Exact solution of combined heat- and mass-transfer problem during film absorption

Finite element method solution of simultaneous two-dimensional heat and mass transfer in laminar film flow

“…In [3] the problem is solved analytically for an isothermal wall and a film velocity that is uniform over the film thickness (plug flow). In [4] the temperature entrance zone region is modelled, the parabolic velocity profile is approximated by a linear profile near the wall and an uniform profile near the interface.…”

“…Because of the special form of the boundary conditions at the free surface a new type of transformation has to be developed. In [3][4][5][6][7]12] the flow of the film perpendicular to the free surface due to the vapour absorption is neglected. In agreement with the model published in [14] our study shows that this assumption is not correct at the film interface.…”

Falling film absorption on a cylindrical tube

“…Andberg and Vliet (1983) numerically compute the solution for the absorption of LiBr into water at very low flow rates and include an enthalpy transport term in the energy equation; the mass transport equation is formally equivalent to the equation solved by Grossman (1983) and because of the low flow rate, mass transfer takes place over the entire film. Grigor'eva and Nakoryakov (1977) consider essentially the same problem as Grossman (1983) and Andberg and Vliet (1983) using an eigenfunction expansion technique. In all this work, the tube is assumed to be smooth and the film thickness is taken to be constant based on physical reasoning that the amount of fluid absorbed into the film is likely t o be small.…”

Characteristics of heat and mass transfer in vapor absorption of falling film flow on a horizontal tube

“…A series solution was used to solve the governing partial differential equations. After that they used similarity solution to the previous problem in a second paper [2]. Grossman [3,4] carried out theoretical analysis to calculate the absorption of gases in both laminar and turbulent liquid film.…”