Reverse Osmosis Costing Method

Costing Method Parameters

The following parameters are constructed for the unit on the FlowsheetCostingBlock (e.g., m.fs.costing.reverse_osmosis) when applying the cost_reverse_osmosis costing method in the watertap_costing_package:

Description

Symbol

Parameter Name

Default Value

Units

Standard RO (cost method = cost_reverse_osmosis)

Membrane replacement factor (fraction of membrane replaced/year)

\(f_{mem,\, replace}\)

factor_membrane_replacement

0.2

\(\text{yr}^{-1}\)

Membrane unit cost

\(C_{mem}\)

membrane_cost

30

\(\text{USD}_{2018}\text{/m}^2\)

High-pressure RO (cost method = cost_high_pressure_reverse_osmosis)

Membrane replacement factor (fraction of membrane replaced/year)

\(f_{mem,\, replace}\)

factor_membrane_replacement

0.2

\(\text{yr}^{-1}\)

Membrane unit cost

\(C_{mem}\)

high_pressure_membrane_cost

75

\(\text{USD}_{2018}\text{/m}^2\)

Costing Method Variables

The following variables are constructed on the unit block (e.g., m.fs.unit.costing) when applying the cost_reverse_osmosis costing method in the watertap_costing_package:

Description

Symbol

Variable Name

Index

Units

Membrane area

\(A_{mem}\)

area

None

\(\text{m}^2\)

Capital Cost Calculations

Capital cost is dependent upon the RO membrane area, \(A_{mem}\), as shown in the equation below.

\[C_{cap,tot} = A_{mem} * C_{mem}\]

Operating Cost Calculations

The membrane replacement cost \(C_{op,\, mem}\) is calculated on an annual basis from the membrane cost and replacement frequency factor:

\[C_{op,\, mem} = f_{mem,\, replace}C_{mem}A_{mem}\]

Note

Energy consumption for RO units in WaterTAP is calculated via the separate pump costing method for the Pump unit model.

Code Documentation

References

T. V. Bartholomew, N. S. Siefert and M. S. Mauter (2018).
Cost Optimization of Osmotically Assisted Reverse Osmosis.
Environ Sci Technol 2018 Vol. 52 Issue 20 Pages 11813-11821.
DOI: 10.1021/acs.est.8b02771
Y.-Y. Lu, Y.-D. Hu, X.-L. Zhang, L.-Y. Wu and Q.-Z. Liu (2007).
Optimum design of reverse osmosis system under different feed concentration and product specification.
Journal of Membrane Science 2007 Vol. 287 Issue 2 Pages 219-229.
10.1016/j.memsci.2006.10.037