Dairy Engineering

Module 3. Separation equipment

Lesson 13
SOLVING NUMERICAL

13.1 Problem on Gravitational Separation

Calculate the rate of rise of fat globule of diameter 3 microns at 20°C with a density of solids – not – fat as 1030 kg/m3 and that of fat globule as 930 kg/m3 and the viscosity of liquid as 1.79 x 10-3 Pa. S

Soln: V = d2. ( rs - rf) . g / ( 18 . micron)

= 3 x 3 x 10-12 x (1030 – 930) x 9.81 / (18 x 0.00179)

= 2.74022E-07 m/sec

= 0.00986 m/h

13.2 Problem on Centrifugal Separation

For the above problem 13.1 if radius of bowl , R = 0.14 m and RPM is 5500 rpm, determine the fat separation velocity.

Ans: Velocity of separation of fat, V = 0.0933 m/sec or 335.909 m/h

13.3 Determine the Capacity of Hermetic Cream Separator if

Solution

Q=C(2π)3 z Tanα (Ro3 - Rn3) n x
d2 10-12 ∆ρ /18 μ

Q = 7530 l/h