a |
interfacial area per volume, ft2/ft3 or m2/m3 |
ap |
surface area/volume, m2/m3 |
ap1, ap2, ap3, aT1, aT2, aT6 |
|
A,B,C |
constants in Antoine Eq. (2-34) |
A,B,C,D,E |
constants in Eq. (2-60) |
A,B,C,D |
constants in matrix form of mass balances, Eqs. (6-13) and (12-58) |
AE, BE, CE, DE |
constants in matrix form of energy balances, Eq. (6-34) |
Aactive |
active area of tray, ft2 or m2 |
Ac |
cross sectional area of column, ft2 or m2 |
Ad |
downcomer area, ft2 or m2 |
Adu |
flow area under downcomer apron, Eq. (10-28), ft2 |
Ahole |
area of holes in column, ft2 |
AI |
interfacial area between two phases, ft2 or m2 |
Anet |
net area, Eq. (10-13), ft2 or m2 |
b |
equilibrium constant for linear equilibrium, y = mx + b |
B |
bottoms flow rate, kg mole/hr or lb mole/hr |
C |
number of components |
CBM |
bare module cost, Chapter 11 |
CfL |
vapor load coefficient, Eq. (15-38) |
Co |
orifice coefficient, Eq. (10-25) |
Cp |
heat capacity, Btu/lb° F or Btu/lbmole° F or cal/g° C or cal/g mole° C, etc. |
Cp |
base purchase cost, Chapter 11 |
Cp,size |
packing size factor, Table 10-5 |
CpW |
water heat capacity |
Cs |
capacity factor at flood, Eq. (10-48) |
Csb |
capacity factor, Eq. (10-8) |
d |
dampening factor, Eq. (2-57) |
D |
dampening factor, Eq. (2-57) |
D |
diffusivity, cm2/s or ft2/hr |
D, Dia |
diameter of column, ft or m |
D′col |
column diameter, see Table 15-2, ft |
Dtotal |
total amount of distillate (Chapter 09), moles or kg distillate flow rate, kg mole/hr or lb mole/hr |
absolute entrainment, moles/hr |
|
E |
extract flow rate (Chapters 13 and 14), kg/hr |
Ê |
mass extract, kg |
Ek |
value of energy function for trial k, Eq. (2-51) |
EML, EMV |
Murphree liquid and vapor efficiencies, Eqs. (4-58) and (4-59) |
Eo |
Overall efficiency, Eq. (4-56) |
Ept |
|
Esettler |
Holdup extract phase in settler, kg |
f = V/F |
fraction vaporized |
f(x) |
equilibrium function, Chapter 09 |
fk(V/F) |
Rachford-Rice function for trial K, Eq. (2-42) |
F |
packing factor, Figure 10-25 and Tables 10-3 and 10-4 |
F |
degrees of freedom, Eq. (2-2) |
F |
charge to still pot (Chapter 09), moles or kg |
F |
mass of feed in batch extraction, kg |
F |
feed flow rate, kgmole/hr or lbmol/hr or kg/hr etc. |
FD |
diluent flow rate (Chapter 13), kg/hr |
Flv, FP |
, flow parameter |
Fm |
material factor for cost, Table 11-1 |
Fp |
|
Fq |
quality factor for cost, Eq. (11-7) |
Fs,Fsolv |
flow rate solvent (Chapter 13), kg/hr |
Fsolid |
solids flow rate in leaching, kg insoluble solid/hr |
Fw |
modification factor, Eq. (10-26) and Figure 10-20 |
gap |
gap from downcomer apron to tray, Eq. (10-28), ft |
g |
32.2 ft/s2, 9.81 m/s2 |
G |
flow rate carrier gas, kgmole/hr or kg/hr |
G′ |
gas flux, lb/s ft2 |
h |
pressure drop in head of clear liquid, inches liquid |
h |
height of liquid on stage (Chapter 15), ft |
h |
height, m or ft |
h |
liquid enthalpy, kcal/kg, Btu/lb mole, etc. |
h |
step size in Euler’s method = Δt, Eq. (8-29) |
pure component enthalpy |
|
hf |
enthalpy of liquid leaving feed stage |
hF |
feed enthalpy (liquid, vapor or two-phase) |
ho |
hole diameter, inches |
hp |
packing height, ft or m |
htotal |
