By Erdogan Alper
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Extra resources for Mass transfer with chemical reaction in multiphase systems (NATO ASI series) Volume I: Two-Phase Systems
It is not con stant throughout the film. However, an average value of the reac tion rate can be defined as follows : r 1 - a avg f a. ~ r da (19) o which will be negative in desorption and positive in absorption. The average curvature is ravglD, while the average gradient is (a. l9 reduces to : 0 1. 20 can be interpreted as a "reaction time", t r . Indeed, it represents the time required by the reaction to change the concentration over the interval I a i - aol ,should the reaction take place at the average rate over that interval.
Con dition 20 the reaction requires much more time than the diffusion phenomenon-hence, the reaction does not influence the diffusion, and no enhancement is observed. 17. 17 is coupled with the diffusion of all other liquid components. The problem formulated in such a general form is very difficult to solve. However, a major arises from the following considerations. The concentrations b. in the film will in general be different from bjo' and the diffe~ence is to be greatest interface itself. However, suppose that the following con is satisfied for all the bj's: - b.
In the liquid phase). 16 implies that the rate of reaction is not constant throughout the liquid, since its·" value depends on the local comp£. sition of the liquid phase. 17 shows that the curvature will be non-zero when reactions take place. In particular, the curvat~ re will be positive in absorption and negative in desorption, but in both cases the effect of the chemical reaction is to make the concentration gradient at the interface steeper that it would be in the absence of chemical reactions.
Mass transfer with chemical reaction in multiphase systems (NATO ASI series) Volume I: Two-Phase Systems by Erdogan Alper