Instabilities of thermocapillary liquid layers with two free surfaces

被引：10

作者：

Hu, Kai-Xin ^{[1
]}

Zhao, Cheng-Zhuo ^{[1
]}

Zhang, Shao-Neng ^{[1
]}

Chen, Qi-Sheng ^{[2
,3
]}

机构：

[1] Ningbo Univ, Sch Mech Engn & Mech, Minist Educ, Key Lab Impact & Safety Engn, Ningbo 315211, Zhejiang, Peoples R China

[2] Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100190, Peoples R China

[3] Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Beijing 100190, Peoples R China

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2021年 / 173卷

基金：

中国国家自然科学基金;

关键词：

FLOW PATTERNS; ANNULAR POOL; CONVECTION; FILM; MECHANISMS; TRANSITION;

D O I：

10.1016/j.ijheatmasstransfer.2021.121217

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The instabilities of thermocapillary liquid layers with two free surfaces are examined by linear stability analysis. The surface tension is big enough to keep the liquid surfaces non-deformable. The effect of vertical temperature difference between two interfaces (Q) is considered. The critical parameters of preferred modes are determined, which depend on the Prandtl number (Pr) and Biot number (Bi). When Q=0, the preferred modes are the oblique wave at small Pr and the streamwise wave at large Pr. The perturbation is symmetric and anti-symmetric at small and large Pr, respectively. When Q>0, the preferred mode changes from the oblique wave to the streamwise wave, and finally the spanwise stationary mode with the increase of Pr. The instability mechanism is discussed. Comparisons are made with the liquid layer with a single free surface and previous results by numerical simulations and experiments. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：9

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