Steady state thermodynamics of ideal gas in shear flow

Karol Makuch, Konrad Giżyński, Robert Hołyst, Anna Maciołek, Paweł J. Żuk

Published 2023-07-28Version 1

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.