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Penetrative convection in a horizontal layer of seawater near its freezing point. (English) Zbl 1013.76079

From the summary: A series of numerical experiments are performed to investigate steady thermosolutal convection induced by partial freezing of a horizontal pool of seawater from the top. This study is aimed at achieving a better understanding of the role of convection in transporting oceanic heat into the atmosphere during the formation of a polynya. The mathematical model accounts for the density anomaly of seawater and for the dependence of freezing point on salinity. A new solutal regime is isolated, wherein solutal convection is present even though the solutal expansion coefficient is zero. This convection process arises as a result of the coupling between the fluctuations of temperature and salinity at the ice-water interface. A parametric study is undertaken for the main dimensionless groups characterizing the problem.

MSC:

76R10 Free convection
76M20 Finite difference methods applied to problems in fluid mechanics
86A05 Hydrology, hydrography, oceanography
80A20 Heat and mass transfer, heat flow (MSC2010)
80A22 Stefan problems, phase changes, etc.
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References:

[1] Gordon, A. L.; Comiso, J. C., Polynyas in the southern ocean, Sci. Am., 258, 90-97 (1988)
[2] Kerr, R. C.; Woods, A. W.; Worster, M. G.; Huppert, H. E., Disequilibrium and macrosegregation during solidification of a binary melt, Nature, 340, 357-362 (1989)
[3] Turner, J. S.; Huppert, H. E.; Sparks, R. S.J., Komatiites II: experimental and theoretical investigations of post-emplacement cooling and crystallization, J. Petrology, 27, 397-437 (1986)
[4] Hadji, L.; Jin, X., Penetrative convection induced by the freezing of seawater, Int. J. Heat Mass Transfer, 39, 3823-3834 (1996) · Zbl 0968.76591
[5] N.P. Fofonoff, R.C. Millard, Algorithms for computation of fundamental properties of seawater, Unesco technical papers in marine science, No. 44, 1983; N.P. Fofonoff, R.C. Millard, Algorithms for computation of fundamental properties of seawater, Unesco technical papers in marine science, No. 44, 1983
[6] Veronis, G., Penetrative convection, Astrophysical J., 137, 641-663 (1962) · Zbl 0123.46103
[7] Busse, F. H., Nonlinear properties of convection, Rep. Prog. Phys., 41, 1929-1967 (1978)
[8] J.A. Schetz, A.E. Fuhs, (Eds.), Handbook of Fluid Dynamics and Fluid Machinery, Table 2.11, John Wiley, 1996, pp. 91-128; J.A. Schetz, A.E. Fuhs, (Eds.), Handbook of Fluid Dynamics and Fluid Machinery, Table 2.11, John Wiley, 1996, pp. 91-128
[9] R. Peyret, T.D. Taylor, Computational Methods for Fluid Flow, Springer, New York, 1983, pp. 349-351; R. Peyret, T.D. Taylor, Computational Methods for Fluid Flow, Springer, New York, 1983, pp. 349-351 · Zbl 0514.76001
[10] Anderson, D. A.; Tannehill, J. C.; Pletcher, R. H., Computational Fluid Mechanics and Heat Transfer (1984), Hemisphere: Hemisphere New York · Zbl 0569.76001
[11] Prakash, C.; Patankar, S. V., Combined free and forced convection in vertical tubes with radial internal fins, J. Heat Transfer, Trans. ASME, 103, 566-572 (1981)
[12] Huppert, H. E.; Moore, D. R., Nonlinear double-diffusive convection, J. Fluid Mech., 78, 821-854 (1976) · Zbl 0353.76028
[13] Rossby, H. T., A study of Bénard convection with and without rotation, J. Fluid Mech., 36, 309-335 (1969)
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