A Novel Model of Quasi-Stationary Vortices in the Earth’s Atmosphere

Onishchenko, O. G.; Pokhotelov, O. A.; Astafieva, N. M.

doi:10.1134/s0001433818080091

Cited by 4 publications

(6 citation statements)

References 21 publications

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“…A new low-parametric model of an exponentially localised vortex in space is described in [109]. This corresponds to an exact solution of the Euler equations for an incompressible fluid (the Navier-Stokes equations for inviscid fluid) [110]. Similar to the Burgers and Sullivan vortex there is an inwards radial flow concentrating vorticity in a narrow column around the axis of symmetry.…”

Section: Previous Modelsmentioning

confidence: 99%

“…In this model of CVs in a non-dissipative medium, the radial, vertical and toroidal components of the velocity are [109,110] v…”

Section: Model Of Concentrated Vortices In a Non-dissipative Mediummentioning

confidence: 99%

“…Unlike the Rankine and the Burgers vortices, the structures studied here have finite horizontal vorticity, where (see e.g., [109,110])…”

Section: Model Of Concentrated Vortices In a Non-dissipative Mediummentioning

confidence: 99%

“…Equations (9) and (10) show that both the vertical and horizontal vortices are exponentially localized in radial direction. Substituting expressions for the components of the velocity (6)- (8) into the equation of momentum conservation, we obtain an equation for pressure, (see e.g., [109,110])…”

Section: Model Of Concentrated Vortices In a Non-dissipative Mediummentioning

confidence: 99%

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Dust Devils: Structural Features, Dynamics and Climate Impact

Onishchenko

Fedun

Horton

et al. 2019

Climate

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According to modern concepts, the main natural sources of dust in the atmosphere are dust storms and associated dust devils—rotating columns of rising dust. The impact of dust and aerosols on climate change in the past, present and future is one of the poorly understood and, at the same time, one of the fundamental elements needed for weather and climate forecasting. The purpose of this review is to describe and summarise the results of the study of dust devils in the Earth’s atmosphere. Special attention is given to the description of the 3D structures, the external flows and atmospheric gradients of temperature that lead to the generation and maintenance of the dust devils.

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Section: Previous Modelsmentioning

confidence: 99%

“…In this model of CVs in a non-dissipative medium, the radial, vertical and toroidal components of the velocity are [109,110] v…”

Section: Model Of Concentrated Vortices In a Non-dissipative Mediummentioning

confidence: 99%

“…Unlike the Rankine and the Burgers vortices, the structures studied here have finite horizontal vorticity, where (see e.g., [109,110])…”

Section: Model Of Concentrated Vortices In a Non-dissipative Mediummentioning

confidence: 99%

Section: Model Of Concentrated Vortices In a Non-dissipative Mediummentioning

confidence: 99%

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Dust Devils: Structural Features, Dynamics and Climate Impact

Onishchenko

Fedun

Horton

et al. 2019

Climate

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“…In this regard, the search for more physical solutions of the hydrodynamic equations describing vortex flows fluid is an urgent task. The simplest model of a stationary concentrated vortex in an ideal incompressible fluid was studied previously by [37]. In this model, the vortex, as well as the Burgers and Sullivan vortex models, is localised in the radial direction, but not vertically localised.…”

Section: Introductionmentioning

confidence: 99%

The Stationary Concentrated Vortex Model

Onishchenko

Fedun

Horton

et al. 2021

Climate

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A new model of an axially-symmetric stationary concentrated vortex for an inviscid incompressible flow is presented as an exact solution of the Euler equations. In this new model, the vortex is exponentially localised, not only in the radial direction, but also in height. This new model of stationary concentrated vortex arises when the radial flow, which concentrates vorticity in a narrow column around the axis of symmetry, is balanced by vortex advection along the symmetry axis. Unlike previous models, vortex velocity, vorticity and pressure are characterised not only by a characteristic vortex radius, but also by a characteristic vortex height. The vortex structure in the radial direction has two distinct regions defined by the internal and external parts: in the inner part the vortex flow is directed upward, and in the outer part it is downward. The vortex structure in the vertical direction can be divided into the bottom and top regions. At the bottom of the vortex the flow is centripetal and at the top it is centrifugal. Furthermore, at the top of the vortex the previously ascending fluid starts to descend. It is shown that this new model of a vortex is in good agreement with the results of field observations of dust vortices in the Earth’s atmosphere.

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A generalized analytical viscous model for steady-state atmospheric vortices

Yadav,

Prasad Maurya,

Kumar Pandey

2024

Phys. Scr.

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This paper presents a generalised analytical viscous model for atmospheric vortices. All the velocity components are dependent on the radial and axial coordinates. The model begins with radial velocity derived by Onishchenko et al. (2021). The other components are derived from the governing equations. Rankine (1882) and Burgers (1948) models are used as the boundary condition for imposing cyclostrophic balance. All the velocity components of this model are bounded. The radial pressure is also deduced. Radial profiles of axial, azimuthal velocities and radial pressure are plotted. The azimuthal velocity derived with the Rankine model as the boundary condition shows a sharp turn at the core layer where it is maximum and increases with height, while the changes are smooth near the core and not necessarily maximum at the core for the Burgers boundary condition. The azimuthal component of velocity increases at lower altitudes but declines at higher ones. It shows a reverse trend in the inner and the outer regions close to the core radius. Further, radial velocity reduces in magnitude with height. In both cases, radial pressure is higher in the outer region but lessens gradually in the core to vanish at the axis. It also increases with height.

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A Novel Model of Quasi-Stationary Vortices in the Earth’s Atmosphere

Cited by 4 publications

References 21 publications

Dust Devils: Structural Features, Dynamics and Climate Impact

Dust Devils: Structural Features, Dynamics and Climate Impact

The Stationary Concentrated Vortex Model

A generalized analytical viscous model for steady-state atmospheric vortices

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