Mjw. Frank et al., MODELING OF SIMULTANEOUS MASS AND HEAT-TRANSFER WITH CHEMICAL-REACTION USING THE MAXWELL-STEFAN THEORY .1. MODEL DEVELOPMENT AND ISOTHERMALSTUDY, Chemical Engineering Science, 50(10), 1995, pp. 1645-1659
A general applicable model has been developed which can predict mass a
nd heat transfer fluxes through a vapour/gas-liquid interface in case
a reversible chemical reaction with associated heat effect takes place
in the Liquid phase. In this model the Maxwell-Stefan theory has been
used to describe the transport of mass and heat. The description of t
he transfer rates has been based on the film model in which a well-mix
ed bulk and a stagnant zone are thought to exist. In this paper result
s obtained from the Maxwell-Stefan theory have been compared with the
results obtained from the classical theory due to Fick. This has been
done for isothermal absorption of a pure gas A in a solvent containing
a reactive component B. Component A is allowed to react by a unimolec
ular chemical reaction or by a bimolecular chemical reaction with B to
produce component C. Since the Maxwell-Stefan theory leads to implici
t expressions for the absorption rates, approximate explicit expressio
ns have been derived. In case of absorption with chemical reaction it
turned out that the mass transfer rate could be formulated as the prod
uct of the mass flux for physical absorption and an enhancement factor
. This enhancement factor possesses the same functional dependency in
case Fick's law is used to describe the mass transfer process. The mod
el which has been developed in this work is quite general and can be u
sed for a rather general class of gas-liquid and vapour-liquid transfe
r processes. In this paper (Part I) only isothermal simulations will b
e reported to show the important features of the model for describing
mass transfer with chemical reaction. In many processes such as distil
lation, reactive distillation and some absorption processes, heat effe
cts may play an important additional role. In Part II non-isothermal p
rocesses will be studied to investigate the influence of heat effects
on mass transfer rates.