Abstract:
Using information theory, a new variational principle for incompressible fluids is derived. This principle is similar to a known plasma stability criterion which has successfully been applied to study the stability of different steady flows. Its main advantages, when compared to traditional methods, are: (1) to obtain the stability of a given equilibrium, only the equilibrium configuration is required, and (2) the simplicity of the calculation involved.
Registro:
Documento: |
Artículo
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Título: | Variational study of steady flows stability in incompressible fluids |
Autor: | González, R.; Sicardi-Schifino, A.C.; Sarasua, L.G. |
Ciudad: | Amsterdam |
Filiación: | Departamento de Física, Fac. Cie. Exact., y Nat., Univ. B., Buenos Aires, Argentina Inst. Astronomia y Fis. del Espacio, C C No 67, Sucursal 28, (1428), Buenos Aires, Argentina Instituto de Física, Fac. Cie., Univ. Rep., CC 10773, C., Montevideo, Uruguay Instituto de Física, Fac. Ing., Univ. Rep., CC No 30, C., Montevideo, Uruguay
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Palabras clave: | Entropy; Information theory; Plasma stability; Steady flow; Variational techniques; Hydrodynamic stability; Thermodynamic approach; Incompressible flow |
Año: | 2000
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Volumen: | 286
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Número: | 3
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Página de inicio: | 435
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Página de fin: | 446
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DOI: |
http://dx.doi.org/10.1016/S0378-4371(00)00348-4 |
Título revista: | Physica A: Statistical Mechanics and its Applications
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Título revista abreviado: | Phys A Stat Mech Appl
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ISSN: | 03784371
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CODEN: | PHYAD
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v286_n3_p435_Gonzalez |
Referencias:
- Minardi, E., Statistical thermodynamics of collisionless plasma - I (1972) Plasma Phys., 14, p. 427
- Minardi, E., Thermodynamics of the magnetic equilibria of a semi-collisionless plasma (1981) J. Plasma Phys., 25, p. 413
- Minardi, E., The thermodynamics of Vlasov equilibria (1985) J. Plasma Phys., 33, p. 359
- Minardi, E., Lampis, G., Maximum entropy Tokamak configurations (1990) Plasma Phys. Control Fusion, 32, p. 819
- Minardi, E., Thermodynamics of Vlasov equilibria (1992) J. Plasma Phys., 48, p. 281
- Minardi, E., Plasma transport in Tokamaks (1993) Plasma Phys. Control Fusion, 35, p. 1669
- Arnol'D, V.I., Sur un principe variationnel pour les coulements stationnaires des liquides parfaits et ses applications aux problèmes de stabilité non-linéaires (1966) J. Méc., 5, p. 29
- Moffatt, H.K., Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 2. Stability considerations (1986) J. Fluid Mech., 166, p. 359
- Davidson, P.A., On the application of the Kelvin-Arnol'd energy principle to the stability of forced two-dimensional inviscid flows (1998) J. Fluid Mech., 356, p. 221
- Landau, L., Lifchitz, E., (1971) Mécanique des Fluides (MIR)
- Faber, T.E., (1995) Fluid Dynamics for Physicists, , Cambridge: Cambridge University Press
- Batchelor, G.K., Gill, A.E., Analysis of the stability of axisymmetric jets (1962) J. Fluid Mech., 14, p. 529
- Leibovich, S., Stewartson, K., A sufficient condition for the instability of columnar vortices (1983) J. Fluid Mech., 126, p. 335
- Chandrasekhar, S., (1961) Hydrodynamic and Hydromagnetic Stability, , Oxford: Clarendon Press
- Sicardi Schifino, A.C., González, R., Ferro Fontán, C., On the equivalence of thermodynamical approaches to plasma stability (1989) Phys. Lett. a, 137, p. 44
Citas:
---------- APA ----------
González, R., Sicardi-Schifino, A.C. & Sarasua, L.G.
(2000)
. Variational study of steady flows stability in incompressible fluids. Physica A: Statistical Mechanics and its Applications, 286(3), 435-446.
http://dx.doi.org/10.1016/S0378-4371(00)00348-4---------- CHICAGO ----------
González, R., Sicardi-Schifino, A.C., Sarasua, L.G.
"Variational study of steady flows stability in incompressible fluids"
. Physica A: Statistical Mechanics and its Applications 286, no. 3
(2000) : 435-446.
http://dx.doi.org/10.1016/S0378-4371(00)00348-4---------- MLA ----------
González, R., Sicardi-Schifino, A.C., Sarasua, L.G.
"Variational study of steady flows stability in incompressible fluids"
. Physica A: Statistical Mechanics and its Applications, vol. 286, no. 3, 2000, pp. 435-446.
http://dx.doi.org/10.1016/S0378-4371(00)00348-4---------- VANCOUVER ----------
González, R., Sicardi-Schifino, A.C., Sarasua, L.G. Variational study of steady flows stability in incompressible fluids. Phys A Stat Mech Appl. 2000;286(3):435-446.
http://dx.doi.org/10.1016/S0378-4371(00)00348-4