CENTRIFUGATION
Dr. Leonardo C. Medina Jr.
Perrys Chemical
Engineers Handbook
8th Edition
7th Edition
Section 18
Section 18
Pages 114 to 151
Pages 106 to 133
Centrifugation  is a mechanical
process of separating multi-phase
mixture (usually fluid-solid system) via
the use of centrifugal force.
Centrifugal Sedimentation
Centrifugal Filtration
Centrifugal Decantation
CENTRIFUGAL
FORCE
,
,
Acceleration due to
ae  r
centrifugal force,
where: r = radius,
2
mv
 = angular velocity,
2
F
ma
mr
c
e
rad/s
r
Centrifugal Force,
60 60
2N
where v = linear
velocity
60
2
2r
In terms of the
2
2
2
rotation, N in
Fc mr v r  2N 
rev/min, and
Fg mg rg g  60 
Force ratio:
2
CLARIFYING CENTRIFUGE
Settling process (sedimentation) due to the
difference in densities of the solid and fluid
media. The most common type of equipment
used is a Sharples centrifuge.
Assuming STOKES LAW applies: Centrifugal force
balance on solid in the fluid media gives
 r 
2
ut 
ut 
2
p
18 
2
18 
 D 2p
dr
dt
Tubular Centrifuge
Nozzle-Discharge Centrifuge
Disk Centrifuge
Particle Trajectory in
Centrifugal Sedimentation
integrating the above equation for a Sharples
centrifuge will give the capacity, qc given by
qc 
18 
2
pc
 r2  r2
1
 2
 ln 2 r2
 r1  r2
where qc is the capacity or the flow rate of
slurry such that particles larger than the
cut size D pc can be separated
If the thickness of the fluid in the
centrifuge is small, Ut is constant,
and the capacity becomes
qc 
2b  p  
2
2 2
D pc r2
CENTRIFUGAL FILTRATION
For Filtration:  P  v  mc a  R 
m
gc  A
but
and
 ( r  r )
2
2
2
2 gc
q
A
2
1
Top Suspended Basket
Centrifuge
Automatic Batch Centrifuge
Reciprocating Conveyor
Continuous Centrifuge
Centrifugal Filter
Therefore, the capacity of a centrifugal
filter becomes,
2
r2
 m c
2 
2
 A
 r1
Rm 
A 
2
If change in area with radius is large,
Where:
2
r2
 r1
 mc
Rm
2  
A2
 AL Aa
A a  ri  r2   b
AL  2b r2  ri  / ln r2 / ri 
A 2  2  r2 b