Investigation of hierarchical self-organization structure of spiral flow waves induced by chemical wave trains

本研究的目的是阐明自组织的流动波的结构的机制，这是由Belousov-Zhabotinsky（BZ）反应中激发的化学波列引起的。在间歇式反应器中激发螺旋化学波，在反应过程中持续传播化学波列30-40分钟。在此过程中，波列在反应器内传播后，引起振荡对流，形成一种相干的动态对流结构。这种模式被称为流动波，与化学波（约1 mm）相比，流动波具有较长的波长（几厘米）。到目前为止，据报道，流波出现在容器的周围区域，并传播到化学螺旋波的中心。在本研究中，我们发现：1）在化学波的中心出现了新型的流动波，并向容器的端部传播（圆形流动波和螺旋形流动波：2000）。2）各种流动波， ...更多信息 n可以理解为一种分岔现象。3）螺旋流波伴随着表面变形的同步旋转（2002）4）在表面上观察到流波与流动方向的同步旋转（2002）。基于反应-扩散和对流模型，进行了数值分析，以澄清流动波的机理起源。我们将普通模型扩展为包含溴代丙二酸浓度的三变量反应扩散模型，溴代丙二酸是BZ反应的表面张力活性产物。我们证实了BZ溶液中的化学波列（波长约为1 mm）可能激发出一个长波长（约为几厘米）的对流卷。不幸的是，我们不能成功地解释振荡流，但是，我们发现了对流滚动的传播和对流的方向变化的分析。在数值分析中考虑重力和地表变形对流波的影响很重要

the present study aimed to clarify a mechanism self-organizing a structure of flow waves, which is induced by a chemical wave trains excited in a Belousov-Zhabotinsky(BZ) reaction. Spiral chmical waves, excited in a batch reactor, continue to propagate the chemical wave trains 30-40 minutes during the reaction. In the process, an oscillatory convection is induced after the wave trains propagate all over the reactor, Then a coherent and dynamic structure of convective pattern appears. The pattern is called by the flow waves having a longw wave length (several centimeters)compared to that of the chemical waves(about 1mm). Up to now, it has been reported that the flow waves emerge at a surrounding area of the container and propagate to the center of the chemical spiral waves. In this study we found1)New type of flow waves emerged at the center of the chemical waves and propagated toward the end of the container (circular flow wave and spiral flow waves : 2000).2)A variety of flow waves ca … More n be understood as a kind of bifurcation phenomena. Two control parameters of Maronic-acid and Bromo-Maronic-acid were picked up to make a bifurcation diagram(2001)3)The spiral flow waves ware accompanied by synchronously rotating surfaced deformation(2002)4)Synchronous rotation between the flow waves and flow direction change at the surface was observed(2002). A numerical analysis was carried out to clarify the mechanistic origin of the flow waves based on a model of reaction-diffusion and convection. We extended the ordinary model into a three variables reaction-diffusion model including concentration of bromo-maronic-acid as a surface-tension active product of the BZ-reaction. We confirmed that a convection roll of long wavelength (about several centimeters) was possibly excited by the chemical waves trains (having about 1mm wavelength) in a shallow layer of the BZ-solution. Unfortunately, we could not succeed to explain the oscillatory flow, however, we found a propagation of the convection roll and a directional change of the convection in the analysis. It is important to consider the influence of gravity and surface deformation to the flow waves in the numerical analysis Less