Viscosity-induced mode splitting and potential energy criterion for mode stability
This paper points out that viscosity can induce mode splitting in a uniform infinite cylinder of an incompressible fluid with self-gravitation, and that the potential energy criterion cannot be appropriate to all normal modes obtained, i.e., there will be stable modes with negative potential energy (..sigma..<0). Therefore the condition ..sigma..>0 is not necessary, although sufficient, for the stability of a mode in an incompressible static fluid or magnetohydrodynamics (MHD) system, which is a correction of both Hare's (Philos. Mag. 8, 1305 (1959)) and Chandrasekhar's (Hydrodynamic and Hydromagnetic Stability (Oxford U.P., Oxford, 1961), p. 604) stability criterion for a mode. These results can also be extended to compressible systems with a polytropic exponent.
- Research Organization:
- Institute of Mechanics, Academia Sinica, Beijing, People's Republic of China
- OSTI ID:
- 6067694
- Journal Information:
- Phys. Fluids A; (United States), Vol. 1:6
- Country of Publication:
- United States
- Language:
- English
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SUPERCONDUCTIVITY AND SUPERFLUIDITY
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FLUIDS
INSTABILITY
CHANDRASEKHAR THEORY
CYLINDERS
EQUILIBRIUM
GRAVITATION
INCOMPRESSIBLE FLOW
MAGNETOHYDRODYNAMICS
NORMAL-MODE ANALYSIS
POTENTIAL ENERGY
ROTATION
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TOTAL ENERGY SYSTEMS
VISCOSITY
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FLUID FLOW
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640410* - Fluid Physics- General Fluid Dynamics
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