Educ. Reso. for Part. Techn. 014Q-Rhodes
<http://www.erpt.org/014Q/rhoe-00.htm>
Copyright © 2001 Martin Rhodes, Licensed to ERPT
Pneumatic Transport of Powders, by Martin Rhodes
-- 8: Notation --
A = cross-sectional area of pipe [m2]
CD = drag coefficient -
D = pipe diameter [m]
fg = Fanning friction factor -
fp = solids-wall friction factor, defined by Eqn. (19) -
Fgw = gas-to-wall friction force per unit volume of pipe [Pa/m]
Fpw = solids-to-wall friction force per unit volume of pipe [Pa/m]
FN = number of particles per unit volume of pipe [m-3]
Fv = force exerted by particles on the pipe wall
per unit volume of pipe [Pa/m]
g = acceleration due to gravity [m/s2]
G = solids mass flux = Mp/A [kg/(m2 s)]
H = height of solids in standpipe [m]
L = length of pipe [m]
LH = length of horizontal pipe [m]
LV = length of vertical pipe [m]
Mf = gas mass flow rate [kg/s]
Mp = solids mass flow rate [kg/s]
Qf = volumetric flow of gas [3/s]
Qp = volumetric flow of solids [3/s]
p = pressure [Pa]
p / L = pressure gradient [Pa/m]
U = superficial gas velocity (=Qf/A) [m/s]
UCH = choking velocity (superficial) [m/s]
USALT = saltation velocity (superficial) [m/s]
Uf = actual or interstitial gas velocity [m/s]
UfH = interstitial gas velocity in horizontal pipe [m/s]
Ufv = interstitial gas velocity in vertical pipe [m/s]
USLIP = slip velocity (Uf - Up) [m/s]
Urel = relative velocity (= Uslip = Uf
- Up) [m/s]
|Urel| = magnitude of Urel [m/s]
Up =a ctual solids velocity [m/s]
UpH =actual solids velocity in horizontal pipe [m/s]
Upv = actual solids velocity in vertical pipe [m/s]
UT = single particle terminal velocity [m/s]
x = particle diameter [m]
xsv = surface-volume mean particle size [m]
= suspension voidage -
CH = suspension voidage at choking -
H = suspension voidage in horizontal pipe -
v = suspension voidage in vertical pipe -
f = gas density [kg/m3]
p = particle density [kg/m3]