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 Navier-Stokes 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;
- Navier-Stokes Equation;
- Thermal Conductivity;
- Viscosity;
- Thermodynamics and Statistical Physics