重力作用下厚壁两侧液体层的长波非线性稳定性

IF 5.5 3区工程技术 Q1 ENGINEERING, CHEMICAL

Journal of the Taiwan Institute of Chemical Engineers Pub Date : 2025-05-13 DOI:10.1016/j.jtice.2025.106162

L.A. Dávalos-Orozco, J.L. Villalobos-Piñera

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引用次数: 0

摘要

背景：浸渍涂层工艺已经研究多年，它包括从液体池中取出固体板。然后两层液体将继续覆盖在板坯上。当它旋转到水平位置时，液-壁-液系统受到垂直的温度梯度和重力。方法：采用小波数近似，考虑热毛细效应、重力和壁面滑移，推导了自由表面变形的两个热耦合非线性演化方程。重要发现：考察了不稳定性的线性增长率和最大增长率。由于两个液体层的耦合，不稳定性可以是平稳的或振荡的。结果表明，液壁界面处的滑移可能使流动失稳，但在重要情况下，滑移可能以两种不同的方式稳定流动。首先，随着扰动波数的增加，滑移可以稳定地降低增长率。其次，从最大增长率来看，滑移可能稳定在马兰戈尼数的一定范围内。这两种情况均以非线性自由曲面轮廓为例进行了说明。非线性弯曲或静脉曲张模式也进行了研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Longwave nonlinear stability of two liquid layers coating both sides of a thick wall with slip in presence of gravity

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Longwave nonlinear stability of two liquid layers coating both sides of a thick wall with slip in presence of gravity

Background:

The process of dip coating has been investigated for many years and it consists of pulling out a solid slab from a liquid pool. Then two liquid layers will remain coating the slab. When it is rotated into a horizontal position the liquid-wall-liquid system is subjected to a perpendicular temperature gradient and gravity.

Methods:

Two thermally coupled nonlinear evolution equations for the free surfaces deformations are derived using the small wavenumber approximation including thermocapillary effects, gravity and slip at the wall.

Significant Findings:

The linear growth rate and maximum growth rate of instability were investigated. Due to the coupling of the two liquid layers the instability can be stationary or oscillatory. It is shown that slip at the wall-liquid interfaces may destabilize the flow, but under important circumstances, slip may stabilize in two different ways. First, slip may stabilize decreasing the growth rate with the increase of the perturbation wavenumber above a critical one. Second, from the point of view of the maximum growth rate, slip may stabilize in a certain range of the Marangoni number. These two cases are shown with samples of nonlinear free surfaces profiles. Nonlinear sinuous or varicose mode is also investigated.

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来源期刊

Journal of the Taiwan Institute of Chemical Engineers 工程技术-工程：化工

CiteScore

9.10

自引率

14.00%

发文量

362

审稿时长

35 days

期刊介绍： Journal of the Taiwan Institute of Chemical Engineers (formerly known as Journal of the Chinese Institute of Chemical Engineers) publishes original works, from fundamental principles to practical applications, in the broad field of chemical engineering with special focus on three aspects: Chemical and Biomolecular Science and Technology, Energy and Environmental Science and Technology, and Materials Science and Technology. Authors should choose for their manuscript an appropriate aspect section and a few related classifications when submitting to the journal online.