Abstract
The continuous stirred tank reactor is frequently adopted as a model for electrochemical reactors. This article brings together the various important aspects of the model: dynamics, thermal characteristics, residence time distributions and steady state characteristics and gives an overview of the design procedures.
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Abbreviations
- A :
-
magnitude of stepchange
- C j :
-
concentration of speciesj (mol m−3)
- C f :
-
friction factor
- CE:
-
current efficiency
- C s j :
-
concentration of speciesj at the surface (mol m−3)
- C ji :
-
inlet concentration of speciesj (mol m−3)
- C p :
-
heat capacity (J kg−1 K−1)
- d p :
-
mean particle diameter (m)
- D c :
-
dispersion coefficient
- D a :
-
Damköhler number
- e :
-
voidage
- E :
-
electrode potential (V)
- E T :
-
cell voltage (V)
- E 0d :
-
decomposition potential (V)
- f :
-
parameterF/RT (V−1)
- F :
-
Faraday number
- G j :
-
transfer function
- H :
-
enthalpy (kJ mol−1)
- ΔH r :
-
heat of reaction (kJ mol−1)
- ΔH v :
-
heat of vaporization (kJ mol−1)
- i :
-
current density (A m−2)
- i T :
-
total current density (A m−2)
- i * :
-
dimensionless current density =i 1/n 1 Fk LA C A0
- I :
-
current (A)
- I j :
-
partial current for reactionj (A m−2)
- k :
-
homogeneous reaction rate constant (s−1)
- k j :
-
electrochemical rate constant in forward direction for stepj (m s−1 (mol m−3)1−w)
- k −j :
-
electrochemical rate constant in reverse direction for stepj (m s−1 (mol m−3)1−w)
- K bl :
-
reverse electrochemical rate parameter (m s−1)
- K Lj :
-
mass transport coefficient of speciesj (m s−1)
- K :
-
equilibrium constant
- K p :
-
gain
- L :
-
electrode length (m)
- m :
-
total mass of electrolyte (kg)
- m j :
-
mass of componentsj (kg)
- n :
-
tank number
- N :
-
number of tanks
- n j :
-
mol of speciesj
- P :
-
pressure (bar)
- Q :
-
heat flow (kJ s−1)
- Q ex :
-
heat from external source (kJ s−1)
- Q v :
-
enthalpy of vaporization (kJ.s−1)
- Q L :
-
heat losses (kJ s−1)
- r j :
-
rate of electrode processes (mol m−3 s−1)
- r-i :
-
rate of electrode processes in reverse direction (mol m−3 s−1)
- B :
-
gas constant (kJ mol−1 K−1)
- R e :
-
internal electrical resistance (Ω)
- s :
-
Laplace transform operator
- S :
-
surface area (m2)
- S :
-
selectivity
- t :
-
time (s)
- T :
-
temperature (K)
- T j :
-
inlet temperature of electrolyte (K)
- u :
-
velocity (m s−1)
- U :
-
overall heat transfer coefficient (kJ m−2 K−1 s−1)
- v :
-
volumetric flowrate of electrolyte
- V :
-
volume (m3)
- W :
-
mean mass flowrate (kJ s−1)
- w 1,w 2,w j :
-
reaction order exponents
- x :
-
dimension of reactor
- X 1,X 2 :
-
perturbation variables
- X 1 :
-
fractional conversion of speciesj
- Y 1,Y 2 :
-
perturbation variables
- z :
-
dimensionless length
- Bo :
-
Bodenstein number
- Pe :
-
Peclet number
- Re :
-
Reynolds number
- α′:
-
transfer coefficient (V−1)
- β:
-
coefficient defining potential dependence of electrochemical rate constant = α′nF (V−1)
- ϱ:
-
density (kg m−3)
- τ:
-
residence time (s)
- τL :
-
dimensionless residence time
- \(\bar \eta\) :
-
effectiveness factor
- η:
-
overpotential (V)
- σ:
-
specific surface area (m−1)
- ν:
-
parameter στ (s m−1)
- a:
-
anode
- c:
-
cathode
- i:
-
inlet
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Scott, K. The continuous stirred tank electrochemical reactor. An overview of dynamic and steady state analysis for design and modelling. J Appl Electrochem 21, 945–960 (1991). https://doi.org/10.1007/BF01077579
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DOI: https://doi.org/10.1007/BF01077579