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. 2022 Sep 10;23(18):10511. doi: 10.3390/ijms231810511
cα molar concentration of component α
cb vector of formal concentrations defined by Equation (S27)
da surface element
dv volume element
eα,eα base vectors of the n-dimensional mixture space, α=1,, n
fσ base vectors of the h-dimensional subspace W, σ=1,, h
gp base vectors of the (nh)-dimensional reaction space, p=1,, nh
h rank of matrix of atomic composition
jαw mass diffusion flux of component α in the barycentric reference
jαw molar diffusion flux of component α in the barycentric reference
J vector of nh independent reaction rates
Jp rate of independent reaction p
Jα moles of component α produced (or consumed) by chemical reactions in unit volume per unit of time (component molar reaction rate)
M vector of molar masses
Mα molar mass of component α
n number of components
n normal vector on surface
p number of independent reactions
Ppα stoichiometric coefficient of component α in (independent) reaction p
rα mass of component α produced (or consumed) by chemical reactions in unit volume per unit of time (component mass reaction rate)
Sσα number of (pseudo)atoms σ in component α
t time
uαref diffusion velocity of component α in reference ‘ref’
uαw diffusion velocity of component α in barycentric reference
vα velocity of component α
vw barycentric velocity
wα mass fraction of component α
xd vector of generalized extents of diffusion
xr vector of generalized extents of reactions
ξ vector of extents of reactions
ξp extent of the independent reaction p
ρ density of (reacting) mixture
ρα mass density (mass or weight concentration) of component α
σ vector defined by Equation (S19)
ω vector defined by Equation (S16)
ω+ vector defined by Equation (S20)