Gas absorption accompanied by first-order reversible and irreversible reactions in turbulent liquid films

The problem of absorption with a chemical reaction in a turbulent falling film is theoretically analyzed by assuming that the mass transport normal to the interface takes place as a combined molecular and turbulent mechanism. It is assumed that the eddy diffusivity is a function of the distance to the gas-liquid interface. A very simple and accurate approximate solution is obtained when chemical reactions are of first-order, reversible and irreversible, type. The main result is the expression for predicting the rate of mass transfer at the interface. When compared with results obtained from the surface renewal school it is found that most of them are encompassed by the final result using the eddy diffusivity model. It is concluded that surface renewal and eddy diffusivity models should not be considered as two different approaches to describe the same phenomenon since they are simply related.