Dh. Chen et By. Pu, Studies on the binary coalescence model - II. Effects of drops size and interfacial tension on binary coalescence time, J COLL I SC, 243(2), 2001, pp. 433-443
A binary coalescence model of a two-component system of mixed oil drops in
water is established. The original coalescence driving force directly conne
cted to the chemical potential difference of the coalesced oil drops has be
en investigated under a mimetic "weightlessness" condition. Gravitation is
minimized nearly to zero to overcome drop deformation by mixing hydrocarbon
compounds and carbon tetrachloride. Any external force out of the drops is
reduced nearly to zero, when one liquid drop goes near enough to be tangen
tial to another. The coalescence time, defined as the binary coalescence ti
me (t(bi-coal)), can be expressed as
ink(d)sigma (1/r(1) - 1/r(2)) = k(b)t(bi-coal) + b'. [1]
The coalescence phenomenon was first proposed as initiated by chemical pote
ntial differences between liquid drops (B. Y. Yu, Ph.D. dissertation, Swiss
Fed. lost. Technol., Zurich, 1995). The greater the chemical potential dif
ference between two liquid drops, the larger the factor sigma (1/r(1) - 1/r
(2)); as a result, the coalescence tendency will increase (i.e., t(bi-coal)
decreases). Equation [1], including interfacial tension, drop size differe
nce, and thin-film coefficient supported by the experimental data, is quant
itatively established. (C) 2001 Academic Press.