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首页> 外文期刊>International Journal of Heat and Mass Transfer >Numerical simulation of Marangoni convection in a shallow rectangular cavity with a linear solutal boundary condition
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Numerical simulation of Marangoni convection in a shallow rectangular cavity with a linear solutal boundary condition

机译：浅矩形腔中Marangoni对流的数值模拟，具有线性俯瞰边界条件

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A series of three-dimensional numerical simulations have been carried out to examine the characteristics of Marangoni convection in a shallow rectangular cavity that is subjected to a linear solutal boundary condition. For the working fluid, two Schmidt number values (moderate and high) (Sc = 10 and 100) are chosen. The computed flow velocity and concentration distributions show more unique and complex characteristics compared with those of previous studies used a constant solutal boundary condition. Results also indicate that the flow is steady at a relatively small solutal Marangoni number. The secondary vortices embedded in the liquid layer appear. Number of vortices develop greatly depends on the levels of selected solutal Marangoni and Schmidt numbers. When the solutal Marangoni number exceeds a critical value, the Marangoni flow losses its stability, and a three-dimensional oscillatory flow develops. For the oscillatory flow, compared with the case of constant boundary condition, although a backward transition from chaotic to oscillatory is observed with the use of linear boundary condition at a moderate Schmidt number, the disturbance energy of that is always weaker at the same Marangoni number levels. The evolution sequences of flow instabilities are related to the Schmidt number due to the occurrence of a secondary wave at a higher Schmidt number. In addition, the wave patterns undergo a series of evolutions, namely, expansion, separation, squeezing, and merging during propagation due to the effect of cavity boundaries. As a result, since the waves are confined within the rectangular cavity, the wave patterns of spline-like, horseshoe-like, and wedge-like develop in the domain.
机译：已经进行了一系列三维数值模拟，以检查在浅矩形腔内的Marangoni对流的特性，其受到线性源自边界条件。对于工作流体，选择两个施密量值（中等和高）（SC = 10和100）。计算的流速和浓度分布显示与先前研究相比的更具独特和复杂的特性，使用了恒定的溶解边界条件。结果还表明，在相对小的Solutal Marangoni号码中流动稳定。嵌入在液体层中的次级涡流出现。涡流的数量大大取决于所选择的Solutal Marangoni和Schmidt号码的水平。当Solutal Marangoni数量超过临界值时，Marangoni流量损失其稳定性，并且三维振荡流动发展。对于振荡流，与恒定边界条件的情况相比，尽管在适度的施密特数在适度的施密特数下使用线性边界条件观察到从混沌到振荡的后向转变，但是在相同的Marangoni号码中的干扰能量总是较弱水平。由于在更高的施密特数处发生次要波，流动不稳定性的进化序列与施密量有关。另外，由于腔边界的效果，波形图案在传播期间经历一系列演进，即扩展，分离，挤压和合并。结果，由于波在矩形腔内限制在矩形，样条状，马蹄形和织物中的波纹状显影。

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