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 |