This article is cited 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.

UDC: 532.5

Received: 29.01.2015

DOI: 10.15372/PMTF20160608

 English version: Journal of Applied Mechanics and Technical Physics, 2016, 57:6, 1016–1021

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