混合流体局部行波对流斑图选择的初值依赖性

Initial-value dependence of pattern selection of localized traveling wave convection in a binary fluid mixture

利用Simple算法对流体力学基本方程组进行了数值模拟,初步研究了局部行波对流斑图选择的初值依赖性问题。分离比ψ-(28)6.0、相对瑞利数r(28)2.1时依赖于初值的有间歇性缺陷的行波,位于腔体右端的局部行波和位于腔体左端的局部行波的多重稳定性;分离比ψ(28)-0.6、相对瑞利数r在1.855~2.118范围内依赖于初值的位于腔体右端的局部行波和位于腔体左端的局部行波的多重稳定性等。虽然在不同初值下,局部行波存在的区间有所不同,局部行波的空间位置有所不同,但局部行波的特性参数变化规律基本一致。结果说明混合流体局部行波对流斑图选择的初值依赖性是存在的。

In this paper,the numerical simulations are conducted by solving the two-dimensional equations of hydrodynamics using the Simple method,and the initial-value dependence in pattern selection of the localized traveling wave convection in a binary fluid mixture in a rectangular cell is preliminarily studied.The problems include the multistability of the traveling wave with intermittent defects,the localized traveling wave(LTW)moving toward the left locates near the right end wall of cavity and the LTW propagating toward the right locates near the left end wall of cavity depend on initial values for the separation ratioψ(28)-0.6at reduced Rayleigh number r(28)2.1;the multistability of the LTW moving toward the left locates near the right end wall of cavity and the LTW propagating toward the right locates near the left end wall of cavity depend on initial values for ψ(28)-0.6at r(28)1.855~2.118.For different initial values,the existence range of the LTW is different,and the spatial position of the LTW is different,but the characteristic parameters of the LTW are basically the same.The result shows that the initial-value dependence of pattern selection of localized traveling wave convection in a binary fluid mixture is existed.