A CCD camera technique was developed to measure instantaneous particle velocities in a thin
bubbling bed for fluidization of 530 μm glass beads. The hydrodynamic velocities were computed
by averaging the instantaneous velocities over the velocity space using the concepts of kinetic
theory. Laminar-type kinetic stresses and granular temperatures were computed from the
measurement of instantaneous velocities. Bubblelike granular temperatures were computed from
the hydrodynamic velocities. The measured Reynolds normal stresses per unit bulk density in
the vertical direction were 8 times larger than the measured Reynolds normal stresses per unit
bulk density in the lateral direction because of higher velocity fluctuations for particles in the
bubble-flow region. The sum of the measured shear stresses was equal to the pressure drop
minus the weight of the bed of solids within experimental error. The restitution coefficients for
530 μm glass beads, estimated from the ratio of shear to normal stresses, are in the range of
0.99. The mixing in the bubbling and turbulent fluidized beds is due to laminarlike particle
oscillations measured by the conventional granular temperature and due to bubblelike granular
temperatures produced by the motion of bubbles. The bubblelike granular temperature is much
larger than the particle granular temperature. In the center of the riser, the particle granular
temperature was about 3 times larger than the Reynolds-like granular temperature. These
observations are consistent with the literature of particle dispersion in bubbling beds, such as
the early Ruckenstein analysis of homogeneous and bubbling beds.
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