Fütterer C, Lücke M
Institut für Theoretische Physik, Universität des Saarlandes, Postfach 151150, D-66041 Saarbrücken, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3 Pt 2B):036315. doi: 10.1103/PhysRevE.65.036315. Epub 2002 Mar 6.
The growth of convection in binary fluid mixtures out of different perturbations of the quiescent conductive state is investigated using finite-difference numerical simulations for realistic ethanol-water parameters with strong negative Soret coupling between temperature and concentration fluctuations. Several different analysis tools are used to elucidate the complex spatiotemporal behavior associated with the dramatic concentration redistribution during the transients. It shows first the competition between counterpropagating waves that initially superimpose to form standing wave perturbations. Having reached a critical amplitude an advective breaking of the concentration wave triggers a very fast flow-induced transition from standing to traveling wave convection with large phase velocity and large concentration field amplitudes. Strongly nonlinear advective mixing and weak long-time diffusive homogenization then slow down the waves.
利用有限差分数值模拟,针对具有温度和浓度涨落之间强负索雷特耦合的实际乙醇 - 水参数,研究了二元流体混合物中对流从静态传导状态的不同扰动下的生长情况。使用了几种不同的分析工具来阐明与瞬态过程中剧烈浓度重新分布相关的复杂时空行为。首先显示了反向传播波之间的竞争,这些波最初叠加形成驻波扰动。达到临界振幅后,浓度波的平流破裂触发了从驻波对流到行波对流的非常快速的流致转变,具有大的相速度和大的浓度场振幅。然后,强非线性平流混合和弱的长时间扩散均匀化使波减速。