326
M. Haumann et al. / Journal of Catalysis 263 (2009) 321–327
ꢂ
Table 1
4 · D · cb
eff
dp,max ꢀ
.
(8)
Parameters used for film and pore diffusion estimations.
r
eff
Parameter
Symbol
Unit
Value
Based on Eq. (8) a maximum particle diameter of 2.5 mm was
calculated. This value is large enough for several forms of SILP cat-
alysts to be applicable in a large scale hydroformylation process,
e.g. as cylinders, pellets or extrudates.
Based on the small Weisz–Prater modulus, the effectiveness fac-
tor was assumed to be close to 1. The correlation between the
Weisz–Prater modulus and the Thiele modulus for spherical par-
ticles is given in Eq. (9).
◦
bar
m
m
m
m s
Temperature
Pressure
T
p
dp
ν¯
C
130
10
1.32 × 10
1.45 × 10
0.01
−
5
Particle diameter
Viscosity of gas mixturea
Inner tube diameter
Gas velocity
Reynolds number
Molecular diffusion coefficient
2
−1
s
−5
dR
u0
Re
D12
DK
Deff
−1
−3
3.28 × 10
0.03
b
m2
m
m
−1
−1
−1
−6
−8
−9
s
s
s
2.48 × 10
1.27 × 10
8.97 × 10
0.9
c
2
Knudsen diffusion coefficient
2
Effective diffusion coefficient
Porosity
Tortuosityd
2
φ = η · ΦWP.
(9)
ε
τ
P
1.27
−
m s 1
mol s
mol m
−4
−5
Solving Eq. (8) for the Thiele modulus results in a value of
φ = 0.11.
Film diffusion rate constant
kfilm
n˙
1.20 × 10
1.43 × 10
55.64
0.16
56.11
−
1
1-Butene molar flow
1-Butene concentration
1-Butene conversion
1-Butene molar mass
−
3
cb
X
4
. Conclusion
kg kmol 1
kg
mol kg
mol m
kg m
−
M1
mcat
reff
−
3
Mass SILP catalyst
Mass related effective reaction rate
1.93 × 10
−
1
−3
In the present work we have applied a gradient-free gas phase
s
1.15 × 10
cat
reactor for the SILP catalyzed hydroformylation of 1-butene. The
use of such a Berty type reactor allowed the determination of
kinetic parameters without falsification from concentration or
temperature gradients. At low conversions around 10% the ac-
−
3
3
Volume related effective reaction rate
Density of catalyst bed
Mears criterion
Weisz–Prater modulus
Thiele modulus
reff
ρ
s
0.32
−
cat
430
−
3
CM
ΦWP
φ
4.75 × 10
−
2
1.11 × 10
0.11
◦
tivation energy has been determined between 80 and 110 C to
a
−1
Average viscosity calculated from the viscosities of pure compounds (1-butene,
H2, CO, He) according to the gas composition.
64.1 kJ mol , a value matching the result from fixed bed reactor
studies under similar conditions. Furthermore, this value is large
enough to account for absence of mass transport limitations from
the gas into the ionic liquid phase. In order to test for limitation
by film or pore diffusion, established criteria by Mears and Weisz–
Prater have been applied. In both cases it was found that the SILP
catalyst operates under no mass transport diffusion under the con-
ditions applied. This is an important outcome of our studies with
respect to possible application of the SILP technology for gas-phase
hydroformylation reactions.
The stability of the SILP catalyst material was investigated by
means of NMR in order to detect possible degradation products.
No ligand degradation products could be found in the NMR spec-
tra to a significant amount after 120 h time on stream. However,
partial and complete oxidation of the ligand was observed in the
NMR. Neither the partially nor the fully oxidized ligand seemed to
lower the catalyst performance in terms of activity or selectivity
significantly, thus it can be concluded that the oxidation occurred
during NMR sample preparation.
b
Calculated from a correlation by Hirschfelder et al. [15].
c
Calculated from Eq. (7).
d
Calculated according to a correlation by Dumanski [16].
The film diffusion rate constant kfilm was calculated from the
mass flow density J12 using correlations (3) and (4) [13,14].
J12 = 0.84 · Re−
0.51
= 5.04,
(3)
(4)
0
.67
Sh
k
· ν
film
J12 =
=
.
0.33
0.67
Re · Sc
u0 · D
1
2
From the data given in Table 1 a film diffusion rate constant
−4
−2
kfilm = 1.20 × 10
m s
and a Mears criterion of CMears = 0.0048
were calculated. The CMears-value is more than 30 times smaller
than the required Mears criterion limit. Under the conditions ap-
plied, film diffusion therefore has no influence on the SILP hydro-
formylation. The absence of film diffusion was further confirmed
by the large value for the activation energy.
We anticipate that the combination of SILP technology and
Berty reactor design will provide fast and reliable insight into var-
ious homogeneously catalyzed reactions in the near future.
Pore diffusion influence was tested with the help of the Weisz–
Prater criterion for spherical catalyst particles of diameter dp, given
by Eq. (5) for a first order reaction [17].
Acknowledgments
2
d
reff
p
ΦWP =
·
ꢀ 1.
(5)
4
Deff · cb
The authors would like to thank Michael Schmacks and Achim
Mannke for help with the Berty setup. Dr. Peter Schulz is gratefully
acknowledged for assistance with the NMR measurements. The au-
thors would like to thank Dr. Robert Franke from Evonik Oxeno
GmbH for fruitful discussions regarding the Mears and Weisz–
Prater criteria.
The effective diffusion coefficient for 1-butene was calculated
from Eq. (6) assuming an interplay between molecular and Knud-
sen diffusion (Eq. (7)) inside the catalyst particle.
ꢀ
ꢁ
1
τ
1
1
=
·
+
,
(6)
(7)
Deff
ε
P
D12
DK
References
ꢂ
T
DK = 48.5 · dp ·
.
[1] B. Cornils, W.A. Hermann, I.T. Horvath, W. Leitner, S. Mecking, H. Olivier-
Bourbigou, D. Vogt (Eds.), Multiphase Homogeneous Catalysis, Wiley–VCH,
Weinheim, 2005.
M1
From Eq. (5) a value for the Weisz–Prater modulus of ΦWP =
.0111 was calculated. This extremely low value indicates the ab-
sence of pore diffusion limitation on the overall reaction rate. By
rearranging Eq. (5) the maximum particle diameter was deter-
mined, when pore diffusion would begin to influence the overall
reaction rate and thus the effectiveness factor of the SILP catalyst.
[2] D.J. Cole-Hamilton, Science 299 (2003) 1702.
[3] (a) C.P. Mehnert, R.A. Cook, N.C. Dispenziere, M. Afeworki, J. Am. Chem.
Soc. 124 (2002) 12932;
0
(
(
(
b) A. Riisager, K.M. Eriksen, P. Wasserscheid, R. Fehrmann, Catal. Lett. 90
2003) 149;
c) A. Riisager, P. Wasserscheid, R. van Hal, R. Fehrmann, J. Catal. 219 (2003)
252;