Li Ligang, Liao Xinhao, Zhang Keke
Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Feb;77(2 Pt 2):027301. doi: 10.1103/PhysRevE.77.027301. Epub 2008 Feb 14.
Linear and nonlinear counter-traveling waves in a fluid-filled annular cylinder with realistic no-slip boundary conditions uniformly heated from below and rotating about a vertical axis are investigated. When the gap of the annular cylinder is moderate, there exist two three-dimensional traveling waves driven by convective instabilities: a retrograde mode localized near the outer sidewall and a prograde mode adjacent to the inner sidewall with a different wave number, frequency and critical Rayleigh number. It is found that the retrogradely propagating mode is always more unstable and is marked by a larger azimuthal wave number. When the Rayleigh number is sufficiently large, both the counter-traveling modes can be excited and nonlinearly interacting, leading to an unusual nonlinear phenomenon in rotating Rayleigh-Bénard convection.
研究了一个底部均匀加热并绕垂直轴旋转、具有实际无滑移边界条件的充液环形圆柱中的线性和非线性反向行波。当环形圆柱的间隙适中时，存在由对流不稳定性驱动的两种三维行波：一种逆行模式位于外侧壁附近，一种顺行模式靠近内侧壁，它们具有不同的波数、频率和临界瑞利数。研究发现，逆行传播模式总是更不稳定，并且以更大的方位波数为特征。当瑞利数足够大时，两种反向行波模式都可以被激发并发生非线性相互作用，从而在旋转瑞利 - 贝纳德对流中导致一种不寻常的非线性现象。
