Figure 15. Predicted shortest addition period at various
temperatures of actual plant reactor.
Figure 16. Maximum temperature of the reaction in case of a
cooling failure (Tcf).
Chart 3. Equations for calculating the Damk o1 hler number
Table 3. Scale-up results of this reaction
a
and Tcf equations
yield, %
2
π
1
Da )
) kC2initialt
2
(
1 - x)
scale addn period, h temp range, °C
1
3
2
lab
plant
∼1
1.3
∼30
25-27
90-95 0.3-0.8
93.4 0.8
T ) T +
∆Tad
cf
r
x
π(Da)
a
Da is the Damk o¨ hler number, x is the conversion of starting material 2, k
is the rate constant of the main reaction, C2initial is the concentration of 2 at the
start of reaction, t is the reaction time, Tcf is the maximum temperature in the
is the reaction temperature, ∆Tad is the adiabatic
temperature rise of this reaction (about 40 °C), and π is the circular constant.
case of a cooling failure, T
r
the cooling ability of the reactor was worse than the estimated
cooling ability and/or the addition period became longer than
2
h, the yield of 3 was calculated to be 0.9% and the Tcf was
In order to decrease the byproduct, the addition period
should be short (Figure 13), but the minimum addition period
depended on the cooling ability of the actual reactor. By
considering the cooling ability, the shortest addition period
calculated as 57.2 °C. When the temperature was 30 °C for
the same addition period (1.7 h), the yield of 3 would be
0
.9% and the Tcf would be 56.8 °C. These differences in
the yield of 3 and the Tcf seemed not to be a severe problem
in this process. Therefore, the temperature for the addition
of dimethylamine could be between 25 and 30 °C.
Summary. We have simulated this process with high
quality, high productivity, and safety in the plant by studying
the reaction kinetics. After these studies, we did scale
testing. For temperature control, we used partial brine flow
6
for keeping the reaction at 25 °C was calculated to be 1.7 h
(Figure 15). So we thought that the best set of conditions
was addition of dimethylamine as rapidly as possible with
the temperature kept at about 25 °C (1.7 h).
Next, we studied the reaction from a safety point of view.
When the reaction was terminated, the time needed after the
addition of dimethylamine and the heat accumulation was
not clear (Figure 4). Therefore, we had to establish the
conditions under which the heat accumulation would be
lower. When the reaction temperature is low, the heat
accumulation becomes large because of the slow reaction,
and the maximum temperature in the case of a cooling failure
(-5 °C) during and after the dimethylamine addition. The
cooling ability of the reactor was better than estimated, and
the addition period was shorter than 1.7 h, which were good
for quality and productivity. The results are shown in Table
3
.
In this case, we have studied only isothermal conditions,
(Tcf) will be high. On the other hand, when the reaction
but expanding to nonisothermal conditions will make it
possible to find an easier way to control the operation with
high-quality product. We intend as the next step to simulate
the process under nonisothermal conditions.
temperature is high, the heat accumulation becomes small,
but it means that the starting temperature is high, so the Tcf
also becomes high. In these cases, the Tcf can be calculated
using the Damk o¨ her number (Da), which is the dimensionless
number for the reaction rate (Chart 3).7 According to the
equations in Chart 3, the Tcf of this process could be
calculated for various temperatures and addition periods
Experimental Section
All materials were commercially available. (3-Bromopro-
pyl)triphenylphosphonium bromide (2) was purchased from
Manac Incorporated (>97% purity), and MeOH and 50%
aqueous dimethylamine were purchased from Ishizu Seiyaku,
Ltd. For an analytical sample, the product, [3-(dimethyl-
amino)propyl]triphenylphosphonium bromide (1), was pur-
chased from Aldrich Co.
(Figure 16). It was thought that the lower the Tcf is, the
easier it is to control the reaction temperature if a cooling
failure occurrs, which provides more safety.
Using the best conditions from a quality point of view of
“25 °C, 1.7 h addition” (yield of byproduct 3 was calculated
to be 0.8% in this case), the Tcf was estimated as 59.6 °C. If
The analysis of the reaction was carried out using the
1
HPLC internal standard method as described below. H and
(
6) The shortest addition period was calculated from the balance of the total
heat production and the cooling capacity of the actual reactor in which this
reaction was operated.
1
3
C NMR spectra were recorded on a Bruker AC300
spectrometer with TMS as the internal standard. IR spectra
were recorded on a Shimadzu FTIR-4300.
(7) (a) Hugo, P.; Steinbach, J.; Stoessel, F. Chem. Eng. Sci. 1988, 43, 2147.
(b) Stoessel, F. Chem. Eng. Prog. 1995, 9, 46.
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