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This article is cited in 2 scientific papers (total in 2 papers)
Self-gravitating stability of a rotating fluid layer
A. A. Hasan College of Engineering and Technology, Arab Academy for Science and Technology and Maritime Transport (AASTMT), Aswan, Egypt
Abstract:
The self-gravitating instability of the present model is discussed by using a simple linear theory. The problem is formulated for a rotating fluid layer, and a dispersion relation valid for all kinds of perturbations is derived and discussed. The self-gravitating force is found to be a destabilizing factor for a small range of wavenumbers, while it is stabilizing in other ranges, depending on the density ratio of the fluids. For high values of the angular velocity, the rotational force produces a stabilizing effect and can suppress the self-gravitating instability. In the absence of the self-gravitating force, the model of a rotating fluid layer is marginally stable.
Keywords:
self-gravitating, rotation, superposed fluids.
Received: 29.01.2015
Citation:
A. A. Hasan, “Self-gravitating stability of a rotating fluid layer”, Prikl. Mekh. Tekh. Fiz., 57:6 (2016), 64–69; J. Appl. Mech. Tech. Phys., 57:6 (2016), 1016–1021
Linking options:
https://www.mathnet.ru/eng/pmtf769 https://www.mathnet.ru/eng/pmtf/v57/i6/p64
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Abstract page: | 33 | Full-text PDF : | 11 |
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