Generalized hydrodynamics in the transient regime and irreversible thermodynamics

Abstract

In this article the thermodynamically consistent formulation of generalized hydrodynamics is reviewed and applications to shock-wave structures, ultrasonic wave absorption and dispersion and microchannel flows of the generalized hydrodynamics so formulated are discussed. The kinematic terms of the constitutive equations in the generalized hydrodynamic equations for liquids, which have been calculated by means of non-equilibrium grand canonical ensemble, are also presented.

An axisymmetric computational model of generalized hydrodynamic theory for rarefied multi-species gas flows

“…The generalized hydrodynamic (GH) theory developed by Eu [2,8,[12][13][14] is derived under the strict constraint of the second law of thermodynamics. With the help of modern CFD techniques, there have been some effort and progress to establish a GH computational model for a single species gas in two-dimensional setting [7,15].…”