GENERAL COAGULATION THEORY IN THE CONTINUUM REPRESENTATION.

General coagulation theory in the continuum representation is dealt with in a previous work where kinetic equations are derived for agglomeration in an ideal-mixing batch apparatus arising from collision between particles; the equations for the moments are derived in general form, and a general analytic solution is derived to the kinetic equations for a constant kernel which describes agglomeration on k collisions between particles. The author derives general analytic solutions to two equations for the case where the kernel of (1) is dependent on the sum and product of the particle masses. It follows from the expression for N that the mass spectrum evolves indefinitely, while the second moment given by the author's equation is bounded for any finite time. However, it is shown that this no longer applies for a kernel dependent on the product of the coagulating-particle masses. We derive a general analytic solution to the second model problem.