New kinetic theory for nonequilibrium dense gases
Abstract
In the usual kinetic theory of gases it has been believed that any states of gases are describable if the Liouville equation is suitably approximated because the equation describes every mechanical state of gases. Here, however, the Liouville equation, which is certainly deterministic in phase space, is clarified to be able to treat only isotropic equilibrium dilute gases in muspace, through the discussion of which a new kinetic theory is proposed to treat anisotropic nonequilibrium dense gases. These matters are reported in Part 1. In Part 2, an extended Boltzmann equation is derived by applying the theory to the case of nonequilibrium monoatomic molecular dense gases in which the effect of triple collisions is considered so anisotropic momentum transfer in collisions can be treated. In Part 3, the case of nonequilibrium gases of dumbbellshaped molecules is treated and moment equations of angular momentum transfer between rotating molecules are shown to be expressed in the same form as Maxwell's equations; this corresponds to the growth theory of thunder.
 Publication:

Unknown
 Pub Date:
 March 1991
 Bibcode:
 1991nktn.rept.....T
 Keywords:

 Angular Momentum;
 Diatomic Gases;
 Kinetic Theory;
 Liouville Equations;
 Liouville Theorem;
 Molecular Collisions;
 Molecular Gases;
 Momentum Transfer;
 Nonequilibrium Conditions;
 Anisotropy;
 BoltzmannVlasov Equation;
 Gas Density;
 Gas Dynamics;
 Maxwell Equation;
 Atomic and Molecular Physics