TY - JOUR
T1 - Dynamics of Fattening and Thinning 2D Sessile Droplets
AU - Pradas, M.
AU - Savva, N.
AU - Benziger, Jay Burton
AU - Kevrekidis, Yannis
AU - Kalliadasis, S.
N1 - Funding Information:
S.K. thanks the Department of Chemical and Biological Engineering of Princeton University for hospitality during a sabbatical visit. We acknowledge financial support by the European Research Council through Advanced Grant No. 247031. The work of I.G.K. was partially supported by the US National Science Foundation. I.G.K. also thanks the TUMInstitute for Advanced Study where he is currently Hans-Fischer Senior Fellow.
Publisher Copyright:
© 2016 American Chemical Society.
PY - 2016/5/17
Y1 - 2016/5/17
N2 - We investigate the dynamics of a droplet on a planar substrate as the droplet volume changes dynamically due to liquid being pumped in or out through a pore. We adopt a diffuse-interface formulation which is appropriately modified to account for a localized inflow-outflow boundary condition (the pore) at the bottom of the droplet, hence allowing to dynamically control its volume, as the droplet moves on a flat substrate with a periodic chemical pattern. We find that the droplet undergoes a stick-slip motion as the volume is increased (fattening droplet) which can be monitored by tracking the droplet contact points. If we then switch over to outflow conditions (thinning droplet), the droplet follows a different path (i.e., the distance of the droplet midpoint from the pore location evolves differently), giving rise to a hysteretic behavior. By means of geometrical arguments, we are able to theoretically construct the full bifurcation diagram of the droplet equilibria (positions and droplet shapes) as the droplet volume is changed, finding excellent agreement with time-dependent computations of our diffuse-interface model.
AB - We investigate the dynamics of a droplet on a planar substrate as the droplet volume changes dynamically due to liquid being pumped in or out through a pore. We adopt a diffuse-interface formulation which is appropriately modified to account for a localized inflow-outflow boundary condition (the pore) at the bottom of the droplet, hence allowing to dynamically control its volume, as the droplet moves on a flat substrate with a periodic chemical pattern. We find that the droplet undergoes a stick-slip motion as the volume is increased (fattening droplet) which can be monitored by tracking the droplet contact points. If we then switch over to outflow conditions (thinning droplet), the droplet follows a different path (i.e., the distance of the droplet midpoint from the pore location evolves differently), giving rise to a hysteretic behavior. By means of geometrical arguments, we are able to theoretically construct the full bifurcation diagram of the droplet equilibria (positions and droplet shapes) as the droplet volume is changed, finding excellent agreement with time-dependent computations of our diffuse-interface model.
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U2 - 10.1021/acs.langmuir.6b00256
DO - 10.1021/acs.langmuir.6b00256
M3 - Article
C2 - 27077328
AN - SCOPUS:84969871805
SN - 0743-7463
VL - 32
SP - 4736
EP - 4745
JO - Langmuir
JF - Langmuir
IS - 19
ER -