D-square law


The d-square law or -law is a relationship between diameter and time for an isolated, spherical droplet when it evaporates quasi-steadily, which was first observed by Boris Sreznevsky in 1882, and was explained by Irving Langmuir in 1918. If and are the droplet diameter and time, then -law pertains to the relation
where is the initial time, is the initial droplet diameter and is called the evaporation constant.

Crespo–Liñán correction

Crespo–Liñán correction refers to a small correction of the order to the d-square law in terms of the small parameter, the ratio of gas to liquid density. Antonio Crespo and Amable Liñán showed that the quasi-steady approximation is correct in the inner zone having the size on the order of droplet diameter, but becomes invalid in an outer zone with a size larger than the droplet diameter by the factor of, where the unsteady terms cannot be neglected.