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.. _multi_component_sips_config: | ||
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Multi Component Sips | ||
~~~~~~~~~~~~~~~~~~~~ | ||
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**Group /input/model/unit_XXX/adsorption – ADSORPTION_MODEL = MULTI_COMPONENT_SIPS** | ||
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``IS_KINETIC`` | ||
Selects kinetic or quasi-stationary adsorption mode: 1 = kinetic, 0 = | ||
quasi-stationary. If a single value is given, the mode is set for all | ||
bound states. Otherwise, the adsorption mode is set for each bound | ||
state separately. | ||
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=================== ========================= ========================================= | ||
**Type:** int **Range:** {0,1} **Length:** 1/NTOTALBND | ||
=================== ========================= ========================================= | ||
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``SIPS_KA`` | ||
Adsorption rate constants | ||
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**Unit:** :math:`s^{-1}` | ||
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=================== ========================= ========================================= | ||
**Type:** double **Range:** :math:`\ge 0` **Length:** NCOMP | ||
=================== ========================= ========================================= | ||
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``SIPS_KD`` | ||
Desorption rate constants | ||
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**Unit:** :math:`mol~m_{SP}^{-3}~s^{-1}` | ||
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=================== ========================= ================================== | ||
**Type:** double **Range:** :math:`\ge 0` **Length:** NCOMP | ||
=================== ========================= ================================== | ||
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``SIPS_QMAX`` | ||
Maximum adsorption capacities | ||
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**Unit:** :math:`mol~m_{SP}^{-3}` | ||
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=================== ========================= ================================== | ||
**Type:** double **Range:** :math:`\gt 0` **Length:** NCOMP | ||
=================== ========================= ================================== | ||
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``SIPS_EXP`` | ||
Freundlich-type exponent | ||
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=================== ========================= ================================== | ||
**Type:** double **Range:** :math:`\gt 0` **Length:** NCOMP | ||
=================== ========================= ================================== | ||
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``SIPS_REFC0`` | ||
Reference liquid phase concentration (optional, defaults to | ||
:math:`1.0`) | ||
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**Unit:** :math:`mol~m_{MP}^{-3}` | ||
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=================== ========================= ========================================= | ||
**Type:** double **Range:** :math:`\gt 0` **Length:** 1 | ||
=================== ========================= ========================================= | ||
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``SIPS_REFQ`` | ||
Reference solid phase concentration (optional, defaults to | ||
:math:`1.0`) | ||
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**Unit:** :math:`mol~m_{SP}^{-3}` | ||
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=================== ========================= ========================================= | ||
**Type:** double **Range:** :math:`\gt 0` **Length:** 1 | ||
=================== ========================= ========================================= | ||
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``SIPS_LINEAR_THRESHOLD`` | ||
Threshold for linearization. Originally, the liquid phase concentration | ||
enters the adsorption rate via a power term. Below this threshold, a | ||
quadratic approximation is used instead. This ensures numerical stability. | ||
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**Unit:** :math:`mol~m_{MP}^{-3}` | ||
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=================== ========================= ========================================= | ||
**Type:** double **Range:** :math:`\gt 0` **Length:** 1 | ||
=================== ========================= ========================================= |
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.. _multi_component_sips_model: | ||
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Multi Component Sips | ||
~~~~~~~~~~~~~~~~~~~~~~~~ | ||
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The Sips binding model is a combination of the :ref:`Freundlich<freundlich_ldf_model>` and the :ref:`Langmuir adsorption model<multi_component_langmuir_model>`. | ||
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.. math:: | ||
\begin{aligned} | ||
\frac{\mathrm{d} q_i}{\mathrm{d} t} = k_{a,i}\: \left( \frac{c_{p,i}}{ c_{\text{ref}} }\right)^{n_i}\: q_{\text{max},i} \left( 1 - \sum_{j=0}^{N_{\text{comp}} - 1} \frac{q_j}{q_{\text{max},j}} \right) - k_{d,i} \left( \frac{q_i}{q_{\text{ref}}} \right) && i = 0, \dots, N_{\text{comp}} - 1. | ||
\end{aligned} | ||
For more information on model parameters required to define in CADET file format, see :ref:`multi_component_sips_config`. |
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