height of flash drum, ft or m |
H |
|
H |
molar holdup of liquid on tray, Eq. (8-27) |
H |
vapor enthalpy, kcal/kg, Btu/lbmole, etc. |
HG |
height of gas phase transfer unit, ft or m |
HL |
height of liquid phase transfer unit, ft or m |
HOG |
height of overall gas phase transfer unit, ft or m |
height of overall liquid phase transfer unit, ft or m |
|
HETP |
height equivalent to a theoretical plate, ft or m |
HTU |
height of a transfer unit, ft or m |
JA |
flux with respect to molar average velocity of fluid |
individual mass transfer coefficients in liquid and vapor phases, see Table 15-2 |
|
k′y |
mass transfer coefficient in concentrated solutions, Eq. (15-43) |
kx, ky |
individual mass transfer coefficient in weight units |
KD |
y/x, distribution coefficient for dilute extraction |
K, Ki |
yi/xi, equilibrium vapor-liquid ratio |
Kdrum |
parameter to calculate uperm for flash drums, Eq. (2-59) |
Kx, Ky |
overall mass transfer coefficient in liquid or vapor, lbmoles/ft2 hr |
lw |
weir length, ft |
L |
liquid flow rate, kgmoles/hr or lbmoles/hr |
mass liquid flow rate, lb/hr (Chapter 15) |
|
L′ |
liquid flux, lb/(s)(ft2) |
Lg |
liquid flow rate in gal/min, Chapter 10 |
m |
linear equilibrium constant, y = mx + b |
m |
local slope of equilibrium curve, Eq. (15-56) |
m |
ratio HETPpractical/HETPpacking Eq. (10-46) |
M |
flow rate of mixed stream (Chapter 14), kg/hr |
M |
multiplier times (L/D)min (Chapter 07) |
MW |
molecular weight |
n |
moles |
nG |
number of gas phase transfer units |
nL |
number of liquid phase transfer units |
nOG |
number of overall gas phase transfer units |
nOL |
number of overall liquid phase transfer units |
norg |
moles organic in vapor in steam distillation |
nw |
moles water in vapor in steam distillation |
N |
number of stages |
NA |
flux of A, lbmoles/(hr)(ft2) or kgmoles/(hr)(m2) |
Nf,Nfeed |
feed stage |
Nmin |
number of stages at total reflux |
Nfeed,min |
estimated feed stage location at total reflux |
NTU |
number of transfer units |
O |
total overflow rate in washing, kg/hr |
p, ptot |
pressure, atm, kPa, psi, bar etc. |
, pB |
partial pressure |
P |
Number of phases |
Q |
LF/F = (L − L)/F, feed quality |
Q |
amount of energy transferred, Btu/hr, kcal/hr etc. |
Qc |
condenser heat load |
Qflash |
heat loss from flash drum |
QR |
reboiler heat load |
r |
radius of column, ft or m |
R |
gas constant |
R |
raffinate flow rate (Chapts. 13 and 14), kg/hr |
mass raffinate, kg |
|
Raffinate holdup in settler, kg |
|
Raffinate holdup in tank, kg |
|
S |
solvent flow rate (Chapter 08) kgmoles/hr or lbmoles /hr |
S |
tray spacing, inches, Eq. (10-47) |
S |
moles second solvent in constant-level batch distillation |
Ŝ |
mass of solvent, kg |
S |
solvent flow rate (Chapter 14), kg/hr |
ScL |
Schmidt number for liquid = µ/ρD |
Scv |
Schmidt number for vapor = µ/ρD |
t |
time, s, min, or hr |
tbatch |
period for batch distillation, Eq. (9-27) |
tdown |
down time in batch distillation |
toperating |
operating time in batch distillation |
tres |
residence time in downcomer, Eq. (10-30), s |
ttray |
tray thickness, inches |
T |
temperature,° C,° F, K or° R |
Tref |
reference temperature |
