= Barotropic enthalpy function
{title2=$h(\rho)=\int_{\rho_1}^\rho \frac{dp/d\rho^{\prime}}{\rho^{\prime}}d\rho^{\prime}$}
= Barotropic pressure potential
{synonym}
This <barotropic pressure potential> obeys $\nabla h=\nabla p/\rho$ for a <barotropic fluid>. It gives the <pressure> contribution to a steady <Bernoulli equation>. In isentropic thermodynamics it agrees with <specific enthalpy> up to a constant; for an externally maintained isothermal ideal gas it is $c_s^2\log\rho$ and is not the constant thermodynamic enthalpy at fixed temperature.
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