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Numerical investigation of the natural convection of water in the neighborhood of the density inversion point for Grashof numbers up to 10\(^6\). (English. Russian original) Zbl 1175.76055
Fluid Dyn. 36, No. 6, 944-951 (2001); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2001, No. 6, 103-110 (2001).
Summary: The natural convection of fresh water in a square cell is considered at a temperature close to the density inversion temperature for Grashof numbers 2.9 \({\bullet}\) 10\(^{4}{\leqslant}\) Gr \({\leqslant}\) 10\(^6\). As a result of the numerical investigation, one steady-state and three self-oscillating regimes are found in addition to the three steady-state flows previously detected earlier and described for low Grashof numbers ( 0 \({\leqslant}\) Gr \({\leqslant}\) 2 \({\bullet}\)10\(^5\)). The basic characteristics of the unsteady flows are analyzed by means of the Fourier method, the fundamental oscillation frequencies are found, and the flow evolution and the variation of the oscillation characteristics with increase in the Gr number are considered.

76E06 Convection in hydrodynamic stability
76F65 Direct numerical and large eddy simulation of turbulence
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