u |
vapor velocity, cm/s or ft/s |
uflood |
flooding velocity, Eq. (10-8) |
uop |
operating velocity, Eq. (10-11) |
uperm |
permissible vapor velocity, Eq. (2-59) |
U |
underflow liquid rate, (Chapter 13), kg/hr |
v |
superficial vapor velocity, ft/s |
vo |
vapor velocity through holes, Eq. (10-29), ft/s |
vo,bal |
velocity where valve is balanced, Eq. (10-36) |
V |
vapor flow rate, kgmoles/hr or lbmoles/hr |
V |
molal volume Eq. (13-6) |
Vmax |
maximum vapor flow rate |
Vsettler |
volume settler, m3 |
Vtank |
volume tank, m3 |
Vsurge |
surge volume in flash drum, Figure 2-11, ft3 |
VP |
vapor pressure, same units as p |
WL |
liquid flow rate, kg/hr or lb/hr |
WL |
liquid mass flux, lb/s ft2 or lb/hr ft2, (Chapter 15) |
WV |
vapor flow rate, kg/hr or lb/hr |
x |
weight or mole fraction in liquid |
x |
[L/D − (L/D)min]/(L/D + 1) in Eqs. (7-42) |
x* |
equilibrium mole fraction in liquid |
xi,k, xi,k+1 |
trials for integration, Eq. (8-29) |
xI |
interfacial mole fraction in liquid |
x*out |
liquid mole fraction in equilibrium with inlet gas, Eq. (15-35b) |
X |
weight or mole ratio in liquid |
y |
weight or mole fraction in vapor |
y* |
equilibrium mole fraction in vapor |
y*out |
vapor mole fraction in equilibrium with inlet liquid in counter current system, Eq. (15-35a) or in equilibrium with outlet liquid in cocurrent contactor, Eq. (15-71) |
interfacial mole fraction in vapor |
|
mass fraction in vapor |
|
Y |
weight or mole ratio in vapor |
z |
weight or mole fraction in feed |
z |
axial distance in bed (Chapter 15) |
αAB |
KA/KB, relative volatility |
β |
Ahole/Aactive |
γ |
activity coefficient |
δp |
characteristic dimension of packing, inch, Eq. (10-39a) |
δi |
solubility parameter, Eq. (13-6) |
Δ |
change in variable |
ΔEv |
latent energy of vaporization, Eq. (13-6) |
ε |
limit for convergence |
η |
fraction of column available for vapor flow |
θ |
angle of downcomer, Figure 10-18B |
λ |
latent heat of vaporization, kcal/kg, Btu/lb, Btu/lbmole etc. |
µ |
viscosity, cp |
µw |
viscosity of water, cp |
ρL |
liquid density, g/cm3 or lb/ft3 or kg/m3 |
ρV |
vapor density |
σ |
surface tension, dynes/cm |
φ |
liquid phase packing parameter, Eq. (15-38) |
φdc |
relative froth density in downcomer, Eq. (10-29) |
ψ |
ρwater/ρL, Chapter 10 |
ψ |
e/(e + L), fractional entrainment, Chapter 10 |
ψ |
packing parameter for gas phase, Eq. (15-37) |
a, aj |
term in quadratic equations for well-mixed membrane systems, Eqs. (16-10b), (16-74a) and (16-74a) |
constant in expression to calculate osmotic pressure, kPa/mole fraction, Eq. (16-15a) |
|
a′ |
constant in expression to calculate osmotic pressure, kPa/weight fraction, Eq. (16-15b) |
ai |
activities, Eq. (16-51) |
A |
membrane area available for mass transfer, cm2 or m2 |
b, bj |
term in quadratic equations for well-mixed membrane systems, Eqs. (16-10c), (16-74b), and (16-74b) |
c, cj |
term in quadratic equations for well-mixed membrane systems, Eqs. (16-10d), (16-74c) and (16-74c) |
c |
concentration, g solute/L solution |
cout |
outlet concentration of solute, g/L |
cp |
permeate concentration of solute, g/L |
cw |
concentration of solute at wall, g/L |
c′ |
