Constitutive laws for discrete velocity gases
Abstract
The discrete kinetic theory is generalized by introducing multiple collisions: the purpose is to reduce the number of summational invariants and, if possible, to obtain the physical invariants, mass, momentum, and energy as the only ones. For a class of models with properties of isotropy and for which the summational invariants reduce to the physical ones, there is good agreement between the NavierStokes equations associated with the model and the classical equations for Newtonian fluids. In particular cases, the viscosity and thermal conductivity coefficients are given explicity.
 Publication:

Rarefied Gas Dynamics
 Pub Date:
 1991
 Bibcode:
 1991rgd..proc..819G
 Keywords:

 Constitutive Equations;
 Flow Velocity;
 Gas Flow;
 Kinetic Theory;
 Euler Equations Of Motion;
 Hydrodynamic Equations;
 Molecular Collisions;
 NavierStokes Equation;
 Thermal Conductivity;
 Viscosity;
 Thermodynamics and Statistical Physics