where V_t = total volume, V_0 = void volume, and V_c = column volume.
For a typical pressure drop of 10^5 Pa:
where ρ_c = cell density, ρ_m = medium density, d = cell diameter, ω = angular velocity, and μ = medium viscosity. bioseparations science and engineering solution manual
Solving for ω and a_c:
where V_t = total volume, V_0 = void volume, and V_c = column volume.
For a typical pressure drop of 10^5 Pa:
where ρ_c = cell density, ρ_m = medium density, d = cell diameter, ω = angular velocity, and μ = medium viscosity.
Solving for ω and a_c: