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ixed bed catalytic reactors are the most-used
reactor type for large-scale heterogeneously catalyzed gas-phase reactions. In particular, multitubular fixed beds with
low tube-to-particle diameter ratio (N) are used for strongly exothermic reactions such as partial oxidations and selective
hydrogenations as well as strongly endothermic reactions such as steam reforming of methane. In these processes heat
must be rapidly transferred into or out of a narrow reactor tube, while the need to reduce compressor costs dictates a low
pressure drop along the tube, and thus the particle size cannot too small. These constraints combine to give tubes with low
values of N, in which the presence of the tube wall has a strong influence on heat transfer which in turn affects reaction rates
and selectivity. In such cases it is important to accurately describe the factors limiting the rate of heat transfer at the wall
[Derkx, O. and Dixon, A.G., 1996;
Dixon, A.G., 1996;
Derkx, O. and Dixon, A.G., 1997].
The rates of heat and mass transfer from the wall
of a fixed bed to a fluid flowing through it are necessary for equipment design. The wall viscous boundary layer and the change
in packing structure next to the containing
surface give rise to extra transport resistances, which are usually represented as being localized at the surface. The extra
resistance to heat transfer at the wall of a catalytic fixed bed reactor, in particular, has received much attention. The extra resistance
to mass transfer near the wall is also frequently studied, to give insight into the analogous heat transfer resistance in the fluid phase
[Dixon, A.G., DiCostanzo, M.A. and Soucy, B.A., 1984;
Dixon, A.G. and LaBua, L., 1985].
From our earlier work, the wall-to-fluid mass-transfer coefficient (dimensionless wall-to-fluid Sherwood number,
Shwf) was relatively well-correlated for Re > 100 and for most N values greater than about 3. The
two main methods of conducting the studies, dissolution of a coating and the limiting current technique, were thought
to both give Shwf and were in good agreement. What was not known was the behavior of such low-N
systems at low to moderate Re. We found
[Dixon, A.G., Arias, J. and Willey, J., 2003]
that the electrochemical method in fact gave an overall Sherwood number Shov that included
mass transfer resistance in the bed center. The dissolution method gave the near-wall coefficient Shwf. This
caused the two dimensionless groups to behave differently as Re tended to zero.
The main results are shown in the two figures on this page, click if you want more details.
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