From 38ccf4e10a2efec27997fa73b5cd91eee9541db2 Mon Sep 17 00:00:00 2001 From: Jorrit Wronski Date: Sun, 15 Nov 2015 14:50:20 +0100 Subject: [PATCH] Started to describe the partial derivatives for incompressible fluids --- Web/fluid_properties/Incompressibles.rst | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) diff --git a/Web/fluid_properties/Incompressibles.rst b/Web/fluid_properties/Incompressibles.rst index 9fc21e20..a891efc0 100644 --- a/Web/fluid_properties/Incompressibles.rst +++ b/Web/fluid_properties/Incompressibles.rst @@ -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: