The contact line of an evaporating droplet over a solid wedge and the pinned–unpinned transition

2016 ◽  
Vol 791 ◽  
pp. 519-538 ◽  
Author(s):  
Seok Hyun Hong ◽  
Marco A. Fontelos ◽  
Hyung Ju Hwang
Keyword(s):  
Differential Equation ◽  
Contact Line ◽  
Contact Angles ◽  
Liquid Interface ◽  
Stick Slip ◽  
Small Perturbations ◽  
Stability And Instability ◽  
The Stability ◽  
Stick Slip Motion ◽  
Slip Motion

We compute the equilibrium contact angles for an evaporating droplet whose contact line lies over a solid wedge. The stability of the liquid interface is also considered and an integro-differential equation for small perturbations is deduced. The analysis of this equation yields criteria for stability and instability of the contact line, where the instability represents transition from the pinned to unpinned contact line representative of stick–slip motion.

scholarly journals Contact line stick-slip motion and meniscus evolution on micrometer-size wavy fibres

2019 ◽  
Vol 540 ◽  
pp. 544-553
Author(s):  
C.A. Fuentes ◽  
M. Hatipogullari ◽  
S. Van Hoof ◽  
Y. Vitry ◽  
S. Dehaeck ◽  
...  
Keyword(s):  
Contact Line ◽  
Stick Slip ◽  
Micrometer Size ◽  
Stick Slip Motion ◽  
Slip Motion

scholarly journals Micro-Slip as a Loss of Determinacy in Dry-Friction Oscillators

2019 ◽  
Vol 29 (06) ◽  
pp. 1930015 ◽  
Author(s):  
S. Webber ◽  
M. R. Jeffrey
Keyword(s):  
Differential Equations ◽  
Dry Friction ◽  
Dynamical Theory ◽  
Stick Slip ◽  
Friction Forces ◽  
Mechanical Oscillators ◽  
The Stability ◽  
Stick Slip Motion ◽  
Friction Oscillators ◽  
Slip Motion

Dry-friction contacts in mechanical oscillators can be modeled using nonsmooth differential equations, and recent advances in dynamical theory are providing new insights into the stability and uniqueness of such oscillators. A classic model is that of spring-coupled masses undergoing stick-slip motion on a rough surface. Here, we present a phenomenon in which multiple masses transition from stick to slip almost simultaneously, but suffer a brief loss of determinacy in the process. The system evolution becomes many-valued, but quickly collapses back down to an infinitesimal set of outcomes, a sort of “micro-indeterminacy”. Though fleeting, the loss of determinacy means masses may each undergo different microscopic sequences of slipping events, before all masses ultimately slip. The microscopic loss of determinacy is visible in local changes in friction forces, and in creating a bistability of global stick-slip oscillations. If friction forces are coupled between the oscillators then the effect is more severe, as solutions are compressed instead onto two (or more) macroscopically different outcomes.

Effects of the Varying Normal Force on the Stick Slip Motion of Systems with Friction

2012 ◽  
Vol 479-481 ◽  
pp. 1078-1083 ◽  
Author(s):  
Li Lan Liu
Keyword(s):  
Normal Force ◽  
Jacobian Matrix ◽  
Mechanical Systems ◽  
Structure Design ◽  
Stick Slip ◽  
Driven System ◽  
Lugre Friction ◽  
The Stability ◽  
Stick Slip Motion ◽  
Slip Motion

In most cases, the normal force applied to mechanical systems with friction is supposed to be constant for convenience. However, through experiments, normal vibration has been proved to have an effect on the stability of mechanical systems. Aiming at uncover the effects of the varying normal force on the stick slip motion, a belt driven system with LuGre friction is investigated. The driving velocity is considered as the critical parameter for stick slip occurrence. By means of the Jacobian matrix and the Taylor expansion, the critical driving velocity is achieved analytically as a function of frequency and acceleration of the varying normal force. In addition, the influence of the varying normal force on the size of limit cycles is also studied numerically. Results show that the variation of the applied normal force has an obviously effect on the stability of mechanical systems, and it should not be ignored in the structure design and the stability analysis for high precision mechanical systems.

The effect of particle wettability on the stick-slip motion of the contact line

Soft Matter ◽  
2018 ◽  
Vol 14 (47) ◽  
pp. 9599-9608 ◽  
Author(s):  
Dong-Ook Kim ◽  
Min Pack ◽  
Arif Rokoni ◽  
Paul Kaneelil ◽  
Ying Sun
Keyword(s):  
Contact Line ◽  
Deposition Pattern ◽  
Stick Slip ◽  
Stick Slip Motion ◽  
Line P ◽  
Slip Motion ◽  
Contact Line Dynamics

Contact line dynamics and deposition pattern of a colloidal drop are strong functions of the particle wettability.

Dynamics of stick–slip motion, Whillans Ice Stream, Antarctica

2011 ◽  
Vol 305 (3-4) ◽  
pp. 283-289 ◽  
Author(s):  
J. Paul Winberry ◽  
Sridhar Anandakrishnan ◽  
Douglas A. Wiens ◽  
Richard B. Alley ◽  
Knut Christianson
Keyword(s):  
Stick Slip ◽  
Ice Stream ◽  
Whillans Ice Stream ◽  
Stick Slip Motion ◽  
Slip Motion
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