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# Lumped Rate Model Without Pores¶

## Group /input/model/unit_XXX - UNIT_TYPE = LUMPED_RATE_MODEL_WITHOUT_PORES¶

UNIT_TYPE

Specifies the type of unit operation model

 Type: string Range: $$\texttt{LUMPED_RATE_MODEL_WITHOUT_PORES}$$ Length: 1

NCOMP

Number of chemical components in the chromatographic medium

 Type: int Range: $$\geq 1$$ Length: 1

ADSORPTION_MODEL

Specifies the type of binding model

 Type: string Range: See Section Binding models Length: 1

REACTION_MODEL

Specifies the type of reaction model of the combined bulk and particle volume. The model is configured in the subgroup $$\texttt{reaction}$$.

 Type: string Range: See Section Reaction models Length: 1

INIT_C

Initial concentrations for each component in the bulk mobile phase

Unit: $$\mathrm{mol}\,\mathrm{m}_{\mathrm{IV}}^{-3}$$

 Type: double Range: $$\geq 0$$ Length: $$\texttt{NCOMP}$$

INIT_Q

Initial concentrations for each bound state of each component in the bead solid phase in component-major ordering

Unit: $$\mathrm{mol}\,\mathrm{m}_{\mathrm{SP}}^{-3}$$

 Type: double Range: $$\geq 0$$ Length: $$\texttt{NTOTALBND}$$

INIT_STATE

Full state vector for initialization (optional, $$\texttt{INIT_C}$$ and $$\texttt{INIT_Q}$$ will be ignored; if length is $$2\texttt{NDOF}$$, then the second half is used for time derivatives)

Unit: $$various$$

 Type: double Range: $$\mathbb{R}$$ Length: $$\texttt{NDOF} / 2\texttt{NDOF}$$

COL_DISPERSION

Axial dispersion coefficient

Unit: $$\mathrm{m}_{\mathrm{IV}}^{2}\,\mathrm{s}^{-1}$$

 Type: double Range: $$\geq 0$$ Length: see $$\texttt{COL_DISPERSION_MULTIPLEX}$$

COL_DISPERSION_MULTIPLEX

Multiplexing mode of $$\texttt{COL_DISPERSION}$$. Determines whether $$\texttt{COL_DISPERSION}$$ is treated as component- and/or section-independent. This field is optional. When left out, multiplexing behavior is inferred from the length of $$\texttt{COL_DISPERSION}$$. Valid modes are:

1. Component-independent, section-independent; length of $$\texttt{COL_DISPERSION}$$ is $$1$$

2. Component-dependent, section-independent; length of $$\texttt{COL_DISPERSION}$$ is $$\texttt{NCOMP}$$

3. Component-independent, section-dependent; length of $$\texttt{COL_DISPERSION}$$ is $$\texttt{NSEC}$$

4. Component-dependent, section-dependent; length of $$\texttt{COL_DISPERSION}$$ is $$\texttt{NCOMP} \cdot \texttt{NSEC}$$; ordering is section-major

 Type: int Range: $$\{0, \dots, 3 \}$$ Length: 1

COL_LENGTH

Column length

Unit: $$\mathrm{m}$$

 Type: double Range: $$> 0$$ Length: 1

TOTAL_POROSITY

Total porosity

 Type: double Range: $$[0,1]$$ Length: 1

VELOCITY

Interstitial velocity of the mobile phase (optional if $$\texttt{CROSS_SECTION_AREA}$$ is present, see Section Specification of flow rate / velocity and direction)

Unit: $$\mathrm{m}\,\mathrm{s}^{-1}$$

 Type: double Range: $$\mathbb{R}$$ Length: $$1 / \texttt{NSEC}$$

CROSS_SECTION_AREA

Cross section area of the column (optional if $$\texttt{VELOCITY}$$ is present, see Section Specification of flow rate / velocity and direction)

Unit: $$\mathrm{m}^{2}$$

 Type: double Range: $$>0$$ Length: 1

## Group /input/model/unit_XXX/discretization - UNIT_TYPE = LUMPED_RATE_MODEL_WITHOUT_PORES¶

NCOL

Number of axial column discretization cells

 Type: int Range: $$\geq 1$$ Length: 1

NBOUND

Number of bound states for each component

 Type: int Range: $$\geq 0$$ Length: $$\texttt{NCOMP}$$

USE_ANALYTIC_JACOBIAN

Determines whether analytically computed Jacobian matrix (faster) is used (value is 1) instead of Jacobians generated by algorithmic differentiation (slower, value is 0)

 Type: int Range: $$\{0, 1\}$$ Length: 1

RECONSTRUCTION

Type of reconstruction method for fluxes

 Type: string Range: $$\texttt{WENO}$$ Length: 1