Fluid Model for the Piezothermal Effect

TL;DR

This paper presents an analytical fluid model to describe the piezothermal effect in gases under external potential fields, providing new physical insights and explaining previous numerical results through viscosity and heat conductivity effects.

Contribution

It introduces a linearized fluid model that analytically captures the time-dependent behavior of the piezothermal effect and interprets it as buoyancy oscillations.

Findings

Quantitative differences explained by viscosity and heat conductivity.

The fluid model reveals the piezothermal effect as buoyancy oscillations.

Provides analytical solutions for the effect's dynamics.

Abstract

When a gas in an externally imposed potential field is compressed, temperature gradients appear. This has been called the piezothermal effect. It is possible to analytically calculate the time-dependent behavior of the piezothermal effect using a linearized fluid model. Quantitative differences between the fluid-model results and previous numerical calculations can be explained by the effects of viscosity and heat conductivity. The fluid model casts the piezothermal effect as a spectrum of buoyancy oscillations, which yields new physical insights into the effect.