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The onset of cellular convection in a fluid layer with time-dependent density gradients

  • L. M. Blair (a1) and J. A. Quinn (a1)

Onset times for convection induced by buoyancy forces have been measured. Results on three aqueous systems are summarized in terms of a critical value for a time-dependent Rayleigh number. Because of the presence of minute traces of unavoidable surface-active contaminants, a ‘free’ water surface behaved as if it were inflexible and laterally rigid so far as determining first convective motion was concerned. The form of the onset motion was observed with schlieren photography for both top and side view. The pattern at onset was frequently in the form of plunging rings. Surface effects were demonstrated with an organic liquid layer in which onset times were measured for convection driven by surface tension gradients as well as by buoyancy forces. The data are compared with some recent predictions of linear stability analyses.

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Berg, J. C. & Acrivos, A. 1965 Chem. Engng. Sci. 20. 737.
Berg, J. C., Boudart, M. & Acrivos, A. 1966 J. Fluid Mech. 24, 721.
Blair, L. M. 1968 Ph.D. Thesis, University of Illinoi, Urbana.
Blair, L. M. & Quinn, J. A. 1968 Rev. Sci. Inst. 39, 75.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford: Clarendon Press.
Chiang, S. H. & Toor, H. L. 1964 A.I.Ch.E.J. 10, 398.
Currie, I. G. 1967 J. Fluid Mech. 29, 337.
Davies, J. T. & Rideal, E. K. 1961 Interfacial Phenomena. New York: Academic Press.
Foster, T. D. 1965a Phys. Fluids, 8, 1249.
Foster, T. D. 1965b Phys. Fluids, 8, 1770.
Foster, T. D. 1968 Phys. Fluids, 11, 1257.
Hickman, K. C. D. 1952 Ind. Engng. Chem. 44, 1892.
Lick, W. 1965 J. Fluid Mech. 21, 565.
Mahler, E. G., Schechter, R. S. & Wissler, E. H. 1968 Phys. Fluids, 11, 1901.
Merson, R. L. & Quinn, J. A. 1965 A.I.Ch.E. J. 11, 391.
Morton, B. R. 1957 Quart. J. Mech. Appl. Math. 10, 433.
Nield, D. A. 1964 J. Fluid Mech. 19, 341.
Plevan, R. E. & Quinn, J. A. 1966 A.I.Ch.E. J. 12, 894.
Quinn, J. A. & Blair, L. M. 1967 Nature, Lond. 214, 907.
Robinson, L. 1967 J. Fluid Mech. 29, 461.
Scanlon, J. W. & Segel, L. A. 1967 J. Fluid Mech. 30, 149.
Segel, L. A. 1966 Non-equilibrium Thermodynamics, Variational Techniques, and Stability. University of Chicago Press.
Spangenberg, W. G. & Rowland, W. R. 1961 Phys. Fluids, 4, 743.
Sternling, C. V. & Scriven, L. E. 1964 J. Fluid Mech. 19, 321.
Timmermanns, J. 1959 Physico-Chemical Constants of Binary Systems. New York: Interscience.
Vidal, A. & Acrivos, A. 1968 Ind. Engng. Chem. Fund. 7, 53.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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