EFFECT OF INTRAPARTICLE CONVECTION ON THE TRANSIENT-BEHAVIOR OF FIXED-BED REACTORS - FINITE-DIFFERENCES AND COLLOCATION METHODS FOR SOLVINGUNIDIMENSIONAL MODELS
Rmq. Ferreira et al., EFFECT OF INTRAPARTICLE CONVECTION ON THE TRANSIENT-BEHAVIOR OF FIXED-BED REACTORS - FINITE-DIFFERENCES AND COLLOCATION METHODS FOR SOLVINGUNIDIMENSIONAL MODELS, Computers & chemical engineering, 20(10), 1996, pp. 1201-1225
The effect of intraparticle convective flow inside large-pore catalyst
s (e.g. selective oxidation catalysts) on the transient behavior of fi
xed-bed catalytic reactors is analysed by using three different transi
ent reactor models: the 1-D, heterogeneous, intraparticle diffusion/co
nvection model, the 1-D, heterogeneous, intraparticle diffusion model
and the pseudo-homogeneous model as a reference model. Results from th
ese 1-D models were compared with those obtained in a previous paper w
hen radial dispersion was taken into account. The process start-up ana
lysis was achieved by feeding the reactor when heated at the wall temp
erature. The high capacity of the catalytic bed leads to a faster prop
agation of the transient concentration waves than of the thermal ones,
developing sharp concentration fronts during the so-called pseudo-iso
thermal behavior of the reactor. When the transient regime inside the
solid is considered these shock waves are smeared out showing differen
t velocities associated with the intraparticle diffusive and convectiv
e transports. Higher reactant conversions are achieved when intraparti
cle convection is allowed. Besides being centered on the transient res
ponses of large-pore systems, this paper also addresses numerical stud
ies to allow a good representation of the dynamic features referred to
above. The numerical solution for the model equations was obtained th
rough the lines method. The performance of two different methods used
on the space variables discretization, orthogonal collocation on finit
e elements and finite differences is discussed. A strategy of dividing
the bed length into sections solved one after the other to avoid larg
e dimension problems was also implemented. Important reductions in com
puting times can be obtained by using the pseudo steady-state approxim
ation for the intraparticle concentration profile and taking as initia
l condition the axial concentration profile corresponding to the pseud
o-steady-state isothermal solution. Moreover, accounting for the axial
dispersion on the model equations, the numerical integration becomes
easier to perform with significative reductions in the CPU times. (C)
1996 Published by Elsevier Science Ltd