Non-equilibrium piezo-thermal effect in spinning gas

TL;DR

This paper discovers a novel non-equilibrium piezo-thermal effect in spinning gases, where temperature differentials develop during adiabatic compression, deviating from homogeneous heating and depending on compression rate and potential amplitude.

Contribution

It introduces the piezo-thermal effect in spinning gases, demonstrating its bilinear growth with compression rate and potential amplitude, supported by numerical simulations.

Findings

Temperature differential forms during adiabatic compression.

Effect grows bilinearly with compression rate and potential amplitude.

Numerical simulations confirm the simple model of the effect.

Abstract

A spinning gas, heated adiabatically through axial compression, is known to exhibit a rotation-dependent heat capacity. However, as equilibrium is approached, a new effect is identified here wherein the temperature does not grow homogeneously in the radial direction, but develops a temperature differential with the hottest region on axis, at the maximum of the centrifugal potential energy. This phenomenon, which we call a piezo-thermal effect, is shown to grow bilinearly with the compression rate and the amplitude of the potential. Numerical simulations confirm a simple model of this effect, which can be generalized to other forms of potential energy and methods of heating.