Most multiphase chemical reactors are complex systems. This paper explores
the multiscale nature of complex systems in chemical engineering and the in
trinsic mechanism of the scale-up effect. Two approaches-multiscale and pse
udoparticle-are discussed, which we believe to be effective and promising i
n revealing underlying mechanisms and extracting simplicity in complex syst
ems. Heterogeneous structure, the most important characteristic of complex
systems and a crucial aspect in scaling up reactors, is analyzed as the foc
us of this paper. The multiscale approach follows the strategy of structure
resolution in describing the heterogeneous structure and mechanism comprom
ise in defining the variational criterion. The pseudoparticle approach desc
ribes the heterogeneous structure by discretizing the fluid into pseudopart
icles with a size much smaller than that of the real particles, that is, th
e particle-fluid interaction is treated as the interaction between real par
ticles and pseudoparticles. This paper outlines the respective advantages a
nd prospects of these two approaches and explores some concepts in understa
nding complex systems.