# FM 3

• Filtration

1.Rate of filtration

For filtration

2. Constant pressure filtration

At constant rate filtration, linear velocity dv/Adt  is constant. Therefore,

• Specific cake resistance
Linear velocity of filtrate is independent of L (distance from filter
medium), since filtrate must pass through entire cake, V/A is same for all layers.

• Bonds law
• 1. Equation for bonds law

2. Bonds law with work index

• Rittinger’s law

• Various diamters defined in solid operation and handling

1.Mass mean diameter

2.Volumetric mean diameter

3. Arithmetic mean diameter

4. Surface-Volume mean diameter

• Thickness of pressure vessels

1. Cylinder

2. Sphere

5. Conical section enclosure

• Sphericity

• Critical rotational speed for a ball mill

• Cyclone separator

2. Collection efficiency of cyclone separator

• Screen effectiveness

• Cumulative mass fraction
Cumulative mass fraction of particles is fraction of weight of particles having a size smaller than a given diameter of the screen.

2. Operations involving Particulate solids (Fluid
Particle Mechanics)

1. Filter

2. Separating particles

• For separating particles of different densities, the differential settling method uses a liquid sorting medium of density intermediate of those of the heavy and light particles

3. Filter cake resistance

• Specific cake resistance

For cake resistance

4. Tyler series

• Tyler series for screens is based on 200 mesh sieve opening 0.074mm and increasing uniformly @scale ratio of 2^1/4. Therefore, the ratio of aperture size of screen to that smaller screen is (2^1/4)2 = 2^1/2.