Nomenclature

a

shape factor

a

area-to-volume ratio

A

frequency factor

A

area, particularly area accessible to mass and heat transfer

A,B,...

general coefficients

c

concentration

cp

mass-based heat capacity

cmP

mole-based heat capacity

d

diameter

D

diffusion or dispersion coefficient

De

effective diffusion coefficient

E

density function

Ea

activation energy

f

function

F

frequency function

ΔH

reaction enthalpy

g

function in regression analysis

ΔG

Gibbs free energy

G

mass flow per cross-section

h

heat transfer coefficient

j

factor for heat and mass transfer

k

rate constant

kF,kL,kG

mass transfer coefficients

K

equilibrium constant

K

mass transfer coefficient in Kunii-Levenspiel model

L

reactor length

m

mass

M

molar mass

M

heat flux

n

amount of substance

n′

flow of amount of substance

N

diffusion flux

p

parameter

P

pressure

Q

objective function in regression

r

generation rate

r

radial coordinate

R

reaction rate

R

gas constant 8.3143 J/mol⋅K

Rc

particle radius, particle characteristic dimension

s

shape factor for a particle; s=a−1

S

surface

t

time

T

temperature

V

volume

Vm

molar volume

V′

volumetric flow rate

w

fluid velocity

w

weight factor

x

mole fraction

x

independent variable

y

dependent variable

z

length coordinate

α,β

general coefficients and exponents

γ

activity coefficient

δ

thickness

ε

porosity

η

effectiveness factor

θ

dimensionless time

λ

heat conductivity

μ

dynamic viscosity

νij

stoichiometric coefficient for component i in reaction j

ν

kinematic viscosity

ξ

dimensionless radial coordinate

ξ

extent of reaction

ρ

density

τ

space time, residence time

τ

tortuosity, labyrinth factor

Φ

association factor

ω

weight factor in direct integral method

Dimensionless numbers

Bo

Bodenstein number

Da

Damköhler number

Ha

Hatta number

Nu

Nusselt number

Pe

Péclet number

Pr

Prandtl number

Re

Reynolds number

Sc

Schmidt number

Sh

Sherwood number

ϕ,Φ

Thiele...