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Equilibrium state of aggregation in suspensions comprising linear clusters
Authors:Ruben D Cohen
Institution:(1) Department of Mechanical Engineering and Materials Science, Rice University, 77251 Houston, Texas
Abstract:The final state of aggregation in a suspension containing nonbranching, one-dimensional (linear) flocs is investigated. Allowing coagulation to occur at a finite secondary minimum of magnitudeV* rather than the infinite primary well, it is realized that the system eventually reaches steady state where a relatively large number of flocs coexist at equilibrium. It is shown that, under this condition, the number of flocs¯N expected to result is exponentially related to –V* and directly proportional to 
$$\sqrt {N_0 } $$
, whereN o is the initial number of individual particles in the suspension.
Keywords:Equilibrium aggregation  linear flocculation  one-dimensional clusters  secondary-well aggregation  flocculation at secondary well
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