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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Hydrothermal waves in two-dimensional liquid layers with sudden changes in the available cross-section
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Hydrothermal waves in two-dimensional liquid layers with sudden changes in the available cross-section

机译：二维液体层中的热液波，可用截面突然变化

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Purpose - Hydrothermal waves represent the preferred mode of instability of the so-called Marangoni flow for a wide range of liquids and conditions. The related features in classical rectangular containers have attracted much attention over recent years owing to the relevance of these oscillatory modes to several techniques used for the production of single crystals of semiconductor or oxide materials. Control or a proper knowledge of convective instabilities in these systems is an essential topic from a material/product properties saving standpoint. The purpose of this study is to improve our understanding of these phenomena in less ordinary circumstances. Design/methodology/approach - This short paper reports on a numerical model developed to inquire specifically about the role played by sudden changes in the available cross-section of the shallow cavity hosting the liquid. Although accounting for the spanwise dimension would be necessary to derive quantitative results, the approach is based on the assumption of two-dimensional flow, which, for high-Pr fluids, is believed to retain the essence of the involved physical processes. Findings - Results are presented for the case of a fluid with Pr = 15 filling an open container with a single backward-facing or forward-facing step on the bottom wall or with an obstruction located in the centre. It is shown that the presence of steps in the considered geometry can lead to a variety of situations with significant changes in the local spectral content of the flow and even flow stabilization in certain circumstances. The role of thermal boundary conditions is assessed by considering separately adiabatic and conducting conditions for the bottom wall. Originality/value - Although a plethora of studies have been appearing over recent years motivated, completely or in part, by a quest to identify new means to mitigate these instabilities and produce accordingly single crystals of higher quality for the industry, unfortunately, most of these research works were focusing on very simple geometries. In the present paper, the causality and interdependence among all the kinematic and thermal effects mentioned above is discussed.
机译：目的-热液波代表了在各种液体和条件下所谓的Marangoni流不稳定的首选方式。由于这些振荡模式与用于生产半导体或氧化物材料的单晶的几种技术的相关性，近年来经典矩形容器中的相关特征引起了人们的极大关注。从节省材料/产品性能的角度来看，控制或适当了解这些系统中的对流不稳定性是必不可少的主题。这项研究的目的是提高我们在不太普通的情况下对这些现象的理解。设计/方法/方法-这篇简短的论文报道了一个数值模型，该数值模型的开发旨在专门研究容纳液体的浅腔可用横截面中突然变化所起的作用。尽管考虑跨度尺寸对于获得定量结果是必要的，但该方法基于二维流动的假设，对于高Pr流体，该流动被认为保留了所涉及物理过程的本质。结果-对于在Pr = 15的液体填充开放容器的情况下给出的结果，该容器的底壁上有一个向后或向前的台阶，或者位于中心的障碍物。结果表明，考虑的几何形状中台阶的存在会导致多种情况，在某些情况下，流体的局部光谱含量会发生重大变化，甚至会导致流量稳定。通过分别考虑底壁的绝热和传导条件来评估热边界条件的作用。独创性/价值-尽管近年来出现了许多研究，这些研究的全部或部分出于寻求寻找减轻这些不稳定性的新方法并因此为该行业生产更高质量的单晶的动机，但不幸的是，其中大多数研究工作集中在非常简单的几何上。在本文中，讨论了上述所有运动学和热学效应之间的因果关系和相互依赖性。

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