Bulletin of the American Physical Society
76th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 19–21, 2023; Washington, DC
Session G19: Dynamic Surface Interactions II
3:00 PM–4:05 PM,
Sunday, November 19, 2023
Room: 146B
Chair: Mehdi Mortazavi, Worcester Polytechnic Institute
Abstract: G19.00003 : Drops spreading and retracting and forming a rim
3:26 PM–3:39 PM
Presenter:
Yotam Stern
(Ben Gurion University Of The Negev)
Authors:
Yotam Stern
(Ben Gurion University Of The Negev)
Rafael Tadmor
(Ben Gurion University Of The Negev)
Victor Multanen
(Ben Gurion University Of The Negev)
The spreading of the drop is modelled by lubrication theory followed by scaling analysis. At low surfactant concentrations, spreading conforms to Tanner’s law whereby the base radius scales as rB~t1/10. Surfactant adsorption is modelled by Langmuir kinetics and the dynamic solid-vapor surface energy, γSV, and solid-liquid interfacial energy, γSL, are both modelled in accordance with the dynamic adsorption coupled with spreading of the drop.
The retraction process is then considered qualitatively, where fluctuations near the triple line are propagated by hydrodynamic instability. At low surfactant concentrations, this instability is also responsible for a noticeable rim which is left behind after retraction. We also show that the width of the rim increases with decreasing surfactant concentration.
We provide experimental support to the theoretical explanation with octadecylamine-laden tetradecane drops on mica. The drops are filmed with a high-speed camera and then analyzed via frame-by-frame software. For all concentrations tested, we find good agreement with both the analytical and qualitative portions of the theory.
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