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

化学波列引起的螺旋流波分层自组织结构的研究

基本信息

批准号：
13831009
负责人：
MIIKE Hidetoshi
金额：
$ 2.37万
依托单位：
Yamaguchi University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2001
资助国家：
日本
起止时间：
2001 至 2002
项目状态：
已结题

项目摘要

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

本研究旨在阐明一种自我组织的流量结构，该结构是由Belousov-Zhabotinsky（BZ）反应激发的化学波序列引起的。在批处理反应器中激发的螺旋chmical波继续在反应期间继续传播化学波序列30-40分钟。在此过程中，波序列在整个反应器上传播后会诱导振荡连接，然后出现对流模式的连贯和动态结构。与化学波（约1mm）相比，具有长波长度（几厘米）的流波（几厘米）来调用该模式。到目前为止，据报道，流浪波在容器的周围区域出现并传播到化学螺旋波的中心。在这项研究中，我们发现1）在化学波的中心出现了新型的流浪波，并在容器末端传播（圆流波和螺旋流波：2000）.2）2）多种流波CA…更多的N被理解为一种Bifurcurcation现象。拾取了两个对照参数，并拾取了maronic-acid和bromo-maronic-acid，以使分叉图（2001）3）通过同步旋转的表面变形（2002）4）在流动波和流动方向之间同步旋转在表面上同步旋转，从而观察到（2002年）。进行了数值分析，以根据反应扩散和转换模型来阐明流浪的机械起源。我们将普通模型扩展到了三个变量反应扩散模型，其中包括浓度的bromo-maronic-acid作为BZ反应的表面张力活性产物。我们证实，在BZ-solutive的浅层层中，化学波列（具有约1mm波长）的化学波列车可能会激发长波长（大约几厘米）的长波长（大约几厘米）的输送。不幸的是，我们无法成功解释振荡流，但是，我们发现了构造卷的传播和分析中构造的定向变化。重要的是要考虑重力和表面变形对数值分析中流浪的影响较少