ONSET OF LONG-WAVELENGTH MARANGONI CONVECTION IN BINARY FLUID MIXTURE UNDER HEAT FLUX MODULATION

IF 0.7 Q4 THERMODYNAMICS

Interfacial Phenomena and Heat Transfer Pub Date : 2023-01-01 DOI:10.1615/interfacphenomheattransfer.2023049974

Boris Smorodin

引用次数: 0

Abstract

The Marangoni instability of a horizontal binary mixture layer with a deformable free surface and a solid substrate is investigated under the action of a modulated heat flux. In contrast to the case of a homogeneous liquid, due to thermal diffusion (Soret effect), the modulation of the heat flux creates not only a temperature wave in the layer, but also a concentration wave, which change a surface tension. The modulation of the heat flux with a zero mean value is considered in two cases: i) on free surface, ii) on a rigid bottom boundary. In both cases, the long-wave instability exists within the established frequency intervals. The dependences of the critical Marangoni number and the corresponding modulation frequency on the separation ratio and the Lewis number are obtained for long-wave disturbances. The fundamental features of the case (i), as compared to the case (ii), are as follows: the instability domains are located in the lower frequency ranges and the minimum Marangoni number is several times smaller.

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热流调制下二元流体混合物中长波长马兰戈尼对流的发生

研究了具有可变形自由表面和固体基材的水平二元混合层在调制热通量作用下的Marangoni不稳定性。与均匀液体的情况相反，由于热扩散(Soret效应)，热流的调制不仅在层中产生温度波，而且还产生浓度波，从而改变表面张力。在两种情况下考虑了均值为零的热通量调制:i)在自由表面上，ii)在刚性底边界上。在这两种情况下，长波不稳定性都存在于确定的频率区间内。得到了长波扰动下临界马兰戈尼数和相应调制频率与分离比和路易斯数的关系。与情形(二)相比，情形(一)的基本特征如下:不稳定域位于较低的频率范围内，最小马兰戈尼数小几倍。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Interfacial Phenomena and Heat Transfer THERMODYNAMICS-

CiteScore

1.70

自引率

40.00%

发文量

期刊介绍： Interfacial Phenomena and Heat Transfer aims to serve as a forum to advance understanding of fundamental and applied areas on interfacial phenomena, fluid flow, and heat transfer through interdisciplinary research. The special feature of the Journal is to highlight multi-scale phenomena involved in physical and/or chemical behaviors in the context of both classical and new unsolved problems of thermal physics, fluid mechanics, and interfacial phenomena. This goal is fulfilled by publishing novel research on experimental, theoretical and computational methods, assigning priority to comprehensive works covering at least two of the above three approaches. The scope of the Journal covers interdisciplinary areas of physics of fluids, heat and mass transfer, physical chemistry and engineering in macro-, meso-, micro-, and nano-scale. As such review papers, full-length articles and short communications are sought on the following areas: intense heat and mass transfer systems; flows in channels and complex fluid systems; physics of contact line, wetting and thermocapillary flows; instabilities and flow patterns; two-phase systems behavior including films, drops, rivulets, spray, jets, and bubbles; phase change phenomena such as boiling, evaporation, condensation and solidification; multi-scaled textured, soft or heterogeneous surfaces; and gravity dependent phenomena, e.g. processes in micro- and hyper-gravity. The Journal may also consider significant contributions related to the development of innovative experimental techniques, and instrumentation demonstrating advancement of science in the focus areas of this journal.