water concentration in permeate in Figure 16-17 |
liquid heat capacity of permeate, kJ/(kg°C) |
|
CPV,p |
vapor heat capacity of permeate, kJ/(kg°C) |
dt |
diameter of tube, cm |
dtank |
tank diameter, cm |
D |
diffusivity in solution, cm2/s |
Dm |
diffusivity in the membrane, cm2/s |
Fp |
volumetric flow rate of permeate, cm3/s |
Fout |
volumetric flow rate of exiting retentate, cm3/s |
Fsolv |
volumetric flow rate of solvent in RO, cm3/s |
molar flow rate, gmole/s, gmole/min, etc. |
|
F′ |
mass flow rate, g/s, g/min, kg/min, etc. |
h |
½ distance between parallel plates, cm |
hin |
enthalpy of inlet liquid stream in pervaporation, kJ/kg |
hout |
enthalpy of outlet liquid retentate stream in pervaporation, kJ/kg |
HA |
solubility parameter, cc(STP)/[cm3 (cm Hg)] |
Hp |
enthalpy of vapor permeate stream in pervaporation, kJ/kg |
k |
mass transfer coefficient, typically cm/s, Eq. (16-33) |
Ksolv |
permeability of the solvent through membrane, L/(atm m2 day) or similar units |
j |
counter for stage location in staged models in Figure 16-20 |
J |
volumetric flux, cm3/(s cm2) or m3/(m2 day), Eq. (16-1b) |
J′ |
mass flux, g/(s cm2)or g/(m2 day), Eq. (16-1c) |
mole flux, gmole/(s cm2) or kg mole/(day m2), Eq. (16-1d) |
|
K′A |
solute permeability, g/(m day wt frac) |
Km,i |
rate transfer term for multicomponent gas permeation, dimensionless, Eq. (16-11d) |
L |
tube length, cm |
M |
concentration polarization modulus in wt. fraction units, dimensionless, Eq. (16-17) |
Mc |
concentration polarization modulus in concentration units, dimensionless, Eq. (16-48) |
MW |
molecular weight, g/gmole or kg/kg mole |
N |
number of well-mixed stages in models in Figure 16-20 |
p |
pressure, Pa, kPa, atm, mm Hg, etc. |
pA |
partial pressure of species A, Pa, atm, mm Hg, etc. |
pp |
total pressure on the permeate (low pressure) side, Pa, kPa, atm, mm Hg, etc. |
pr |
total pressure on the retentate (high pressure) side, Pa, kPa, atm, mm Hg, etc. |
PA |
permeability of species A in the membrane, cc(STP) cm/[cm2 s cm Hg] |
R |
rejection coefficient in wt frac units, dimensionless, Eq. (16-24) |
R° |
inherent rejection coefficient (M = 1), dimensionless, Eq. (16-24) |
Rc |
rejection coefficient in conc. units, dimensionless, Eq. (16-48) |
R |
tube radius, cm |
Re |
Reynolds number, dimensionless, Eq. (16-35b) |
Sc |
Schmidt number, dimensionless, Eq. (16-35c) |
Sh |
Sherwood number, dimensionless, Eq. (16-35a) |
tms |
thickness of membrane skin doing separation, µm, mm, cm or m |
T |
temperature,°C |
Tref |
reference temperature,°C |
bulk velocity in tube, cm/s |
|
vsolvent |
partial molar volume of the solvent, cm3/gmole |
x |
wt frac of retentate in pervaporation. In binary system refers to more permeable species. |
xg |
wt frac at which solute gels in UF |
xp |
wt frac solute in liquid permeate in RO and UF |
xr |
wt frac solute in retentate in RO and UF |
y |
wt frac of permeate in pervaporation. In binary system refers to more permeable species. |
yp |
mole fraction solute in gas permeate for gas permeation |
yr |
mole fraction solute in gas retentate for gas permeation |
yr,w |
mole fraction solute in gas retentate at membrane wall |
