Rolling motion in moving droplets

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• 作者：SUMESH P THAMPI (1)
  RAMA GOVINDARAJAN (2)
  
  1. The Rudolf Peierls Centre for Theoretical Physics ; 1 Keble Road ; Oxford ; OX1 3NP ; UK
  2. TIFR Centre for Interdisciplinary Sciences ; Tata Institute of Fundamental Research ; Hyderabad ; 500 075 ; India
  
• 关键词：Rolling and sliding drops ; lattice Boltzmann ; isoperimetric quotient ; 47.55.nb
• 刊名：Pramana
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：84
• 期：3
• 页码：409-421
• 全文大小：647 KB
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• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Astronomy
  Astrophysics
  
• 出版者：Springer India
• ISSN：0973-7111

文摘

Drops moving on a substrate under the action of gravity display both rolling and sliding motions. The two limits of a thin sheet-like drop in sliding motion on a surface, and a spherical drop in roll, have been extensively studied. We are interested in intermediate shapes. We quantify the contribution of rolling motion for any intermediate shape, and recently obtained a universal curve for the amount of roll as a function of a shape parameter using hybrid lattice Boltzmann simulations. In this paper, we discuss the linear relationship which is expected between the Capillary and Bond numbers, and provide detailed confirmation by simulations. We also show that the viscosity of the surrounding medium can qualitatively affect dynamics. Our results provide an answer to a natural question of whether drops roll or slide on a surface and carry implications for various applications where rolling motion may or may not be preferred.