Skip to Main content Skip to Navigation
Journal articles

Supercritical Eckhaus Instability for Surface-Tension-Driven Hydrothermal Waves

Nathalie Mukolobwiez 1 Arnaud Chiffaudel 1 François Daviaud 1, 2 
2 SPHYNX - Systèmes Physiques Hors-équilibre, hYdrodynamique, éNergie et compleXes
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
Abstract : We study the nonlinear dynamics of hydrothermal waves produced by a surface-tension-driven convective flow in a long and thin annular channel heated from the side. Above onset, the supercritical traveling wave pattern undergoes a secondary instability: a supercritical Eckhaus instability. This leads to a small-wave-number phase-modulated nonlinear mode, and shows the first experimental evidence of a nonlinearly saturated phase instability mode for traveling wave patterns. At higher forcing level, this secondary pattern is subject to a tertiary instability. This mode is an amplitude mode characterized by traveling hole patterns, i.e., space-time defects that change the wave number
Document type :
Journal articles
Complete list of metadata

Cited literature [11 references]  Display  Hide  Download

https://hal-cea.archives-ouvertes.fr/cea-01373936
Contributor : Dominique GIRARD Connect in order to contact the contributor
Submitted on : Thursday, September 29, 2016 - 2:14:28 PM
Last modification on : Tuesday, December 14, 2021 - 3:18:51 AM
Long-term archiving on: : Friday, December 30, 2016 - 2:00:36 PM

File

PhysRevLett.80.4661.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Nathalie Mukolobwiez, Arnaud Chiffaudel, François Daviaud. Supercritical Eckhaus Instability for Surface-Tension-Driven Hydrothermal Waves. Physical Review Letters, American Physical Society, 1998, 80, pp.4661-4664. ⟨10.1103/PhysRevLett.80.4661⟩. ⟨cea-01373936⟩

Share

Metrics

Record views

43

Files downloads

160