Model for Rolling Angle

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• 作者：Ran Minghao ; Yang Chengxia ; Fang Yuan ; Zhao Kaikai ; Ruan Yaqin ; Wu Jie ; Yang Hong ; Liu Yinfeng
• 刊名：The Journal of Physical Chemistry C
• 出版年：2012
• 出版时间：April 19, 2012
• 年：2012
• 卷：116
• 期：15
• 页码：8449-8455
• 全文大小：344K
• 年卷期：v.116,no.15(April 19, 2012)
• ISSN：1932-7455

文摘

A new method was proposed to estimate the rolling angle of a droplet on a superhydrophobic surface. Based on the relationship between the adhesion work and the force moment of the spherical droplet, a rolling angle model was established. For smooth surfaces, the equation we obtained is sin 伪 鈮?[(4纬_l)/(g路未)]路[(3蟺²)/(蟻m²)]^1/3[(1 + cos 胃)²/(3 + cos 胃)][(2 + cos 胃)/(1 鈥?cos 胃)]^2/3, and for rough surfaces, the equation is sin 伪 鈮?[(4f纬_l)/(g路未)]路[(3蟺²)/(蟻m²)]^1/3{[(1 + q cos 胃_Y)(1 + cos 胃)]/(3 + cos 胃)}[(2 + cos 胃)/(1 鈥?cos 胃)]^2/3. The relationship between the rolling angle, the contact angle, and the surface structure was investigated. The equations we obtained revealed the factors that have important influences on the rolling angle, including the surface roughness, the trapped air, the mass of droplet, and the chemical composition of the surface. The simulation results showed that the rolling angle decreases with the increases of the contact angle, the surface roughness, the proportion of trapped air, the weight of the droplet, and the hydrophobicity of the surface material. These results agreed well with the most widely used explanation of other researchers.