diff --git a/doc/modelling/unit_operations/general_rate_model.rst b/doc/modelling/unit_operations/general_rate_model.rst index 071177948..d45bade67 100644 --- a/doc/modelling/unit_operations/general_rate_model.rst +++ b/doc/modelling/unit_operations/general_rate_model.rst @@ -264,6 +264,7 @@ Specification of flow rate / velocity and direction Since volumetric flow rates are specified for each network connection, the unit operation can infer its interstitial velocity via .. math:: + :label: interstitialVelocity \begin{aligned} u = u_{\text{int}} = \frac{F_{\text{in}}}{A \varepsilon_c}, @@ -280,9 +281,9 @@ The final behavior for axial flow models is controlled by the interplay of cross - If cross section area :math:`A` is given and :math:`u` is not, :math:`u` is inferred from the volumetric flow rate. -- If :math:`u` is given and :math:`A` is not, the volumetric flow rate is ignored and the provided interstitial velocity is used. +- If :math:`u` is given and :math:`A` is not, the provided interstitial velocity is used, i.e. the column cross section is prescribed by the volumetric flow rate as per Eq. (:eq:`ModelColumn`). -- If both cross section area :math:`A` and interstitial velocity :math:`u` are given, the magnitude of the actual interstitial velocity :math:`u` is inferred from the volumetric flow rate and the flow direction is given by the sign of the provided :math:`u`. +- If both cross section area :math:`A` and interstitial velocity :math:`u` are given, only the sign of the provided interstitial velocity determines the flow direction while the magnitude of the actual interstitial velocity :math:`u` is inferred from the volumetric flow rate. The final behavior for radial flow models is controlled by the interplay of column length/height and interstitial velocity coefficient: