TY - JOUR
T1 - Shape of a small sessile drop and the determination of contact angle
AU - O'Brien, Stephen B.G.M.
AU - Van Den Brule, Ben H.A.A.
PY - 1991
Y1 - 1991
N2 - Free liquid surfaces in equilibrium are described by the Laplace capillary equation with suitable boundary conditions generally given in terms of the contact angle. By a fortuitous formulation in the axisymmetric case, the second order ordinary differential equation can be reduced to a pair of coupled first-order equations. For the case of a small liquid drop, the present formulation allows perturbation solutions to second order to be derived in closed form. Furthermore the solutions obtained can be used to calculate contact angles, if the height and maximum width of the drop is known, the method being equally simple whether the contact angle is less than or greater than 90°.
AB - Free liquid surfaces in equilibrium are described by the Laplace capillary equation with suitable boundary conditions generally given in terms of the contact angle. By a fortuitous formulation in the axisymmetric case, the second order ordinary differential equation can be reduced to a pair of coupled first-order equations. For the case of a small liquid drop, the present formulation allows perturbation solutions to second order to be derived in closed form. Furthermore the solutions obtained can be used to calculate contact angles, if the height and maximum width of the drop is known, the method being equally simple whether the contact angle is less than or greater than 90°.
UR - http://www.scopus.com/inward/record.url?scp=0344656793&partnerID=8YFLogxK
U2 - 10.1039/FT9918701579
DO - 10.1039/FT9918701579
M3 - Article
AN - SCOPUS:0344656793
SN - 0956-5000
VL - 87
SP - 1579
EP - 1583
JO - Journal of the Chemical Society, Faraday Transactions
JF - Journal of the Chemical Society, Faraday Transactions
IS - 10
ER -