Convective instability of a rotating fluid
作者： G. F. Shaidurov , M. I. Shliomis , G. V. Yastrebov
DOI: 10.1007/BF01032475
关键词: Classical mechanics 、 Mechanics 、 Physical system 、 Thermodynamic equilibrium 、 Mechanical equilibrium 、 Convective instability 、 Isothermal process 、 Rotation around a fixed axis 、 Constant angular velocity 、 Gravitational field 、 Physics
摘要: A physical system may be in thermodynamic equilibrium when participating as a whole uniform rotational motion [1]. In particular, mechanical of liquid cavity rotating about stationary axis with the constant angular velocity Ω (“solid-body” rotation liquid) is possible. If composition and isothermal, then such equilibrium, shown [2], stable for all Ω. However, case nonuniformly heated liquid, stability solid-state is, generally speaking, impossible.
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sci-hub.se 参考文章(6)
S. Chandrasekhar, CXXXI. On the inhibition of convection by a magnetic field : II Philosophical Magazine Series 1. ,vol. 43, pp. 1177- 1191 ,(1952) , 10.1080/14786440508520205
V.S Sorokin, Nonlinear phenomena in closed flows near critical Reynolds numbers Journal of Applied Mathematics and Mechanics. ,vol. 25, pp. 366- 381 ,(1961) , 10.1016/0021-8928(61)90071-5
M.I Shliomis, Stability of a rotating liquid heated from below with respect to periodic perturbations Journal of Applied Mathematics and Mechanics. ,vol. 26, pp. 384- 391 ,(1962) , 10.1016/0021-8928(62)90068-0
The Instability of a Layer of Fluid Heated below and Subject to Coriolis Forces. II Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 231, pp. 198- 210 ,(1955) , 10.1098/RSPA.1955.0166
On Maintained Convective Motion in a Fluid Heated from below Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 176, pp. 312- 343 ,(1940) , 10.1098/RSPA.1940.0092
S. Chandrasekhar, On the inhibition of convection by a magnetic field Taylor and Francis Group. ,(1952)