= Centrifugal potential of cylindrical rotation
{title2=$\Psi=\Phi-\int_0^R R'\Omega^2(R')\,dR'$}
For <angular velocity> depending only on cylindrical radius, the centrifugal acceleration is a <gradient>. Steady barotropic balance is $\nabla p/\rho=-\nabla\Psi$, hence <specific enthalpy> satisfies $h(\rho)+\Psi=\text{constant}$. On an invertible equation-of-state branch, <mass density> and <pressure> are functions of $\Psi$. Cylindrical rotation is essential to this scalar centrifugal-potential representation.
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