Nonlinear traveling waves in rotating Rayleigh-B{acute e}nard convection: Stability boundaries and phase diffusion

Journal Article · Thu Apr 01 04:00:00 EST 1999 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.59.4091· OSTI ID:336673

Liu, Y; Ecke, R E ^[1]

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1. Condensed Matter and Thermal Physics Group and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

We present experimental measurements of a sidewall traveling wave in rotating Rayleigh-B{acute e}nard convection. The fluid, water with Prandtl number about 6.3, was confined in a 1-cm-high cylindrical cell with radius-to-height ratio {Gamma}=5. We used simultaneous optical-shadowgraph, heat-transport, and local temperature measurements to determine the stability and characteristics of the traveling-wave state for dimensionless rotation rates 60{lt}{Omega}{lt}420. The state is well described by the one-dimensional complex Ginzburg-Landau (CGL) equation for which the linear and nonlinear coefficients were determined for {Omega}=274. The Eckhaus-Benjamin-Feir-stability boundary was established and the phase-diffusion coefficient and nonlinear group velocity were determined in the stable regime. Higher-order corrections to the CGL equation were also investigated. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 336673
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 4 Vol. 59; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CONVECTIVE INSTABILITIES
DIFFUSION
GINZBURG-LANDAU THEORY
HEAT TRANSFER
ROTATION
TRAVELLING WAVES
WAVE PROPAGATION