The necessary condition for the formation and dissolution of the dissi
pative structure in particle-fluid two-phase flow has been investigate
d, revealing its origin in the compromise between the movement tendenc
ies of the particles and the fluid. As soon as either the particles ca
n dominate the fluid, or the fluid can dominate the particles, the dis
sipative structure either dissolves or a newly formed coexisting unifo
rm structure appears. At this transition point, operating conditions a
nd material properties alone become insufficient to ensure the steady
state. Quantification of such a complicated structure calls for some m
ode of multiple resolution, for instance, it could be resolved with re
spect first to scale and then to amplitude and periodicity. (C) 1998 E
lsevier Science Ltd. All rights reserved.