We have derived balanced equations for continuous molecular (short-pat
h) distillation of a binary mixture in a falling film evaporator. The
relation of heat and mass transfer in liquid films on both the evapora
ting and condensing surfaces were taken into account, as well as the m
ass transfer in the vapor phase in the distillation gap. Individual ba
lance equations were coupled by boundary conditions into a closed set
of partial differential equations. By introducing the streams, we have
transformed partial differential equations into the simple form of or
dinary differential equations. These were solved numerically or approx
imately for some selected problems in isothermal (e.g., for turbulent
film on evaporation surface) and nonisothermal regimes and for the inf
luence of reevaporation from the condenser. These developed mathematic
al formulations can be used to model various operational situations in
a molecular evaporator or to evaluate the influence of some parameter
s on the molecular distillation process.