This article discusses the development of continuum models to describe processes in gases
in which the particle collisions cannot maintain thermal equilibrium. Such a situation typically …

This work is mainly concerned with the extension of hydrodynamics beyond the Navier–
Stokes equations, a regime known as Burnett hydrodynamics. The derivation of the Burnett …

The method of moments is employed to extend the validity of continuum-hydrodynamic
models into the transition-flow regime. An evaluation of the regularized 13 moment …

A revision of Newton's law of viscosity appearing in the role of the deviatoric stress tensor in
the Navier–Stokes equation is proposed for the case of compressible fluids, both gaseous …

Hydrodynamics is a powerful emergent theory for the large-scale behaviours in many-body
systems, quantum or classical. It is a gradient series expansion, where different orders of …

Efficient modelling of gas microflows requires accurate, yet fast to solve, models. For finite
but moderate Knudsen numbers, extended macroscopic transport equations offer an …

The regularized 13 moment (R13) equations and their boundary conditions are considered
for plane channel flows. Chapman-Enskog scaling based on the Knudsen number is used to …

The Navier–Stokes–Fourier (NSF) equations are shown to be strictly applicable only to
incompressible flows, namely those involving fluids whose density is uniform throughout …

Recently, the generalized hydrodynamic equations (GHE) and nonlinear coupled
constitutive relation (NCCR) model have been successfully utilized for the practical …

A set of constitutive relations for the stress tensor and heat flux vector for the hydrodynamic
description of rarefied gas flows is derived in this work. A phase density function consistent …