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Titolo:
EFFECTS OF THERMAL NOISE IN TAYLOR-COUETTE FLOW WITH COROTATION AND AXIAL THROUGH-FLOW
Autore:
SWIFT JB; BABCOCK KL; HOHENBERG PC;
Indirizzi:
UNIV TEXAS,DEPT PHYS AUSTIN TX 78712 UNIV TEXAS,CTR NONLINEAR DYNAM AUSTIN TX 78712 AT&T BELL LABS MURRAY HILL NJ 07974 UNIV CALIF SANTA BARBARA,DEPT PHYS SANTA BARBARA CA 93106 UNIV CALIF SANTA BARBARA,CTR NONLINEAR SCI SANTA BARBARA CA 93106
Titolo Testata:
Physica. A
fascicolo: 1-4, volume: 204, anno: 1994,
pagine: 625 - 649
SICI:
0378-4371(1994)204:1-4<625:EOTNIT>2.0.ZU;2-P
Fonte:
ISI
Lingua:
ENG
Soggetto:
AMPLITUDE EQUATION; SUSTAINED STRUCTURE; INTERMITTENCY; INSTABILITY; CONVECTION; PATTERNS; SYSTEM;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Science Citation Index Expanded
Citazioni:
28
Recensione:
Indirizzi per estratti:
Citazione:
J.B. Swift et al., "EFFECTS OF THERMAL NOISE IN TAYLOR-COUETTE FLOW WITH COROTATION AND AXIAL THROUGH-FLOW", Physica. A, 204(1-4), 1994, pp. 625-649

Abstract

The intensity of the thermal noise force acting on the amplitude equation for corotating, Taylor-Couette cylinders near the threshold to Taylor vortices is calculated starting from the Navier-Stokes equation with Landau-Lifshitz noise sources. The noise is predicted to increase with increasing rotation frequency of the outer cylinder. In the limitof a small gap and equal rotation frequencies of inner and outer cylinders, the result is also shown to agree with the value obtained earlier for Rayleigh-Benard convection, with unit Prandtl number, where thetwo systems are identical. In the presence of axial through-flow the noise provides a mechanism for excitation of a permanent pattern of traveling Taylor vortices in the convectively unstable regime. Comparison with the noise intensity derived from experiments shows that the calculated value is smaller than the measured one by a factor of 270. An alternative calculation due to Lucke and Recktenwald leads to a smaller value of the noise. Both calculations are sensitive to the details of the flow at the inlet. where the model is highly idealized. A more realistic calculation is expected to give an even smaller value, but ithas not been attempted here. The predicted rise in noise strength with outer cylinder rotation frequency could be tested by experiments or by numerical simulations.

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Documento generato il 21/09/20 alle ore 18:03:04