K. Hijikata et al., THEORETICAL AND EXPERIMENTAL STUDIES ON THE PSEUDO-DROPWISE CONDENSATION OF A BINARY VAPOR MIXTURE, Journal of heat transfer, 118(1), 1996, pp. 140-147
When a water-ethanol binary mixture condenses on a flat plate, one obs
erves that the liquid film condensate rises locally and eventually for
ms many droplets on the film. Usually, filmwise condensation is expect
ed because both substances are completely soluble in each other and th
ey wet a copper plate well. This paper presents the droplet growth mec
hanism during so-called pseudo-dropwise condensation. Instability anal
ysis is used to determine the transition from filmwise condensation to
pseudo-dropwise condensation theoretically. In a stress balance at th
e vapor-liquid interface, the analysis considers not only the surface
tension itself but also the surface tension variation due to changes i
n temperature and concentration, assuming saturation conditions at the
interface. Numerical results indicate that the Marangoni effect plays
a more important role than the absolute value of the surface tension
in pseudo-dropwise condensation. The change in surface tension with te
mperature is nor always negative; it becomes positive for certain mixt
ures due to the dependence on concentration Pseudo-dropwise condensati
on is only realized when surface tension increases with temperature. T
his analysis qualitatively predicts the critical Marangoni number expe
rimentally observed during water-ethanol mixture condensation.