Nomenclature

A constant

A diraensionless coefficient or Archimedes force, N

Ar Archimedes number, dimensionless

3j sphericity function a coefficient accounting for liquid entrapped between sludge layers as acceleration, m/sec2

B parameter, m

C concentration, kg/m3

Cr constant or centrifugal force, N

C0 upward gas stream velocity, m/sec.

CD drag coefficient d particle diameter or distance, in., /xm

E field intensity, V/sec-m

Eu Euler number, dimensionless

F area, m2

G average gravity force, N

Ga Galileo number, dimensionless

SEDIMENTATION, CLARIFICATION, FLOTATION AND COALESCENCE

K

settling velocity correction factor

Kf

time constant

K„K

2 coefficients

Ks

separation number

k

settling flux constant

L

length, in. or m

Ly

Lyachshenko number, dimensionless

LHS

left hand side, dimensionless

mp

particle mass, kg

P

pressure, N/m2 or force, N

Q

mass feed rate, kg/s or volumetric flowrate in m3/hr

R

drag or resistance force, N

Rc

physical properties correction factor for slurries

Re

Reynolds number, dimensionless

RHS

right hand side

h

hydraulic radius, m

s,

product of Archimedes number and separation number, dimensionless

S2

sedimentation number, dimensionless

T, t

time, sec. or temperature in °C or °F

u

velocity, m/sec

u.

terminal settling velocity, m/sec

V

volume, m3

W

total mass, kg

w

velocity, m/sec

X

sludge height, m

X

distance, m

x'

liquid volume fraction

Z

height of compression zone, m

328

WATER AND WASTEWATER TREATMENT TECHNOLOGIES

Greek Symbols

a

angle, deg.

P

ratio of liquid volume entrained to total sludge volume, or angle

Y

specific weight, kgf/m3

e

void fraction

■Pv

volume fraction of particles in a slurry

6(e)

experimental function of void fraction

X

length of mean free path, m

M

viscosity, poise

V

kinematic viscosity, m2/sec

vH

terminal velocity for hindered settling, m/sec potential difference, V

P

density, kg/m3

a

ratio of particle surface area to volume, m_1

i

force, N, or stress, N/m2

T

dimensionless settling number or Lyashenko number

$

parameter

sphericity factor

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