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 previous chapters presented detailed derivations of various sets of transport equations,
and here we take a step back and collect the equations on a few pages. The chapter begins …

The nowadays notable development of all the modern technology, fundamental for the
progress and well being of world society, imposes a great deal of stress in the realm of basic …

The main goal of the present study is to thoroughly test the recently derived OBurnett
equations for the normal shock wave flow problem for a wide range of Mach number (). A …

In the continuum transition flow regime, we propose to truncate the Chapman–Enskog
expansion of the Boltzmann equation to the Navier–Stokes order without going to the …

A new set of thermodynamically consistent Onsager-Burnett equations [Singh, Jadhav, and
Agrawal, Phys. Rev. E 96, 013106 (2017) 2470-0045 10.1103/PhysRevE. 96.013106] has …

In 1922 Becker found an exact solution for shock waves in gases using the Navier–Stokes–
Fourier constitutive equations for a Prandtl number of value 3/4 with constant transport …

A general overview on the construction of a non-equilibrium statistical mechanics ensemble
formalism is presented. Such construction has been approached along the recently past …

Numerical analysis of a steady monatomic gas flow about the point of the regular reflection
of a strong oblique shock wave from the symmetry plane is conducted with the Navier …

A higher-order hydrodynamics for material motion in fluids, under arbitrary nonequilibrium
conditions, is constructed. We obtain what is a generalized—to that conditions—Fick-type …