The first right-hand side term describes the source (or birth) of new particles as larger particles with a volume from v to infinity break into two or more smaller particles including one with a volume of
v. The second term, the sink (or death), describes the loss of particles with the volume
v due to breakage. Rewritten on a size basis
Equation 3-182 becomes
Here, S is a selection function and
b is a probability density function. Note that these functions are a function of volume in
Equation 3-182 but a function of size in
Equation 3-183. The discretized formulation is written as (
Ref. 7)
where S0 is a constant controlling the breakage rate and
γ is the average number of resulting particles from the breakage of a larger particle.
