具有径向和圆柱对称性的两相模型自由边界问题的解析解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-23 DOI:10.1016/j.na.2024.113670

Hongxia Xue, Jianwei Dong

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引用次数: 0

摘要

本文研究了不粘性两相模型的自由边界问题，其中压力函数为 P(n,ρ)=ργ+nα (γ>1, α≥1)，n 和 ρ 分别为两相的密度。首先，我们利用一些解析式构建了 N 维径向对称情况下的一些自相似解析解，并利用平均量方法研究了自由边界的扩散率。其次，我们将 N 维径向对称情况的结果扩展到三维圆柱对称情况。第三，我们给出了具有科里奥利力的三维圆柱对称模型的一些解析解。从本文构建的解析解中，我们发现科里奥利力可以阻止自由边界无限向外扩展。

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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Analytical solutions to the free boundary problem of a two-phase model with radial and cylindrical symmetry

In this paper, we study the free boundary problem of an inviscid two-phase model, where we take the pressure function as

P (n, ρ) = ρ^{γ} + n^{α}

(

γ > 1

α \geq 1

) with

n

and

ρ

being the densities of two phases. First, we construct some self-similar analytical solutions for the

N

-dimensional radially symmetric case by using some ansatzs, and investigate the spreading rate of the free boundary by using the method of averaged quantities. Second, we extend the results of the

N

-dimensional radially symmetric case to the three-dimensional cylindrically symmetric case. Third, we present some analytical solutions for the three-dimensional cylindrically symmetric model with a Coriolis force. From the analytical solutions constructed in this paper, we find that the Coriolis force can prevent the free boundary from spreading out infinitely.

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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.