Journal ArticleDOI
Formation of azimuthal flows driven by a mass source-sink system in a rotating paraboloid
M. A. Zhvaniya,M. V. Kalashnik,V. O. Kakhiani,Dzh. I. Nanobashvili,K. I. Patarashvili,S. Dzh. Tsakadze +5 more
TLDR
In this paper, the formation of azimuthal flows generated by a mass source-sink system in a shallow water layer on the surface of a rotating paraboloid is investigated theoretically and experimentally.Abstract:
The process of formation of azimuthal flows generated by a mass source-sink system in a shallow water layer on the surface of a rotating paraboloid is investigated theoretically and experimentally. The calculations are carried out within the framework of the shallow-water equations with allowance for bottom friction. Asymptotic solutions describing the process of establishment of steady-state azimuthal flows which takes place after instantaneous initiation of the source-sink system are constructed. It is shown that theory and experiment are in satisfactory agreement.read more
Citations
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Journal ArticleDOI
Topographic instability of flow in a rotating fluid
K. I. Patarashvili,Z. J. Tsakadze,M. V. Kalashnik,V. O. Kakhiani,R. J. Chanishvili,J. I. Nanobashvili,M. A. Zhvania +6 more
TL;DR: In this paper, the authors presented the results of experimental and theoretical studies on a stability of zonal geostrophic flows in the rotating layer of the shallow water in a special apparatus by Abastumani Astrophysical Observatory Georgian Academy of Science.
Journal ArticleDOI
Transition process in a fluid layer in a rotating paraboloid in response to a sudden change in its angular velocity
TL;DR: In this paper, the process of rigid body rotation state in a liquid layer in a rotating paraboloid upon a sudden increase in its angular velocity is studied theoretically and experimentally, and the theoretical study is performed within the framework of linear shallow water theory with account for the bottom Ekman friction.
References
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Journal ArticleDOI
On source-sink flows in a rotating fluid
TL;DR: In this paper, the effects of uniform rotation of the whole system with angular velocity about the z-axis when the normal component of u on the side walls is independent of z are investigated.
Journal ArticleDOI
Stability and vortex structures of quasi-two-dimensional shear flows
TL;DR: In this article, a review is devoted to the theoretical description and laboratory modeling of quasi-two-dimensional shear flows (including flows in thin layers of liquid and in rotating systems).
Journal ArticleDOI
Source-sink flows in a rotating annulus: a combined laboratory and numerical study
D. A. Bennetts,W. D. N. Jackson +1 more
TL;DR: In this paper, the authors consider the case of source-sink flow between the porous walls of a rapidly rotating annular container and numerical13 integrate the fill1 equations of motion in order to determine the complete structure of the secondary flow.
Journal ArticleDOI
Vortex Funnel Formation by a Mass Sink within the Shallow-Water Model
TL;DR: In this paper, the cyclostrophic balance approximation, i.e., the balance between pressure gradient and centrifugal force, is used to model the nonlinear process of development of a steady vortex flow regime (vortex funnel).
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