收稿日期: 2015-11-09
修回日期: 2016-05-30
网络出版日期: 2016-10-04
基金资助
国家自然科学基金资助项目( 51276203)
Effect of Liquid Layer Thickness on Thermocapillary Convection in an Annular Two-Layer System Subjected to a Bidirectional Temperature Gradient
Received date: 2015-11-09
Revised date: 2016-05-30
Online published: 2016-10-04
Supported by
Supported by the National Natural Science Foundation of China( 51276203)
彭岚 魏程星云 刘佳 . 液封厚度对双向温差下环形双液层内热毛细对流的影响[J]. 华南理工大学学报(自然科学版), 2016 , 44(11) : 126 -132 . DOI: 10.3969/j.issn.1000-565X.2016.11.019
The liquid layer thickness plays an important role in the thermocapillary convection of liquid layer system.However,most of previous researches focused on the convention caused by a mono-directional temperature gradient.In this paper,the effect of the liquid layer thickness on the thermocapillary convection in an annular twolayer system subjected to a bidirectional complex temperature gradient is investigated by a set of two-dimensional numerical simulations.In the simulations,the system bottom is heated by following a linear temperature profile,and the free surface convects with outer space.Moreover,the liquid layer thickness ratio Hr changes from 0.1 to 0.9,the range of the radial temperature difference Re is 0 ~ 1.5 ×106,and the thickness radial ratio Γ is 0.1,0.2,0.3.The results show that ( 1) when Re is smaller,there exists an axisymmetric steady flow,and the thermocapillary convection decreases with the increase of Hr ; ( 2) an unsteady multi-cellular flow occurs as Re increases and then exceeds a critical value,and both the amplitude and the convection decrease with the increase of Hr ; ( 3) the critical value changes with Hr in a non-monotonic way; and ( 4) when Hr locates between 0.5 and 0.7,the critical Re is always the biggest at different Γ,and the system is in the most stable state.
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