Analysis of Rayleigh Taylor instability in nanofluids with rotation

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.3934/NACO.2021018

Pooja Girotra, J. Ahuja, D. Verma

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引用次数: 3

Abstract

This article focuses on the hidden insights about the Rayleigh-Taylor instability of two superimposed horizontal layers of nanofluids having different densities in the presence of rotation factor. Conservation equations are subjected to linear perturbations and further analyzed by using the Normal Mode technique. A dispersion relation incorporating the effects of surface tension, Atwood number, rotation factor and volume fraction of nanoparticles is obtained. Using Routh-Hurtwitz criterion the stable and unstable modes of Rayleigh-Taylor instability are discussed in the presence/absence of nanoparticles and presented through graphs. It is observed that in the absence/presence of nanoparticles, surface tension helps to stabilize the system and Atwood number has a destabilizing impact without the consideration of rotation factor. But if rotation parameter is considered (in the absence/presence of nanoparticles) then surface tension destabilizes the system while Atwood number has a stabilization effect (for a particular range of wave number). The volume fraction of nanoparticles destabilizes the system in the absence of rotation but in the presence of rotation the stability of the system is significantly stimulated by the nanoparticles.

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旋转纳米流体中瑞利-泰勒不稳定性分析

本文重点研究了旋转因子存在下两层不同密度纳米流体水平叠加层的瑞利-泰勒不稳定性。守恒方程受到线性摄动的影响，并采用正态模态技术进一步分析。得到了包含表面张力、阿特伍德数、旋转系数和纳米颗粒体积分数影响的分散关系。利用Routh-Hurtwitz准则讨论了纳米颗粒存在/不存在时的瑞利-泰勒不稳定性的稳定和不稳定模式，并通过图形表示。研究发现，在不考虑旋转因子的情况下，表面张力有助于体系的稳定，而阿特伍德数对体系的不稳定有影响。但是，如果考虑旋转参数(在纳米颗粒不存在的情况下)，则表面张力会使系统不稳定，而阿特伍德数则具有稳定效应(对于特定范围的波数)。在没有旋转的情况下，纳米颗粒的体积分数使系统不稳定，但在有旋转的情况下，纳米颗粒显著地刺激了系统的稳定性。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.