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Summary: J Am Cenrm SOC, 77 12154&46(1994)
Equilibrium-State Density Profiles of Centrifuged Cakes
Wei-HengShih,*.+Wan Y. Shih,'.' Seong-I1Kim,5and Ilhan A. &say*.*
Department of Materials Engineering, Drexel University,Philadelphia, Pennsylvania 19104
Department of Chemical Engineering and Princeton MaterialsInstitute, Princeton University,
Princeton, New Jersey 08544-5211
Ferro Corporation, Santa Barbara, California 93117-3092
We have examined the equilibrium-state density profiles of
centrifuged cakes both theoretically and experimentally.
The theoretical density profiles were obtained by imple-
menting the experimental pressure-density relationship
into the general differential equation for centrifugation
with appropriate boundary conditions. With a power-law
pressure-density relationship, P = p+", we show that
M Z ) z Il(n-1)
&ax-= (1 - --) where &,ax is the density at the bot-
tom of the cake,z the distance measured from the bottom of
the cake, and z,,,the distance at which the cake density van-
ishes. Experimentally, the density profiles were examined
with y-ray densitometry. The predicted density profiles are
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