Beyond the Navier–Stokes equations: burnett hydrodynamics
LS García-Colín, RM Velasco, FJ Uribe - Physics Reports, 2008 - Elsevier
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 …
Stokes equations, a regime known as Burnett hydrodynamics. The derivation of the Burnett …
The theory of irreversible processes: foundations of a non-equilibrium statistical ensemble formalism
R Luzzi, AR Vasconcellos, JG Ramos - La Rivista del Nuovo Cimento, 2006 - Springer
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 …
formalism is presented. Such construction has been approached along the recently past …
Nonlinear transport coefficients from Grad's 13–moment approximation
FJ Uribe, RM Velasco - Meccanica, 2023 - Springer
In this work we use Grad's 13–moment approximation to study a stationary shock wave in
dilute gases. The conservation equations valid across the shock wave profile depend on the …
dilute gases. The conservation equations valid across the shock wave profile depend on the …
Exact summation of the Chapman-Enskog expansion from moment equations
IV Karlin - Journal of Physics A: Mathematical and General, 2000 - iopscience.iop.org
Exact summation of the Chapman-Enskog expansion from moment equations Page 1 Journal
of Physics A: Mathematical and General Exact summation of the Chapman-Enskog expansion …
of Physics A: Mathematical and General Exact summation of the Chapman-Enskog expansion …
Nonlinear viscosity and velocity distribution function in a simple longitudinal flow
A Santos - Physical Review E, 2000 - APS
A compressible flow characterized by a velocity field ux (x, t)= ax/(1+ at) is analyzed by
means of the Boltzmann equation and the Bhatnagar-Gross-Krook kinetic model. The sign of …
means of the Boltzmann equation and the Bhatnagar-Gross-Krook kinetic model. The sign of …
Unsteady non-Newtonian hydrodynamics in granular gases
A Astillero, A Santos - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
The temporal evolution of a dilute granular gas, both in a compressible flow (uniform
longitudinal flow) and in an incompressible flow (uniform shear flow), is investigated by …
longitudinal flow) and in an incompressible flow (uniform shear flow), is investigated by …
Inconsistency in the moment's method for solving the Boltzmann equation
LS García-Colín, RM Velasco, FJ Uribe - 2004 - degruyter.com
Moment's methods devised to solve the Boltzmann kinetic equation for a simple, inert, dilute
gas exhibit inconsistencies. These are brought up in a general way for the ordinary …
gas exhibit inconsistencies. These are brought up in a general way for the ordinary …
Comments on nonlinear viscosity and Grad's moment method
A Santos - Physical Review E, 2003 - APS
It is shown that the steady unidirectional flow with vanishing heat flux considered by BC Eu
[Phys. Rev. E 65, 031202 (2002)], and earlier by Uribe and García-Colín [Phys. Rev. E 60 …
[Phys. Rev. E 65, 031202 (2002)], and earlier by Uribe and García-Colín [Phys. Rev. E 60 …
Longitudinal viscous flow in granular gases
A Santos - arXiv preprint arXiv:0809.1731, 2008 - arxiv.org
The flow characterized by a linear longitudinal velocity field $ u_x (x, t)= a (t) x $, where $ a
(t)={a_0}/({1+ a_0t}) $, a uniform density $ n (t)\propto a (t) $, and a uniform temperature $ T …
(t)={a_0}/({1+ a_0t}) $, a uniform density $ n (t)\propto a (t) $, and a uniform temperature $ T …
Hydrodynamics, Grad's moments method and the structure of shock waves
FJ Uribe, RM Velasco, LS Garcia-Colin - Developments in Mathematical …, 2003 - Springer
The propagation of a plane shock wave through a monatomic gas is considered. A study
based on Grad's thirteen moment approximation to the solution of Boltzmann's equation is …
based on Grad's thirteen moment approximation to the solution of Boltzmann's equation is …