INFLUENCE OF HEAT DEFECT ON THE CHARACTERISTICS OF A TWO-LAYER FLOW WITH THE HIEMENZ-TYPE VELOCITY

IF 0.7 Q4 THERMODYNAMICS

Interfacial Phenomena and Heat Transfer Pub Date : 2019-01-01 DOI:10.1615/interfacphenomheattransfer.2020032777

V. Bekezhanova, V. Andreev, I. A. Shefer

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引用次数: 2

Abstract

An exact solution is derived in the frame of the creeping flow model to describe thermocapillary convection in a twolayer system with heat defect when the heat is transferred through the interface. The solution is characterized by the Hiemenz-type velocity and temperature distribution which is quadratic in the longitudinal coordinate. The heat defect is connected with changes in the internal energy of the interface caused by the action of thermocapillary forces on the transformation of the area and shape of the surface. A model linear problem is studied to estimate the impact of this effect on the formation of typical flow regimes and stability of these regimes. There is only a nonlinear term in the energy balance condition at the interface corresponding to the heat defect in the model problem. Depending on the values of a parameter defining the character of thermal load on the lower boundary of the system this problem may not have any solution, or it may have one or two exact solutions obtained in an explicit form. In the frame of the linear theory the stability of one of these exact solutions is investigated both taking into account the heat defect and under classical condition of heat balance at the interface setting an equality of heat fluxes on this surface. The interface position and velocity and temperature perturbation fields are calculated. With the decrease of the liquid layer thickness the changes in the internal energy of the interface can result in oscillations of the surface and saw-shaped deformations. Such behavior of the interface does not appear in the system without the heat defect.

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热缺陷对两层亥门兹型流动特性的影响

在蠕变流动模型的框架下，导出了热缺陷双层系统中热毛细对流通过界面传递时的精确解。解的速度和温度在纵向坐标上呈二次型的亥门兹分布。热缺陷与热毛细力作用于表面面积和形状的转变所引起的界面内能变化有关。研究了一个模型线性问题，以估计这种影响对典型流型的形成和这些流型的稳定性的影响。模型问题中热缺陷所对应的界面处能量平衡条件只有一个非线性项。根据定义系统下边界热负荷特性的参数值，这个问题可能没有任何解，也可能有一个或两个以显式形式得到的精确解。在线性理论的框架下，在考虑热缺陷的情况下，在经典的界面热平衡条件下，在该表面热流相等的情况下，研究了其中一个精确解的稳定性。计算了界面位置、速度和温度扰动场。随着液层厚度的减小，界面内能的变化会引起表面的振荡和锯形变形。如果没有热缺陷，系统中就不会出现这种界面行为。

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

Interfacial Phenomena and Heat Transfer THERMODYNAMICS-

CiteScore

1.70

自引率

40.00%

发文量

期刊介绍： Interfacial Phenomena and Heat Transfer aims to serve as a forum to advance understanding of fundamental and applied areas on interfacial phenomena, fluid flow, and heat transfer through interdisciplinary research. The special feature of the Journal is to highlight multi-scale phenomena involved in physical and/or chemical behaviors in the context of both classical and new unsolved problems of thermal physics, fluid mechanics, and interfacial phenomena. This goal is fulfilled by publishing novel research on experimental, theoretical and computational methods, assigning priority to comprehensive works covering at least two of the above three approaches. The scope of the Journal covers interdisciplinary areas of physics of fluids, heat and mass transfer, physical chemistry and engineering in macro-, meso-, micro-, and nano-scale. As such review papers, full-length articles and short communications are sought on the following areas: intense heat and mass transfer systems; flows in channels and complex fluid systems; physics of contact line, wetting and thermocapillary flows; instabilities and flow patterns; two-phase systems behavior including films, drops, rivulets, spray, jets, and bubbles; phase change phenomena such as boiling, evaporation, condensation and solidification; multi-scaled textured, soft or heterogeneous surfaces; and gravity dependent phenomena, e.g. processes in micro- and hyper-gravity. The Journal may also consider significant contributions related to the development of innovative experimental techniques, and instrumentation demonstrating advancement of science in the focus areas of this journal.