水平流作用下的混合流体行进波对流  

Traveling wave convection in binary fluid mixtures with lateral flow

作　　者：赵秉新[1,2] 

机构地区：[1]复旦大学力学与工程科学系,上海200433 [2]宁夏大学数学计算机学院,银川750021

出　　处：《水动力学研究与进展（A辑）》2012年第3期264-274,共11页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金资助项目(10662006);宁夏自然科学基金资助项目(NZ0938)~~

摘　　要：利用高阶紧致有限差分格式,数值模拟研究了物性参数对具有Soret效应的混合流体的Poiseuille-Rayleigh-Bénard流动系统的影响。在正的小分离比下,附加一个微小的温度扰动作为扰动源,流动系统时空结构的发展在经历了初始状态、线性波指数型成长和非线性发展三个阶段之后,最终演变成为稳定的周期性行进波状态。还进一步探讨了水平流强度和Rayleigh数对流场结构的影响。Based on a high-accuracy difference approach proposed for the hydrodynamic perturbation equations, this paper studies numerically the influence of physical parameters on Poiseuille-Rayleigh-Benard flows in binary fluids with Soret effect at a small positive separation ratio. With a temperature perturbation as an initial disturbing source, the whole spatio-temporal evolution of the flow system undergoes three stages： initial moment, linear wave exponential growth and nonlinear evolution. And then after a nonlinear evolution transition, the flow system evolves into a periodic traveling wave state. The Reynolds and Rayleigh effects on the course of spatio-temporal evolution are discussed in the end.

关 键 词：Poiseuille-Rayleigh-Bénard流动 混合流体 行进波 高阶紧致格式 

分 类 号：O357[理学—流体力学]