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Inverse cascade of the vortical structures near the contact line of evaporating sessile droplets

机译:固着小液滴接触线附近的涡旋结构的逆级联

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摘要

Microscopic imaging as well as the particle image velocimetry (PIV) are carried out to evaluate the concentration, velocity and vorticity fields near the contact line of the nano-particles-laden evaporating sessile droplets. After the onset of the linear thermocapillary instabilities due to the Marangoni perturbations, the non-linear state sets in and the micro-scale jet-like vortex structures are ejected from the contact line towards the center of the droplet. Afterwards, the jet-like vortical structures expand in the spanwise directions and start to interact with the neighbouring structures. Two types of the inverse cascade mechanisms are found to occur. In the first kind, the vortices of the similar length scale merge and continuously produce larger vortices and corresponding wavelength growth. The second inverse cascade mechanism takes place due to the entrainment of the smaller vortices into the larger structures. Both inverse cascade processes are identified as the continuous feeding of the kinetic energy from the smaller scales to the larger scales. For individual micro-jets the velocity field characterizes the jet-like vortex structures ejected from the contact line towards the droplet center opposing the bulk flow from the center towards the contact line. In addition, the vorticity field overlaid by the velocity streamlines identify the sense of rotation of the low pressure zones on either side of the micro-jet as well as the high pressure stagnation point at the tip.
机译:进行了显微成像以及粒子图像测速(PIV),以评估载有纳米粒子的蒸发无蒂液滴接触线附近的浓度,速度和涡度场。在由于Marangoni扰动而引起线性热毛细管不稳定性开始后,非线性状态开始形成,并且微尺度的喷射状涡旋结构从接触线朝液滴的中心喷射。之后,射流状的涡旋结构在翼展方向上膨胀并开始与相邻的结构相互作用。发现发生了两种类型的逆级联机制。在第一类中,相似长度尺度的涡旋合并并连续产生更大的涡旋和相应的波长增长。由于较小的涡流夹带进入较大的结构,因此发生了第二个反向叶栅机制。两种反向级联过程都被认为是动能从较小尺度到较大尺度的连续馈送。对于单个微喷嘴,速度场表征了从接触线向液滴中心喷射的射流状涡流结构,与从中心向接触线的总体流动相反。此外,由速度流线覆盖的涡流场可识别微喷口两侧的低压区的旋转方向以及尖端的高压停滞点。

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