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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

本研究旨在阐明由Belousov-Zhabotinsky（BZ）反应激发的化学波列诱导的流波自组织结构的机制。在间歇式反应器中激发的螺旋化学波在反应过程中持续传播30-40分钟。在此过程中，波列在整个反应器内传播后，产生振荡对流，形成相干的动态对流型结构。这种模式被称为流波，与化学波（约1毫米）相比，流波的波长较长（几厘米）。到目前为止，已有报道称流波在容器的周围区域出现并传播到化学螺旋波的中心。在本研究中，我们发现1)新型流波出现在化学波的中心并向容器的末端传播（圆形流波和螺旋流波：2000）。2)各种流波可以更多地被理解为一种分岔现象。选取Maronic-acid和Bromo-Maronic-acid两个控制参数，绘制了分岔图（2001）。3)螺旋流波伴随同步旋转的表面变形（2002）。4)观察到流波在表面的同步旋转和流向变化（2002）。基于反应扩散和对流模型，对流波的机理起源进行了数值分析。我们将普通模型扩展为包含溴马龙酸浓度作为bz反应表面张力活性产物的三变量反应扩散模型。我们证实，在bz溶液的浅层中，化学波列（波长约为1mm）可能激发了长波长（约几厘米）的对流卷。不幸的是，我们不能成功地解释振荡流，但是，我们在分析中发现了对流滚转的传播和对流的方向变化。在数值分析中，考虑重力和地表变形对流波的影响是很重要的