Invariant form and asymptotic properties of a generalized quasigasdynamic system
Abstract
Two interrelated systems of equations, quasigasdynamic and generalized quasigasdynamic, obtained by the moment averaging of model kinetic equations of the Boltzmann kind, are examined. A derivation of the two systems of equations in arbitrary curvilinear coordinates is presented. The smooth solutions of the generalized quasigasdynamic system agree, within a certain error, with the NavierStokes equations. In the stationary case, a boundary layer approximation is obtained for quasigasdynamic equations, and the entropy equation is proved.
 Publication:

Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
 Pub Date:
 July 1991
 Bibcode:
 1991ZVMMF..31.1042E
 Keywords:

 Asymptotic Properties;
 Gas Dynamics;
 Kinetic Equations;
 NavierStokes Equation;
 Spherical Coordinates;
 Boundary Layer Equations;
 ChapmanEnskog Theory;
 Entropy;
 Invariance;
 Fluid Mechanics and Heat Transfer