Thermal pseudo stress in rotating matter

TL;DR

This paper explores how thermal molecular motion in rotating systems causes pseudo stresses, including shear and normal stresses, with potential implications for planetary atmospheres and various states of matter.

Contribution

It derives the effects of thermal motion-induced pseudo stresses in rotating matter, extending the concept to gases, liquids, solids, and plasma.

Findings

Pseudo shear stress is negligible in Venus and Earth's atmospheres.

Normal pseudo stress from E"otv"os effects is reduced by about 0.3-0.5%.

Normal stress increases with the square root of temperature.

Abstract

Thermal molecular motion in an accelerated coordinate system causes variety in pseudo forces and thus variety in pseudo stress in rotating matter. Averaged E\"otv\"os effects and Coriolis accelerations on molecular level become noticeable. The effect is here derived for gas but does also exist in liquids, solid matter and plasma. In the atmosphere of Venus and Earth the pseudo shear stress is negligible and the vertical normal pseudo stress from E\"otv\"os effects is lowered by 0.51 % and 0.27 % respectively. The shear stress component is not dependent on temperature and the normal stress component increases with the square root of the temperature.