TY - JOUR
T1 - Line energy, line tension and drop size
AU - Tadmor, Rafael
N1 - Funding Information:
Acknowledgment is made to the donors of the Petroleum Research Fund, administered by the American Chemical Society and to the National Science Foundation through Grant No. DMR-0619458 and for the Research Enhancement Grant of Lamar University for support of this research.
PY - 2008/7/15
Y1 - 2008/7/15
N2 - The relation between drop radius, r, the force to move the three phase contact line and the advancing and receding contact angles θA and θR is studied. To keep the line energy (energy per 2πr, also named line tension) independent of r, the modified Young equation predicts that the advancing and receding contact angles, θA and θR, change considerably with r. As shown by many investigators, θA and θR change negligibly, if at all, with r. We quantify recent evidences showing that the line energy is a function of the Laplace pressure and show that this way the modified Young equation is correct and still θA and θR should hardly change with r. According to our model, the small surface deformation associated with the unsatisfied normal component of the Young equation results in higher intermolecular interactions at the three phase contact line which corresponds to a higher retention force. This time increasing effect is supported by recent experiments.
AB - The relation between drop radius, r, the force to move the three phase contact line and the advancing and receding contact angles θA and θR is studied. To keep the line energy (energy per 2πr, also named line tension) independent of r, the modified Young equation predicts that the advancing and receding contact angles, θA and θR, change considerably with r. As shown by many investigators, θA and θR change negligibly, if at all, with r. We quantify recent evidences showing that the line energy is a function of the Laplace pressure and show that this way the modified Young equation is correct and still θA and θR should hardly change with r. According to our model, the small surface deformation associated with the unsatisfied normal component of the Young equation results in higher intermolecular interactions at the three phase contact line which corresponds to a higher retention force. This time increasing effect is supported by recent experiments.
KW - Interfaces
KW - Modified Young equation
KW - Retention force
KW - Surfaces
KW - Young equation
UR - http://www.scopus.com/inward/record.url?scp=48149105654&partnerID=8YFLogxK
U2 - 10.1016/j.susc.2008.05.018
DO - 10.1016/j.susc.2008.05.018
M3 - Article
AN - SCOPUS:48149105654
SN - 0039-6028
VL - 602
SP - L108-L111
JO - Surface Science
JF - Surface Science
IS - 14
ER -