Abstract
The dynamics of the crystallization front induced by the temperature gradient at the upper boundary of a horizontal layer of water bounded by flat thermostatted surfaces is studied. The formation and evolution of convective structures are visualized by methods of the Hilbert optics and digital video recording. The difference in the temperatures of the upper (T1) and lower (T2) thermostats satisfies the condition T1 < T2. In this system, the temperature of the cooled upper surface is an order parameter. Reaching a critical value of this parameter leads to a bifurcation phase transition from the liquid state (supercooled water) to the solid state (ice). The velocity and shape of the crystallization wave front are determined. The spatial-temporal state of the crystallization wave is found, in which the wave front shape is a line of equal velocities. The dynamic profile of the isothermal surface bounding the spatial shape of the solid phase is visualized.
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References
B. Gebhart, M. S. Bendell, and H. Shaukatullah, “Buoyancy Induced Flows Adjacent to Horizontal Surfaces in Water near its Density Extremum,” Intern. J. Heat Mass Transfer 22 (1), 137–149 (1979).
P. Welander, “Observation of Oscillatory Ice States in a Simple Convection Experiment,” J. Geophys. Res. 82, 2591–2592 (1977).
V. V. Golub, M. F. Ivanov, and M. E. Povarnotsin, “Hydrodynamic Instabilities during Plane Ice Front Thaw,” in Proc. of the Intern. Conf. “Stability and Instabilities of Stratified and/or Rotating Flows,” Moscow, 1997, pp. 41–43.
M. Lappa, Thermal Convection: Patterns, Evolution and Stability (John Wiley & Sons, Chichester, 2010).
Yu. A. Makashev and V. V. Kirillov, “Anomalous Properties of Water and Possibility of Using them for Energy Generation,” Vestn. Mezhd. Akad. Kholoda, No. 2, 32–34 (2013).
A. A. Vasil’ev, “Wave of the Water–Ice Phase Transition as a “Combustion” Wave,” Vestn. Nov. Gos. Univ., Ser. Matem. 12 (4), 16–20 (2012).
V. A. Arbuzov, E. V. Arbuzov, V. S. Berdnikov, et al., “Optical Diagnostics of the Structure and Evolution of Buoyant Jets in a High-Viscosity Fluid,” Avtometriya 50 (5), 47–55 (2014) [Optoelectron., Instrum. Data Process. 50 (5), 466–473 (2014)].
V. A. Arbuzov, E. V. Arbuzov, N. A. Dvornikov, et al., “Optical Diagnostics of Vortex Ring–Flame Interaction,” Avtometriya 52 (2), 66–72 (2016) [Optoelectron., Instrum. Data Process. 52 (2), 161–166 (2016)].
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Original Russian Text © V.A. Arbuzov, E.V. Arbuzov, Yu.N. Dubnishchev, V.S. Berdnikov, O.S. Melekhina, 2017, published in Avtometriya, 2017, Vol. 53, No. 2, pp. 39–44.
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Arbuzov, V.A., Arbuzov, E.V., Dubnishchev, Y.N. et al. Dynamics of the crystallization front induced by the temperature gradient at the upper boundary of a horizontal layer of a fluid. Optoelectron.Instrument.Proc. 53, 131–135 (2017). https://doi.org/10.3103/S8756699017020042
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DOI: https://doi.org/10.3103/S8756699017020042