Pump Costing Method

Costing Method Parameters

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

Description

Symbol

Parameter Name

Default Value

Units

High-pressure pump (cost method = cost_high_pressure_pump)

Pump unit cost

\(C_{pump}\)

cost

1.908

\(\text{USD}_{2018}\text{/W}\)

Low-pressure pump (cost method = cost_low_pressure_pump)

Pump unit cost

\(C_{pump}\)

cost

889

\(\text{USD}_{2018}\text{/L/s}\)

Costing Method Variables

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

Description

Symbol

Variable Name

Index

Units

High-pressure pump

Mechanical work

\(W_{mech}\)

work_mechanical

[t]

\(\text{W}\)

Low-pressure pump

Inlet volumetric flow rate

\(Q_{in}\)

flow_in

[t]

\(\text{m}^3\text{/s}\)

Capital Cost Calculations

For the high pressure pump, capital cost is dependent upon the mechanical work, \(W_{mech}\), whereas the capital cost of the low pressure pump is based on the volumetric flow rate \(Q_{in}\).

\[C_{cap,high pressure} = C_{pump} * W_{mech}\]
\[C_{cap,low pressure} = C_{pump} * Q_{in}\]

Operating Cost Calculations

Electricity \(C_{elec}\) is a variable operating cost based on the energy intensity \(E\) of the unit process (mechanical work for the pump), electricity price \(P\), electricity flow \(Q\), and the plant utilization factor \(f_{util}\). The annual electricity costs are calculated as:

\[C_{op, tot} = C_{elec} = E Q f_{util} P\]

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
A. Malek, M. N. A. Hawlader and J. C. Ho (1996).
Design and economics of RO seawater desalination.
Desalination 1996 Vol. 105 Issue 3 Pages 245-261.
DOI: 10.1016/0011-9164(96)00081-1