Growth of a thin film as a result of mass transfer from a limited fluid poc
ket has been modeled. The numerical solution of the moving-boundary problem
has been obtained by freezing the time-dependent boundary through Landau t
ransformation. Effects of various physicochemical parameters on the growth
of film with time have been I,resented. Although originally developed for l
iquid films, the model successfully predicts the experimentally observed qu
alitative features of the growth of a solid him. This success takes us a st
ep closer to the larger goal of developing a unified model for growth of al
l kinds of thin films, involving diffusion as the principal mechanism of tr
ansport.