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Add doc for suspension viscosity models

Merged Add doc for suspension viscosity models
rangarad/docs:mr_1320 into main
Merged Deepak Rangarajan requested to merge rangarad/docs:mr_1320 into main
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docs/source_docs/user_guide/inputs/fluid_model.rst
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@@ -39,23 +39,26 @@ The following inputs are defined using the ``fluid`` prefix.
| | eddy viscosity model. | | |
+--------------------------------------------+------------------------------------------------------------+--------+----------+
| viscosity.eddy.WALE.constant | WALE eddy viscosity model constant. | Real | 0.325 |
+--------------------------------------------+------------------------------------------------------------+--------+----------+
| viscosity.suspension | Specify suspension viscosty model. | String | None |
--------------------------------------------+------------------------------------------------------------+--------+----------+
| viscosity.suspension | Specify suspension viscosty model of the form | String | None |
| | :math:`\mu_{susp}=\mu_{mol}(\mu^* - 1)` | | |
| | | | |
| | Available options include: | | |
| | | | |
| | * ``None`` No eddy viscosity model | | |
| | * ``None`` No eddy suspension model | | |
| | :math:`\mu^*=1` | | |
| | | | |
| | * ``Einstein`` :cite:p:`einstein11` | | |
| | * ``Brinkman`` :cite:p:`brinkman52,gibilaro07` | | |
| | :math:`\mu^*=1 + 2.5\varepsilon_s` | | |
| | | | |
| | :math:`\mu_{susp}=\mu_{mol} (1-\varepsilon_s)^{-n}` | | |
| | * ``Brinkman`` :cite:p:`brinkman52,gibilaro07` | | |
| | :math:`\mu^*=(1-\varepsilon_s)^{-c}` | | |
| | | | |
| | * ``Roscoe`` :cite:p:`roscoe52,krieger59,maron56` | | |
| | | | |
| | :math:`\mu_{susp}=\mu_{mol} \mu^*`, where | | |
| | :math:`\mu^*=(max(c1-\varepsilon_s,10^{-9})/c1)^{-c2}`| | |
| | :math:`\mu^*=(1-\varepsilon_s/c_1)^{-c_2}` | | |
| | | | |
| | * ``ChengLaw`` :cite:p:`cheng03` | | |
| | :math:`\mu^*=e^{2.5(1/(1-\varepsilon_s)^c-1)/c}` | | |
| | | | |
+--------------------------------------------+------------------------------------------------------------+--------+----------+
| viscosity.suspension.Brinkman.constant | Constant for exponent in Brinkman suspension expression. | Real | None |