Single Inlet - Single Outlet Helper Methods

The build_siso method is intended to be used to rapidly construct a standard set of material balance equations for zero-order type models with a single inlet and single outlet.

Usage

from idaes.core import declare_process_block_class
from watertap.core import build_siso, ZeroOrderBaseData

@declare_process_block_class("UVZO")
class UVZOData(ZeroOrderBaseData):

    CONFIG = ZeroOrderBaseData.CONFIG()

    def build(self):
        super().build()

        self._tech_type = "uv"

        build_siso(self)

Model Structure

The build_siso method constructs a simple representation of unit operation with one inlet (named inlet) and one outlet (named treated). A StateBlock is constructed for each inlet and outlet with an associated Port.

Variables

The build_siso method creates the following variables in addition to those created by the StateBlocks.

Variable

Name

Indices

Notes

\(r_{t}\)

recovery_frac_mass_H2O

time

Fraction of mass flow of water in inlet that goes to treated stream.

\(f_{t,j}\)

removal_frac_mass_comp

time, component

Fraction of mass flow of each component that is removed from the inlet stream.

recovery_frac_mass_H2O is intended to be fixed to 1 (e.g., UV reactor which yields product stream without water losses), but the user can optionally set this to some fraction.

Constraints

The build_siso method writes the following constraints which relate the inlet state to the treated stream. First, a water recovery equation is written for water to relate the flowrate at the treated outlet to that at the inlet:

water_recovery_equation(t):

\[r_t \times M_{inlet,t,H2O} = M_{treated,t,H2O}\]

where \(M_{t,H2O}\) is mass flowrate of water at time \(t\).

Note, a mass balance for water is ignored since build_siso is intended to only account for constituent removal/conversion at the treated outlet. Thus, a mass balance constraint is only written for each solute.

solute_treated_equation(t, j):

\[(1 - f_{t, j}) \times M_{inlet,t,j} = M_{treated,t,j}\]

Module Documentation