Thesis for degree: Licentiate of Engineering

Q source term (heat), W/m3
q heat flux, W/m 2
r reaction rate, mol/(m 3·s), mol/(m 2·s)
r mean pore radius, m
R gas constant, 8.314 J/(mol·K)
Re Reynolds number, –
S i source term for the reaction rate, kg/(m 3·s)
T temperature, K
T viscous stress tensor, N/m 2
t time step, –
u, v velocity, m/s
w a weight factor, –
w i mass fraction of species i, kg/kg
x, y coordinate system, m
x mole fraction, –
z pixel point, –
Greek symbols
β dimensionless maximum temperature rise, –
γ dimensionless activation energy, –
δ reference step (time or length)
ε porosity, –
η overpotential, V
κ permeability, m 2
κ dv deviation from thermodynamic equilibrium, Pa·s
μ dynamic viscosity, Pa·s
ρ density, kg/m 3
ζ ionic/electronic conductivity, Ω -1 m -1
η tortuosity, –
η relaxation time
υ kinematic viscosity, m 2 /s
χ Damköhler number for the heat transfer, –
ω Damköhler number for the mass transfer, –
Ω D diffusion collision integral, –
Φ phase function, –
Subscripts
0 reference state or initial state
a lattice direction in LBM
act activation polarization
D dimensionless system
e electrode, ea,c
eff
el
effective
electrolyte
vi