Table 1
Nomenclature.
Notation | Meaning |
---|---|
p | Pressure |
μ | Fluid viscosity |
K | Permeability value |
u | Velocity vector |
Re | Reynolds number |
Da | Darcy number |
ϕ | Porosity |
ρf | Mass density of the fluid |
F | Forchheimer coefficient |
t | Time |
g | Gravity vector |
Cf | Cup-mixing concentration of the acid |
De | Effective dispersion tensor |
dm | Molecular diffusion coefficient |
dl | Longitudinal dispersion coefficient |
dt | Transverse dispersion coefficient |
αOS | Constant depending on pore connectivity |
λX | Constant depending on the structure of the medium |
λT | Constant depending on the structure of the medium |
rp | Pore radius |
E | Orthogonal projection along the velocity |
I | Identity matrix |
kc | Local mass-transfer coefficient |
av | Interfacial surface area per unit volume |
Cs | Concentration of the acid at the fluid-solid interface |
T | Temperature |
R(Cs, T) | Reaction rate |
α | Dissolving power of the acid |
ρs | Mass density of the solid phase |
ks | Surface reaction rate |
Sh | Sherwood number |
Sh∞ | Asymptotic Sherwood number |
Sc | Schmidt number |
τ | Time step |
Hr(T) | Reaction heat |
λf | Heat conduction coefficient of the fluid phase |
λs | Heat conduction coefficient of the solid phase |
λ | Average heat conduction coefficient |
θf | Heat capacity of the fluid phase |
θs | Heat capacity of the solid phase |
ϑf | Amount of heat per unit volume of the fluid phase |
ϑs | Amount of heat per unit volume of the solid phase |
ϑ | Total amount of heat per unit volume |
Eg | Activation energy |
Rg | Molar gas constant |