本文利用數值方法進行除潤過程中液滴在微柱表面成形的動態行為研究。本研究探討微液滴尺寸、微柱幾何尺寸以及除潤過程主要參數之相關性。經由因次分析，液滴的無因次直徑(d)以及形成時間(td*)，即以歐氏數(Oh)、毛細數(Ca)、液體的無因次厚度(H)以及接觸角()為除潤過程的主要無因次化參數。數值模擬顯示，微柱截面之形狀和方向在除潤過程中，尤其是在液滴形成之前，對於液面滴跨越微柱時之運動行為具有重要的影響。液滴在微柱上表面的形成時間大小取決於在除潤過程中的無因次化參數。液滴的無因次直徑(d)以及形成時間(td*)會隨著液膜的無因次厚度(H)增加，其中無因次厚度(H)之臨界值為2.5。歐氏數的減小會造成液滴之尺寸增加。減小接觸角可造成微柱上表面大部分產生潤濕狀態，導致大尺寸的微液滴。毛細數增加時，代表增大微柱上表面黏性力，可造成液滴直徑增加以及毛細數達到臨界值。當無因次厚度(H)小於2.5時，臨界毛細數為歐氏數、接觸角以及無因次厚度的函數；當無因次厚度(H)大於2.5時，臨界毛細數則為常數。液滴的無因次直徑(d)以及形成時間(td*)可以用無因次參數的多項式的乘積加以表示，當無因次厚度(H)大於1時，無因次直徑與形成時間趨於定值。

The dynamic behavior of droplet formation on a micropillar surface during a dewetting process is investigated in this study using a numerical approach. The formation of droplet is governed by the recoiling of captive wet region on the top surface of micropillar after the detachment of two bridge-shaped meniscuses from neighboring droplets. In this study, the correlation among the size of microdroplet, the geometrical parameters of micropillars, and the parameters that govern the dewetting process is theoretically investigated. Dimensional analysis is performed to determine independent dimensionless groups to characterize the dimensionless diameter (d) and formation time (td*) of the droplet which are functions of the Ohnesorge number (Oh), the Capillary number (Ca), the dimensionless liquid thickness (H), and the contact angle (). Numerical simulations show that the cross-sectional shape and orientation of the micropillar importantly determine the flow pattern of the dewetting process, and especially the evolution and movement of the meniscus across the micropillar before a microdroplet is formed. The simulation results also reveal that the size of microdroplet on the top surface of micropillar and the formation time of droplet depend on the parameters in the dewetting process. The values of d and td* increase with H, approaching asymptotic values as H tends toward the critical value of 2.5. Reducing the Ohnesorge number increases the diameter of the formed microdroplets. When the contact angle is small, most of the top surface of micropillar is wetted, resulting in the formation of large microdroplets. As the Capillary number increases, the viscous force on the top surface of micropillar also increases, causing growth of the droplet diameter until Ca reaches a critical value. For H < 2.5, the magnitude of critical Capillary number (Cac) depends on Oh, , and H*, while Cac is a constant for H  2.5. The dimensionless droplet diameter (d) and formation time (td*) of droplet can be expressed as products of polynomial functions of the dimensionless group, and both approach an asymptotic solution for H greater than unity.

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