Up: Appendix B: Using Previous: Assumption 2: Uniform
For averages over the volume distribution of the particles, either assumption can again be
used. The starting points are the same for each assumption. Assuming a uniform distribution by
volume within a sieve of the particles,
the volume average < ... > V is

which uses eq. (17), but with V = 4π r 3/3 and dV = 4π r 2 dr. The equation for the assumption of a uniform distribution, within a sieve, of the particles by radius, is

which uses eq. (23).