Model of spontaneous droplet transport on a soft viscoelastic substrate with nonuniform thickness,Physical Review E

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Model of spontaneous droplet transport on a soft viscoelastic substrate with nonuniform thickness
Physical Review E ( IF 2.2 ) Pub Date : 2021-09-24 , DOI: 10.1103/physreve.104.034611
S I Tamim ₁ , J B Bostwick ₁

Affiliation

Dynamic wetting of droplets on soft solids has many industrial and biological applications which require an understanding of the underlying fluid transport mechanism. Here we study the case of a droplet on a viscoelastic substrate of variable thickness which is known to give rise to a spontaneous droplet transport. This phenomenon is known as droplet durotaxis and has been observed experimentally. Here we develop a model assuming a small linear gradient in substrate thickness to reveal the physical mechanism behind this transport phenomena. We show the variable thickness causes an asymmetric deformation along the drop contact line, which causes a variation in the contact angle. This generates a net driving force on the drop, causing it to move in the direction of higher thickness. The resulting drop velocity is determined by balancing the work done by the moving drop with the viscoelastic dissipation of the substrate (viscoelastic braking) and computed from a self-consistent model. We find our results to be in qualitative agreement to previously reported experimental findings.

中文翻译：

具有不均匀厚度的软粘弹性基底上的自发液滴传输模型

软固体上液滴的动态润湿有许多工业和生物应用，需要了解潜在的流体传输机制。在这里，我们研究了在可变厚度粘弹性基底上的液滴的情况，已知该液滴会引起自发的液滴传输。这种现象被称为液滴durotaxis，并已通过实验观察到。在这里，我们开发了一个模型，假设基板厚度有一个小的线性梯度，以揭示这种传输现象背后的物理机制。我们展示了可变厚度会导致沿液滴接触线的不对称变形，从而导致接触角的变化。这会在液滴上产生净驱动力，使其向更厚的方向移动。最终的液滴速度是通过平衡移动液滴所做的功与基底的粘弹性耗散（粘弹性制动）并根据自洽模型计算得出的。我们发现我们的结果与先前报告的实验结果定性一致。

更新日期：2021-09-24

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