Seawater Ion Generic Property Package
This package implements property relationships for artificial seawater as provided in Islam et al. (2021).
- This artificial seawater property package:
supports only ‘H2O’, ‘Na_+’, ‘Ca_2+’, ‘Mg_2+’, ‘Cl_-’, ‘SO4_2-’
supports only liquid phase
is formulated on a molar basis
does not support dynamics
This package uses the eNRTL equation of state and has been used to predict mineral scaling in full treatment where reverse osmosis is the primary desalination technology. Additionally, this property package is formulated as an extension of IDAES’s modular property framework (GenericParameterBlock). In other words, this property package is a configuration file that gets passed into IDAES’s generic/modular property framework.
Sets
Description |
Symbol |
Indices |
|---|---|---|
Components |
\(j\) |
[‘H2O’, ‘Na_+’, ‘Ca_2+’, ‘Mg_2+’, ‘Cl_-’, ‘SO4_2-‘] |
Phases |
\(p\) |
[‘Liq’] |
State variables
Description |
Symbol |
Variable |
Index |
Units |
|---|---|---|---|---|
Component molar flowrate |
\(N_j\) |
flow_mol_phase_comp |
[p, j] |
\(\text{mole/s}\) |
Temperature |
\(T\) |
temperature |
None |
\(\text{K}\) |
Pressure |
\(P\) |
pressure |
None |
\(\text{Pa}\) |
Properties
Description |
Symbol |
Variable |
Index |
Units |
|---|---|---|---|---|
Component mole fraction |
\(y_j\) |
mole_frac_phase_comp |
[p, j] |
\(\text{dimensionless}\) |
Component mole flowrate |
\(N_j\) |
flow_mol_phase_comp |
[p, j] |
\(\text{mole/s}\) |
Interaction parameter |
\(τ\) |
Liq_tau |
[j_1, j_2, j_3] |
\(\text{dimensionless}\) |
Component molar volume |
\(V_j\) |
vol_mol_liq_comp |
[j] |
\(\text{m}^3\text{/mole}\) |
Relationships
Description |
Equation |
|---|---|
Component mole flowrate |
\(N_j = \frac{M_j}{MW_j}\) |
Component mole fraction |
\(y_j = \frac{N_j}{\sum_{j} N_j}\) |
Scaling
This artificial seawater property package includes support for scaling, such as default or user-supplied scaling factors for all variables.
The default scaling factors are as follows:
1e1 for ‘Na_+’ mole flowrate
1e3 for ‘Ca_2+’ mole flowrate
1e2 for ‘Mg_2+’ mole flowrate
1e2 for ‘SO4_2-’ mole flowrate
1e1 for ‘Cl_-’ mole flowrate
1e-1 for ‘H2O’ mole flowrate
1e2 for ‘Na_+’ mole fraction
1e4 for ‘Ca_2+’ mole fraction
1e3 for ‘Mg_2+’ mole fraction
1e3 for ‘SO4_2-’ mole fraction
1e2 for ‘Cl_-’ mole fraction
1 for ‘H2O’ mole fraction
1e1 for ‘NaCl’ apparent mole flowrate
1e2 for ‘Na2SO4’ apparent mole flowrate
1e2 for ‘CaCl2’ apparent mole flowrate
1e3 for ‘CaSO4’ apparent mole flowrate
1e2 for ‘MgCl2’ apparent mole flowrate
1e3 for ‘MgSO4’ apparent mole flowrate
1e-1 for ‘H2O’ apparent mole flowrate
1e3 for ‘NaCl’ apparent mole fraction
1e4 for ‘Na2SO4’ apparent mole fraction
1e4 for ‘CaCl2’ apparent mole fraction
1e5 for ‘CaSO4’ apparent mole fraction
1e4 for ‘MgCl2’ apparent mole fraction
1e5 for ‘MgSO4’ apparent mole fraction
1 for ‘H2O’ apparent mole fraction
Scaling factors for other variables can be calculated based on their relationships with the user-supplied or default scaling factors.
Reference
M.R.Islam, I.Hsieh, B.Lin, A.K.Thakur, C.Chen, M.Malmali, Molecular thermodynamics for scaling prediction: Case of membrane distillation, Separation and Purification Technology, 2021,Vol. 276. https://www.sciencedirect.com/science/article/abs/pii/S1383586621009412