Abstract
Transient mass transfer and chemical reaction in isothermal continuous-flow and batch agitated reactors is studied mathematically. Analytical solutions are derived in the form of infinite integrals. The solutions include the effects of fluid-to-particle diffusion, intraparticle diffusion and reversible first-order adsorption for a first-order reaction on the particle surface. The conversion at steady-state is explored in some detail. An efficient numerical scheme for evaluating the infinite integral in the transient solution is given. A large number of calculations are presented, for both the continuous feed and the batch reactor, for the case with negligible adsorption rate resistance. The influences of the different mass transfer resistances on the conversion are clearly demonstrated.
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