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Zhabotinsky（BZ）的结构，在批处理反应器中激发的螺旋形波继续在反应过程中传播30-40分钟。对流模式的结构是通过具有长的波长（几厘米）的流量来调用的。化学螺旋波的中心在这项研究中我们发现）E和螺旋流波：2000）.2）多种流量的ca…更多的n被理解为如分叉扩散Agram（2001）3）伴随着同步旋转的默认值（2002）4）在表面上的流动方向变化之间的同步旋转（2002）。在三个变量反应模型中，包括Asurface-tension Active产物，我们证实了您的长波长（大约几个中心）的对话，这是由您激发的。大约1mm的波长）在BZ-solution的浅层层中，我们发现了惯例的传播，并且在分析中的转换方向变化。数值分析中流动波的表面变形较少