English

Steady state thermodynamics of ideal gas in shear flow

Statistical Mechanics 2023-07-31 v1 Fluid Dynamics

Abstract

Equilibrium thermodynamics describes the energy exchange of a body with its environment. Here, we describe the global energy exchange of an ideal gas in the Coutte flow in a thermodynamic-like manner. We derive a fundamental relation between internal energy as a function of parameters of state. We analyze a non-equilibrium transition in the system and postulate the extremum principle, which determines stable stationary states in the system. The steady-state thermodynamic framework resembles equilibrium thermodynamics.

Keywords

Cite

@article{arxiv.2307.15457,
  title  = {Steady state thermodynamics of ideal gas in shear flow},
  author = {Karol Makuch and Konrad Giżyński and Robert Hołyst and Anna Maciołek and Paweł J. Żuk},
  journal= {arXiv preprint arXiv:2307.15457},
  year   = {2023}
}