Find the diameter of a rotary drum filter rotating at 0.2 rev/min operated at 0.7 bar with a submergence of 30% and a length to diameter ratio of 1.5. A dry cake production capacity of 1 kg/s is required for suspension having the following characteristics:

Liquid density

Liquid viscosity

Wet/dry cake mass ratio Specific cake resistance

rho = 1000kg / (m ^ 3)

mu = 0.001Ns / (m ^ 2)

m = 1.45

alpha = 3.03 * 10 ^ 7 * (Delta*p) ^ 0.2

It may be assumed that the resistance of the medium is negligible but concentration e should be corrected for moisture content.