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Started to describe the partial derivatives for incompressible fluids

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Jorrit Wronski
2015-11-15 14:50:20 +01:00
parent fd59ca728f
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Web/fluid_properties/Incompressibles.rst
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@@ -151,6 +151,25 @@ corresponds to the new mixture syntax in CoolProp v5.
time, mixture solvers are likely to produce errors due to the same reason...
Partial Derivatives
-------------------
A limited subset of partial derivatives is available for the incompressible fluids. As of
October 2015, the following inputs are supported by the ``PropsSI`` function:
:math:`\left( \partial \rho / \partial T \right)_{p,x}`,
:math:`\left( \partial s / \partial T \right)_{p,x}`,
:math:`\left( \partial h / \partial T \right)_{p,x}`,
.. :math:`\left( \partial s / \partial T \right)_{p,x}`,dsdTatPxdT
.. :math:`\left( \partial h / \partial T \right)_{p,x}`,dhdTatPxdT
:math:`\left( \partial s / \partial p \right)_{T,x}` and
:math:`\left( \partial h / \partial p \right)_{T,x}`.
Note that all partial derivatives require a constant concentration, which is denoted by the
``x``, but this ``x`` is not included in the derivative string notation for ``PropsSI``:
:math:`\left( \partial \rho / \partial T \right)_{p,x}` translates to ``d(Dmass)/d(T)|P``
.. _FittingReports: