Assuming ρ_m = 1 g/cm^3 and μ = 0.01 Pa·s:
a_c = 104 * 0.1 = 1000 g Problem 3 : A protein solution has a concentration of 1 mg/mL and a viscosity of 0.01 Pa·s. The solution is to be filtered using a 0.2 μm pore size membrane. Calculate the flux through the membrane. bioseparations science and engineering solution manual
where ρ_c = cell density, ρ_m = medium density, d = cell diameter, ω = angular velocity, and μ = medium viscosity. Assuming ρ_m = 1 g/cm^3 and μ = 0
where V_t = total volume, V_0 = void volume, and V_c = column volume. ρ_m = medium density
For a typical pressure drop of 10^5 Pa:
Solving for ω and a_c:
ω = 104 rad/s