F Nomenclature

A Chemical species
Ac Cross-sectional area (m2)
Ap Total external surface area of particle (m2)
ap External surface area of catalyst per unit bed volume (m2/m3)
a Area of heat exchange per unit volume of reactor (rrr1)
ac External surface area per volume of catalyst pellets (m2/m3)
B Chemical species
BA Flux of A resulting from bulk flow (mol / m2 · s)
Bo Bodenstein number
C Chemical species
Ci Concentration of species i(mol/dm3)
Çpi Heat capacity of species i at temperature T (cal/gmol · K)
Cpi Mean heat capacity of species i between temperature T0 and temperature T (cal/mol · K)
Ĉpi Mean heat capacity of species i between temperature TR and temperature T (cal/mol · K)
c Total concentration (mol/dm3) (PDF Chapter 14)
D Chemical species
Da Damköhler number (dimensionless)
DAB Binary diffusion coefficient of A in B (dm2/s)
Da Dispersion coefficient (cm2/s)
De Effective diffusivity (dm2/s)
DK Knudsen diffusivity (dm2/s)
D* Taylor dispersion coefficient
E Activation energy (cal/gmol)
(E) Concentration of free (unbound) enzyme (mol/dm3)
Fi Molar flow rate of species i (mol/s)
Fi0 Entering molar flow rate of species i (mol/s)
f volumetric flow rate ratio, υ/ υ0
G Superficial mass velocity (g / dm2 · s)
Gi Rate of generation of species i (mol/s)
Giο(T) Gibbs free energy of species i at temperature T (cal/gmol· K)
Hi (T) Enthalpy of species i at temperature T (cal/mol i)
Hi0(T ) Enthalpy of species i at temperature T0 (cal/mol i)
Hiο Enthalpy of formation of species i at temperature TR (cal/gmol i)
h Heat transfer coefficient (cal /m2 · s · K)
JA Molecular diffusive flux of species A (mol/m2 · s)
KA Adsorption equilibrium constant
Kc Concentration equilibrium constant
Ke Equilibrium constant (dimensionless)
Kp Partial pressure equilibrium constant
k Specific reaction rate (constant)
kc Mass transfer coefficient (m/s)
Mi Molecular weight of species i (g/mol)
mi Mass of species i(g)
Ni Number of moles of species i (mol)
n Overall reaction order
Nu Nusselt number (dimensionless)
Pe Peclet number (PDF Chapter 17)
Pi Partial pressure of species i (atm)
Pr Prandtl number (dimensionless)
Q Heat flow from the surroundings to the system (cal/s)
R Ideal gas constant
Re Reynolds number
r Radial distance (m)
rA Rate of generation of species A per unit volume (gmol A/s · dm3)
–rA Rate of disappearance of species A per unit volume (mol A/s · dm3)
-rA Rate of disappearance of species A per mass of catalyst (mol A/g · s)
-rA" Rate of disappearance of A per unit area of catalytic surface (mol A/m2 · s)
S An active site (Chapter 10)
(S) Substrate concentration (gmol/dm3) (Chapter 7)
Sa Surface area per unit mass of catalyst (m2/g)
SD/U Instantaneous selectivity (Chapter 8)
S˜D/U Overall selectivity of D to U
Sc Schmidt number (dimensionless) (Chapter 10)
Sh Sherwood number (dimensionless) (Chapter 10)
SV Space velocity (s-1)
T Temperature (K)
t Time (s)
U Overall heat transfer coefficient (cal /m2 · s · K)
V Volume of reactor (dm3)
V0 Initial reactor volume (dm3)
υ Volumetric flow rate (dm3/s)
υ0 Entering volumetric flow rate (dm3/s)
W Weight of catalyst (kg)
WA Molar flux of species A (mol /m2 · s)
X Conversion of key reactant, A
Yi Instantaneous yield of species i
Y˜i Overall yield of species i
y Pressure ratio P / P0
yi Mole fraction of species i
yi0 0 Initial mole fraction of species i
Z Compressibility factor
z Linear distance (cm)
Subscripts
0 Entering or initial condition
b Bed (bulk)
c Catalyst
e Equilibrium
p Pellet
Greek Symbols
α Reaction order (Chapter 3)
α Pressure drop parameter (Chapter 5)
αi Parameter in heat capacity (Chapter 12)
ßi Parameter in heat capacity
β Reaction order
γi Parameter in heat capacity
δ Change in the total number of moles per mole of A reacted
ε Fraction change in volume per mole of A reacted resulting from the change in total number of moles
η Internal effectiveness factor
Θi Ratio of the number of moles of species i initially (entering) to the number of moles of A initially (entering)
λ Dimensionless distance (z/L) (PDF Chapter 15)
λ Life expectancy (s) (PDF Chapter 17)
μ Viscosity (g/cm · s)
ρ Density (g/cm3)
ρc Density of catalyst pellet (g / cm3 of pellet)
ρb Bulk density of catalyst (g / cm3 of reactor bed)
τ Space time (s)
φ Void fraction (Porosity)
φ„ Thiele modulus
ψ Dimensionless concentration (CA/ CAs)
Ω External (overall) effectiveness factor
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