Internal energy in compressible Poiseuille flow

Abstract

We analyse a compressible Poiseuille flow of ideal gas in a plane channel. We provide the form of internal energy U for a non-equilibrium stationary state (NESS) that includes viscous dissipation and pressure work. We demonstrate that U depends strongly on the ratio Δp/p_0, where Δp is the pressure difference between inlet and outlet and p_0 is the outlet's pressure. In addition, U depends on two other variables: the channel aspect ratio and the parameter equivalent to Reynolds number. The stored internal energy, ΔU=U-U0, is small compared to the internal energy U0 of the equilibrium state (ES) for a moderate range of values of Δp/p_0. However, ΔU can become large for big Δp or close to vacuum conditions at the outlet (p_0~0 Pa).

17 pages, 9 figures

References in corpus (3)

• Flux and storage of energy in non-equilibrium, stationary states
• Storage of energy in constrained non-equilibrium systems
• Energy Storage in Steady States under Cyclic Local Energy Input