  We discuss two-dimensional Madelung fluid dynamics whose irrotational case
reduces into the Schr\"odinger equation for a free single particle. We show
that the self-trapped spinning-stationary Madelung fluid reported in the
previous paper can be analogically identified as an equilibrium thermodynamics
system. This is done by making correspondence between Shannon entropy over
Madelung density and internal energy to be defined in the main text,
respectively with thermal-entropy and thermal-internal energy of equilibrium
thermodynamics system. This leads us to identify a Madelung fluid analog of
thermal-temperature at the vanishing value of which the stationary Madelung
fluid will be no more spinning and is equal to the quantum mechanical ground
state of a particle trapped inside a cylindrical tube external potential.
