具有强SORET效应的充分发展的混合流体行进波对流

混合流体Rayleigh-Benard对流是研究对流稳定性,时空结构和非线性特性的典型模型之一。本文利用流体力学扰动方程组的数值模拟,讨论了偏离传导状态具有强SORET效应的混合流体行进波对流的温度场和浓度场的成长过程,分析了充分发展对流情况下的对流振幅,Nusselt数及混合参数与相对瑞利数的关系。并给出了行进波相速度对相对瑞利数的依赖关系。结果说明混合参数的曲线与行进波相速度的分布曲线是类似的。文末,给出了垂直速度,温度和浓度场的分布并讨论了相对瑞利数对场的分布及不同场之间的相位差的影响。

Fully Developed Travelling Wave Convection in Binary Fluid Mixtures with Strong Soret Effect

The Rayleigh-Benard convection in binary fluid mixtures is one of typical models for investigating stability,spatio-temporal structure and nonlinear dynamics of convection.The numerical simulations of two-dimensional perturbation equations of hydrodynamics reveals the growth process of the temperature field and concentration field of travelling wave convection in binary fluid mixtures with strong Soret effect from a thermal conductive state.And the relationships among convection amplitudes,Nusselt numbers,mixing parameters and reduced Rayleigh numbers for fully developed travelling wave convection,the dependence of travelling wave phase velocity on reduced Rayleigh numbers are proposed in detail to show the similar mixing parameter curve to the travelling wave phase velocity.The distributions of the vertical velocity,temperature and concentration fields are obtained,and the effect of reduced Rayleigh numbers on the distributions of all fields and the phase difference between various fields are discussed.