Axisymmetric flow structure of thin liquid film under radial temperature difference

IF 2.2 3区工程技术 Q2 MECHANICS

Theoretical and Computational Fluid Dynamics Pub Date : 2022-08-10 DOI:10.1007/s00162-022-00624-z

Jungeng Fan, Ruquan Liang

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Abstract

Motivated by recent advances in the development of the numerical calculation of fine flow in liquid film, the thermocapillary convection in thin liquid film (1mm) due to temperature difference is studied in this paper. To describe the formation of the thermocapillary convection on gas-liquid interface, a two-phase system was designed, in which the momentum and energy interact directly through the free surface. The finite volume method is used to solve the N-S equation in gas phase and liquid phase, respectively, and the velocity and temperature information are exchanged on the free surface in each time step. The results show that a thermocapillary wave appears in the liquid film when the temperature difference exceeds a certain value. The temperature and velocity fluctuations on the free surface show a radiation shape. The flow field structure is completely symmetrical in the basic state, but it is axisymmetric in the case of oscillation state. The propagation direction of thermocapillary wave is affected by many factors (ambient temperature or inner wall rotation). The wave propagation direction is consistent with the rotation direction when the inner wall rotates. When the angular velocity of inner wall rotation is 8 rad/s, the wave number of thermocapillary wave will be reduced to 3, which is independent of the rotation direction.

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径向温差作用下液膜轴对称流动结构

基于液膜内细流数值计算的最新进展，本文研究了1mm厚的液膜内由于温差引起的热毛细对流。为了描述气液界面上热毛细对流的形成，设计了动量和能量通过自由表面直接相互作用的两相系统。采用有限体积法分别求解气相和液相的N-S方程，并在自由表面上交换各时间步长的速度和温度信息。结果表明，当温差超过一定值时，液膜中出现热毛细波。自由表面的温度和速度波动呈辐射状。流场结构在基本状态下是完全对称的，而在振荡状态下是轴对称的。热毛细波的传播方向受多种因素(环境温度或内壁旋转)的影响。当内壁旋转时，波的传播方向与旋转方向一致。当内壁旋转角速度为8 rad/s时，热毛细波波数减少为3，且与旋转方向无关。

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

Theoretical and Computational Fluid Dynamics 物理-力学

CiteScore

5.80

自引率

2.90%

发文量

审稿时长

>12 weeks

期刊介绍： Theoretical and Computational Fluid Dynamics provides a forum for the cross fertilization of ideas, tools and techniques across all disciplines in which fluid flow plays a role. The focus is on aspects of fluid dynamics where theory and computation are used to provide insights and data upon which solid physical understanding is revealed. We seek research papers, invited review articles, brief communications, letters and comments addressing flow phenomena of relevance to aeronautical, geophysical, environmental, material, mechanical and life sciences. Papers of a purely algorithmic, experimental or engineering application nature, and papers without significant new physical insights, are outside the scope of this journal. For computational work, authors are responsible for ensuring that any artifacts of discretization and/or implementation are sufficiently controlled such that the numerical results unambiguously support the conclusions drawn. Where appropriate, and to the extent possible, such papers should either include or reference supporting documentation in the form of verification and validation studies.