yt,A |
mole fraction solute A in gas that transfers through the membrane |
α |
selectivity, dimensionless, Gas Permeation: Eq. (16-4b), RO: Eq. (16-20), pervaporation: Eq. (16-53a) |
Δx |
difference in wt frac of solute across the membrane |
Δπ |
difference in the osmotic pressure across the membrane, Pa, atm, mm Hg, etc. |
π |
osmotic pressure, Pa, kPa, atm, mm Hg, etc. |
θ |
, with flows in molar units, dimensionless |
θ′ |
cut = F′p/F′in in flows in mass units, dimensionless |
µ |
viscosity, centipoise or g/(cm s) |
ν = µ/ρ |
kinematic viscosity, cm2/s |
ρsolv |
mass solvent density, kg/m3 |
molar solvent density, kg mol/m3 |
|
λp |
mass latent heat of vaporization of the permeate in pervaporation determined at the reference temperature, kJ/kg |
Ω |
stirrer speed in radians/s |
a |
constant in Langmuir isotherm, same units as q/c, Eq. (17-6c) |
a |
argument for error function, dimensionless, Eq. (17-70), Table 17-6 |
ap |
surface area of the particles per volume, m−1 |
Ac |
cross sectional area of column, m2 |
Aw |
wall surface area per volume of column for heat transfer, m−1 |
b |
constant in Langmuir isotherm, (concentration)−1, Eq. (17-6c) |
cA |
concentration of species A, kg/m3, kg moles/ m3, g/liter, etc. |
ci |
concentration of species i, kg/m3,kg moles/ m3, g/liter, etc., or |
ci |
concentration of ion i in solution, typically equivalents/m3 |
concentration of species i that would be in equilibrium with , same units as ci |
|
average concentration of solute in pore, same units as ci |
|
cpore |
fluid concentration at surface of adsorbent pores, same units as ci |
ci,surface |
fluid concentration at surface of particles, εp = 0, same units as ci |
cRi |
concentration of ion i on the resin, typically equivalents/m3 |
cRT |
total concentration of ions on the resin, typically equivalents/m3 |
cT |
total concentration of ions in solution, typically equivalents/m3 |
constant relating solute velocity to interstitial velocity, dimensionless, Eq. (17-15e) |
|
CP,f |
heat capacity of the fluid, cal/(g°C), cal/(g mol°C), J/(g K), etc. |
CP,p |
heat capacity of particle including pore fluid, same units CP,f |
CP,s |
heat capacity of the solid, same units as CP,f |
CP,w |
heat capacity of the wall, same units as CP,f |
dp |
particle diameter, cm or m |
D |
desorbent rate in SMB, same units as F |
D/F |
desorbent to feed ratio in SMB, dimensionless |
Dcol |
column diameter, m or cm |
D |
diffusivity including both molecular and Knudsen diffusivities, m2/s or cm2/s |
Deffective |
effective diffusivity, m2/s or cm2/s, Eq. (17-4) |
DK |
Knudsen diffusivity, m2/s or cm2/s, Eq. (17-51) |
Dmolecular |
molecular diffusivity in free solution, m2/s or cm2/s |
Ds |
surface diffusivity, m2/s or cm2/s, Eq. (17-53) |
erf |
error function, Eq. (17-70) and Table 17-7 |
ED |
axial dispersion coefficient due to both eddy and molecular effects, m2/s or cm2/s |
EDT |
thermal axial dispersion coefficient, m2/s or cm2/s |
Eeff |
effective axial dispersion coefficient, same units ED, Eq. (17-68) |
F |
volumetric feed rate, e.g., m3/h, cm3/min, liter/h |
hp |
particle heat transfer coefficient, J/(K s m2) or similar units |
