Drift instability in the motion of a fluid droplet with a chemically reactive surface driven by Marangoni flow

Natsuhiko Yoshinaga; Ken H. Nagai; Yutaka Sumino; Hiroyuki Kitahata

doi:10.1103/PhysRevE.86.016108

Drift instability in the motion of a fluid droplet with a chemically reactive surface driven by Marangoni flow

Natsuhiko Yoshinaga, Ken H. Nagai, Yutaka Sumino, Hiroyuki Kitahata

Advanced Institute for Materials Research (AIMR)

Research output: Contribution to journal › Article › peer-review

67 Citations (Scopus)

Abstract

We theoretically derive the amplitude equations for a self-propelled droplet driven by Marangoni flow. As advective flow driven by surface tension gradient is enhanced, the stationary state becomes unstable and the droplet starts to move. The velocity of the droplet is determined from a cubic nonlinear term in the amplitude equations. The obtained critical point and the characteristic velocity are well supported by numerical simulations.

Original language	English
Article number	016108
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	86
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.86.016108
Publication status	Published - 2012 Jul 16

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.86.016108

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abstract = "We theoretically derive the amplitude equations for a self-propelled droplet driven by Marangoni flow. As advective flow driven by surface tension gradient is enhanced, the stationary state becomes unstable and the droplet starts to move. The velocity of the droplet is determined from a cubic nonlinear term in the amplitude equations. The obtained critical point and the characteristic velocity are well supported by numerical simulations.",

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AB - We theoretically derive the amplitude equations for a self-propelled droplet driven by Marangoni flow. As advective flow driven by surface tension gradient is enhanced, the stationary state becomes unstable and the droplet starts to move. The velocity of the droplet is determined from a cubic nonlinear term in the amplitude equations. The obtained critical point and the characteristic velocity are well supported by numerical simulations.

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Drift instability in the motion of a fluid droplet with a chemically reactive surface driven by Marangoni flow

Abstract

ASJC Scopus subject areas

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