, 971.
Shirtcliffe, T. G. L. 1969 J. Fluid Mech. 35, 677.
Tichacek, L. J., Kmak, W. S. & Drickamer, H. G. 1956 J. Phys. Chem. 60, 660.
Utech, H. P. & Flemings, M. C. 1966 J. Appl. Phys. 37, 2021.
Verhoeven, J. D. 1969 Phys. Fluids, 12, 1733.
Veronis, G. 1965 J. Mar. Res. 23, 1.
Veronis, G. 1968 J. Fluid Mech. 34, 315.