4.7 Article

Mathematical model for self-propelled droplets driven by interfacial tension

Journal

JOURNAL OF CHEMICAL PHYSICS
Volume 144, Issue 11, Pages -

Publisher

AMER INST PHYSICS
DOI: 10.1063/1.4943582

Keywords

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Funding

  1. Ministry of Education, Culture, Sports, Science and Technology of Japan [26610112, 21340023, 26520205]
  2. Cooperative Research Program of Network Joint Research Center for Materials and Devices [2015052, 2014007, 2015020]
  3. Sumitomo Foundation [131130]
  4. Grants-in-Aid for Scientific Research [15K05199, 15KT0104, 26520205, 26247015, 26610112, 21340023] Funding Source: KAKEN

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We propose a model for the spontaneous motion of a droplet induced by inhomogeneity in interfacial tension. The model is derived from a variation of the Lagrangian of the system and we use a time-discretized Morse flow scheme to perform its numerical simulations. Our model can naturally simulate the dynamics of a single droplet, as well as that of multiple droplets, where the volume of each droplet is conserved. We reproduced the ballistic motion and fission of a droplet, and the collision of two droplets was also examined numerically. (C) 2016 AIP Publishing LLC.

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