Analysis of simultaneous gas absorption and chemical reaction to a thin liquid film over a spinning disk

A theoretical analysis of the process of gas absorption to a thin liquid film on a horizontal rotating disk is presented. The film is formed by the impingement of a confined liquid jet at the center of the disk and subsequent radial spreading of liquid along the surface of the disk. The chemical reaction between the gas and the liquid film is expressed as a zero-order homogeneous reaction. The process is modeled by establishing equations for the conservation of mass, momentum, and species concentration and solving them analytically. The final solution is expressed using confluent hypergeometric functions. Results for gas concentration and Sherwood number are presented using Reynolds number, Ekman number, and chemical reaction rate as parameters.