hw |
wall heat transfer coefficient, J/(K s m2) or similar units |
HETP |
height of equilibrium plate, cm/plate, Eq. (17-78b) |
kf |
film mass transfer coefficient, m/s or cm/s |
km,c |
lumped parameter mass transfer coefficient with concentration driving force, m/s or cm/s, Eqs. (17-56a) and (17-57a) |
km,q |
lumped parameter mass transfer coefficient with amount adsorbed driving force, m/s or cm/s, Eqs. (17-56b) and (17-57b) |
KAB |
mass action equilibrium constant for monovalent-monovalent ion exchange, dimensionless, Eq. (17-40a) |
KA,c |
adsorption equilibrium constant in terms of concentration, units are (concentration)−1 |
K′i,c |
linearized adsorption equilibrium constant in terms of concentration, units are units of q/c, Eq. (17-6b) |
KAo |
pre-exponential factor in Arrhenius Eq, (17-7a), same units as KA |
KA,p |
adsorption equilibrium constant in terms of partial pressure, units are (pressure)−1 |
K′A,p |
linearized adsorption equilibrium constant in terms of partial pressure, units are units of qA/pA, Eq. (17-5b) |
Kd |
size exclusion parameter, dimensionless |
KDB |
mass action equilibrium constant for divalent-monovalent ion exchange, same units as cT/cRT, Eq. (17-41) |
KDE |
Donnan exclusion factor, dimensionless, Following Eq. (17-44) |
L |
length of packing in column, m or cm |
LMTZ |
length of mass transfer zone, Figure 17-23, m or cm |
M |
molecular weight of solute, g/g mole or kg/kg mole |
Mi |
multipliers in Eqs. (17-29), dimensionless |
N |
equivalent number of plates in chromatography, Eq. (17-78) |
Peclet number, dimensionless, Eq. (17-62) |
|
pA |
partial pressure of species A, mm Hg, kPa, or other pressure units |
ph |
high pressure, mm Hg, kPa, or other pressure units |
pL |
low pressure, mm Hg, kPa, or other pressure units |
PeL |
Peclet number based on length, dimensionless, Eq. (17-78a) |
qA |
amount of species A adsorbed, kg/kg adsorbent, gmoles/kg adsorbent, or kg/liter |
qA,max |
maximum amount of species A that can adsorb, kg/kg adsorbent, gmoles/kg adsorbent, or kg/liter |
amount adsorbed in equilibrium with feed concentration, same units as qA average amount of species i adsorbed, kg/kg adsorbent, gmoles/kg adsorbent, or kg/liter |
|
amount adsorbed that would be in equilibrium with fluid of concentration ci, same units as qA |
|
Q |
volumetric flow rate, m3/s, liter/min, etc. |
rp |
pore radius, m or cm |
R |
resolution, dimensionless, Eq. (17-82) |
R |
gas constant (e.g., ) |
Re |
Reynolds number, dimensionless, Eq. (17-60) |
Sc |
Schmidt number, dimensionless, Eq. (17-60) |
Sh |
Sherwood number, dimensionless, Eq. (17-60) |
t |
time, s, minutes or hours |
tbr |
breakthrough time, s, minutes or hours |
tcenter |
time center of pattern exits column, s, min or hours, Eq. (17-85b) |
telution |
elution time, s, minutes or hours |
tF, tfeed |
feed time, s, minutes or hours |
tMTZ |
time of mass transfer zone, Figure 17-23, s, minutes or hours |
tR |
retention time, s, minutes or hours |
tsw |
switching time in SMB, s, minutes or hours |
T |
temperature,°C or K |
Tamb |
ambient temperature,°C or K |
Ts |
solid temperature,°C or K |
uion,i |
