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Stability of the advective flow in a rotating horizontal fluid layer. (English. Russian original) Zbl 1004.76028

Fluid Dyn. 34, No. 4, 457-464 (1999); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 1999, No. 4, 3-11 (1999).
Summary: Using the network method, we investigate numerically the behavior of three-dimensional finite-amplitude disturbances of the advective flow generated by a constant longitudinal temperature gradient in a rotating horizontal fluid layer. At a fixed Prandtl number (Pr=56.7), neutral curves are obtained for various values of Taylor number. We also consider the behavior of finite-amplitude disturbances of advective flow beyond the stability threshold, and analyze stability of two-dimensional disturbances under rapid rotation.

MSC:

76E07 Rotation in hydrodynamic stability
76M20 Finite difference methods applied to problems in fluid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
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