Research Article
Influence of Bubble Evolution on the Effective
Kinetics of Heterogeneously Catalyzed
Gas/Liquid Reactions.
Part I: Reactions with Gaseous Products
For heterogeneously catalyzed multiphase reactions the formation of bubbles
may have an influence on mass and heat transfer as well as on the effective reac-
tion rate. This first of two contributions deals with the Ni-catalyzed decomposi-
tion of H
2
O
2
, which was used as a model system for an (almost) isothermal reac-
tion with a gaseous product. (In part II the strongly exothermic hydrogenation of
hexene will be analyzed, where gas/vapor bubbles may be generated by overheat-
ing of the catalyst.) The discharge of O
2
bubbles formed by decomposition of
H
2
O
2
enhances the external mass and heat transfer up to one order of magnitude.
This is in analogy to the well-known phenomena during nucleate boiling. The ex-
periments and theoretical considerations also show that the internal mass transfer
depends on the intensity of the reaction and thus on the H
2
O
2
concentration,
which is in contradiction to the classical Thiele approach. This discrepancy could
be explained by a modified model that takes the formation of bubbles into
account.
Keywords: Bubble evolution, H
2
O
2
decomposition, Mass and heat transfer,
Oscillation model
Received: December 23, 2009; revised: March 4, 2010; accepted: March 8, 2010
DOI: 10.1002/ceat.200900624
1 Introduction
Since the fundamental studies of Thiele [1] and Zeldovich [2]
on the interplay of a chemical reaction and the internal mass
transfer in catalytic particles it is well-known that the diffusion
of reactants may limit the achievable effective reaction rate.
This effect, i.e., the pore effectiveness factor, is also calculable
by the Thiele modulus. The same is true for the influence of
external heat and mass transfer, which is considered by correla-
tions for the external heat and mass transfer coefficients and
the corresponding Sherwood and Nusselt numbers. All these
theories are straightforward, if the reactants are present either
as liquids or gases. For multiphase reactions, where a gaseous
reactant is formed from a liquid reactant or for highly exother-
mic gas/liquid reactions in trickle-bed or bubble column reac-
tors where bubble formation may also occur, these theories are
not valid or at least only to a limited extent.
The effect of bubble formation and its influence on mass
and heat transfer were already described and discussed for
electrolysis and dissolution processes [3–7]. A common feature
of these processes is the generation of a gaseous reactant,
which leads at a certain point to the formation of gas bubbles.
A summary about the electrolytic gas evolution is given in [3],
where nucleation, growth, and detaching of bubbles is de-
scribed. Correlations for mass transfer at the electrodes are giv-
en and the analogy to heat transfer during nucleate boiling is
also mentioned. The superposition of bubble-induced and
convective mass transfer is described in [4]. Bubble evolution
during dissolution of magnesium in hydrochloric acid was
studied in [5]. The improved mass transfer is explained by the
convective flow caused by the evolution of bubbles. The influ-
ence of external stirring on the dissolution rate was also deter-
mined. At low concentrations, the effective rate is distinctly in-
fluenced by external stirring while for high concentrations
(and with it high dissolution rates) this effect becomes less,
because the stirring effect of the H
2
bubbles becomes domi-
nant. In the case of decomposition of calcite by nitric
acid, the impact of stirring was related to a decrease of the de-
parture diameter and thus to an improvement of the mass
transfer [6].
Chem. Eng. Technol. 2010, 33, No. 6, 911–920 © 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.cet-journal.com
Thomas Oehmichen
1
Leonid Datsevich
1
Andreas Jess
1
1
Department of Chemical
Engineering, University of
Bayreuth, Bayreuth, Germany.
–
Correspondence: Prof. Dr. A. Jess (jess@uni-bayreuth.de), Department
of Chemical Engineering, University of Bayreuth, D-95440 Bayreuth,
Germany.
Bubble evolution 911