Effect of nonhydrostaticity on the final stage of instability in shallow water with a horizontally nonuniform density

Goncharov, V. P.; Павлов, В. И.

doi:10.1134/s0021364015070097

Cited by 3 publications

(2 citation statements)

References 9 publications

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“…In fact, the closer is a system to its collapse, the more is its deviation from hydrostatic approximation. For this reason, as shown in [18,19] (see also Fig. 5, taken from [19]), under the action of nonhydrostaticity the regime of blow-up instability slows down and goes into the regime of algebraic instability.…”

Section: Introductionmentioning

confidence: 92%

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Influence of cooling on dynamics of buoyant jet

Goncharov,

Pavlov

2016

Preprint

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The Rayleigh-Taylor instability which is responsible for the occurrence of narrow upward jets are studied in the scope of the nonhydrostatic model with horizontally-nonuniform density and the Newtonian cooling. As analysis shows, the total hierarchy of instabilities in this model consists of three regimes -collapse, algebraic instability, and inertial motion. Realization of these stages, mutual transitions and interference depend on a ratio between two characteristic time scalescollapse time and cooling time.

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Section: Introductionmentioning

confidence: 92%

“…We considered in previous works [18,19] an estimation two-layer (Fig. 3), non-hydrostatic, model with depthaveraged flow in the active (lower) layer, which governed by the set of equations…”

Section: Nonhydrostatic Model With Newtonian Coolingmentioning

confidence: 99%

Influence of cooling on dynamics of buoyant jet

Goncharov,

Pavlov

2016

Preprint

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Pulsating jet-like structures in magnetized plasma

Goncharov

Павлов

2016

Physics of Plasmas

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The formation of pulsating jet-like structures has been studied in the scope of the nonhydrostatic model of a magnetized plasma with horizontally nonuniform density. We discuss two mechanisms which are capable of stopping the gravitational spreading appearing to grace the Rayleigh-Taylor instability and to lead to the formation of stationary or oscillating localized structures. One of them is caused by the Coriolis effect in the rotating frames, and another is connected with the Lorentz effect for magnetized fluids. Magnetized jets/drops with a positive buoyancy must oscillate in transversal size and can manifest themselves as “radio pulsars.” The estimates of their frequencies are made for conditions typical for the neutron star's ocean.

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Dynamics of Upward Jets with Newtonian Cooling

Goncharov

Павлов

2018

J. Exp. Theor. Phys.

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Effect of nonhydrostaticity on the final stage of instability in shallow water with a horizontally nonuniform density

Cited by 3 publications

References 9 publications

Influence of cooling on dynamics of buoyant jet

Influence of cooling on dynamics of buoyant jet

Pulsating jet-like structures in magnetized plasma

Dynamics of Upward Jets with Newtonian Cooling

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