velocity of ion i, m/s or cm/s |
us |
average solute velocity, m/s or cm/s |
average of solute velocities for A and B, cm/s, Eq. (17-83) |
|
us,ion,i |
diffuse wave velocity of ion i, m/s or cm/s |
ush |
shock wave velocity, m/s or cm/s |
ush,ion,i |
shock wave velocity of ion i, m/s or cm/s |
uth |
thermal wave velocity, m/s or cm/s |
utotal_ion |
velocity of total ion wave, m/s or cm/s |
vA,product |
interstitial velocity of A Product if it was in the column, m/s or cm/s = (A Product)/(εe Ac) |
vB,product |
interstitial velocity of B Product if it was in the column, m/s or cm/s = (B Product)/(εe Ac) |
vD |
interstitial velocity of desorbent if it was in the column, m/s or cm/s = D/(εe Ac) |
vFeed |
interstitial velocity of feed if it was in the column, m/s or cm/s = F/(εe Ac) |
interstitial velocity, m/s or cm/s, Eq. (17-2b) |
|
vsuper |
superficial velocity, m/s or cm/s, Eq. (17-2a) |
Vavailable |
volume available to molecule, m3, Eq. (17-1c) |
Vcolumn |
column volume, m3 |
Vfeed |
volume feed gas, m3 |
Vfluid |
volume available to fluid, m3, Eq. (17-1a) |
Vpurge |
volume purge gas, m3 |
wA, wB |
width of chromatographic peak, s, min or hours |
W |
weight of the column per length, kg/m |
x |
deviation from the location of the peak maximum, dimensionless Eq. (17-79) |
xl |
deviation from peak maximum in length units, Eq. (17-80b) |
xt |
deviation from peak maximum in time units, Eq. (17-80a) |
x |
weight or mole fraction solute in liquid, kg solute/kg liquid or kg mole solute/kg mole liquid, dimensionless |
xi |
= ci/cT equivalent fraction of ion in solution, dimensionless |
Xbreakthrough (z,t) |
general solution for column breakthrough for linear isotherms, same units as c, Eq. (17-72) |
y |
weight or mole fraction solute in gas, kg solute/kg gas or kg mole solute/kg mole gas, dimensionless |
yi |
= cRi/cRT equivalent fraction of ion on resin, dimensionless |
Z |
axial distance in column, m or cm. (Measured from closed end for PSA pressure change calculations) |
βstrong |
ratio velocities of strong and weak solutes, Eq. (17-27), dimensionless |
Δc |
change in solute concentration, same units as c |
ΔHads |
heat of adsorption, J/kg, cal/gmole, etc. |
ΔpA |
change in partial pressure, kPa, atm, etc. |
Δq |
change in amount adsorbed, kmole/kg adsorbent, kg/kg adsorbent, kmol/m3 or kg/ m3 |
Δt |
change in time, s, min or hour |
ΔTf |
change in fluid temperature,°C or K |
Δz |
increment of column length, m |
γ |
volumetric purge to feed ratio in PSA, dimensionless, Eq. (17-26) |
εe |
external porosity, dimensionless |
εp |
internal or pore porosity, dimensionless |
εT |
total porosity, dimensionless, Eq. (17-1b) |
ρb |
bulk density of adsorbent, kg/m3, Eq. (17-3b) |
ρf |
fluid density, kg/m3 |
molar density of fluid, kg mole/m3 |
|
ρp |
particle density, kg/m3, Eq. (17-3a) |
ρs |
structural density of solid, kg/m3 |
σ |
standard deviation of Gaussian chromatographic peak, Eq. (17-79) |
σl |
standard deviation in length units, m or cm, Eq. (17-80b) |
σt |
standard deviation in time units, min or s, Eq. (17-80a) |
τ |
tortuosity, dimensionless, Eq. (17-4) |
ζ |
Greek letter zeta used as dummy variable in Eq. (17-70) |