On the statistical derivation of hydrodynamic equations of grad type

1973 ◽  
Vol 16 (3) ◽  
pp. 935-938
Author(s):  
V. A. Savchenko
Keyword(s):  
Hydrodynamic Equations ◽  
Statistical Derivation ◽  
Grad Type

Statistical derivation of hydrodynamic equations of the Grad-type

1968 ◽  
Vol 27 (9) ◽  
pp. 615-616 ◽  
Author(s):  
T.N. Khazanovich ◽  
V.A. Savchenko
Keyword(s):  
Hydrodynamic Equations ◽  
Statistical Derivation ◽  
Grad Type

Statistical derivation of hydrodynamic equations of the grad type

1973 ◽  
Vol 14 (3) ◽  
pp. 288-296 ◽  
Author(s):  
V. A. Savchenko ◽  
T. N. Khazanovich
Keyword(s):  
Hydrodynamic Equations ◽  
Statistical Derivation ◽  
Grad Type

The elasto-hydrodynamic equations of the colloidal crystals

1988 ◽  
Vol 49 (7) ◽  
pp. 1119-1125 ◽  
Author(s):  
M. Jorand ◽  
E. Dubois-Violette ◽  
B. Pansu ◽  
F. Rothen
Keyword(s):  
Colloidal Crystals ◽  
Hydrodynamic Equations

The motion of the particles volume corresponding to invariant solution of rank 2 submodel of hydrodynamic type

2016 ◽  
Vol 11 (2) ◽  
pp. 205-209
Author(s):  
D.T. Siraeva
Keyword(s):  
Equation Of State ◽  
Invariant Solution ◽  
Hydrodynamic Type ◽  
Lagrangian Coordinates ◽  
Hydrodynamic Equations ◽  
Rank 2 ◽  
Invariant Submodel ◽  
Entropy Functions

Invariant submodel of rank 2 on the subalgebra consisting of the sum of transfers for hydrodynamic equations with the equation of state in the form of pressure as the sum of density and entropy functions, is presented. In terms of the Lagrangian coordinates from condition of nonhyperbolic submodel solutions depending on the four essential constants are obtained. For simplicity, we consider the solution depending on two constants. The trajectory of particles motion, the motion of parallelepiped of the same particles are studied using the Maple.

Classical Kinetic Theory

2018 ◽  
Author(s):  
Klaus Morawetz
Keyword(s):  
Kinetic Equation ◽  
Equation Of State ◽  
Mean Field ◽  
Ideal Gas ◽  
Hydrodynamic Equations ◽  
Free Particles ◽  
Internal Mechanism ◽  
The Mean ◽  
Energy Gains ◽  
Non Locality

The classical non-ideal gas shows that the two original concepts of the pressure based of the motion and the forces have eventually developed into drift and dissipation contributions. Collisions of realistic particles are nonlocal and non-instant. A collision delay characterizes the effective duration of collisions, and three displacements, describe its effective non-locality. Consequently, the scattering integral of kinetic equation is nonlocal and non-instant. The non-instant and nonlocal corrections to the scattering integral directly result in the virial corrections to the equation of state. The interaction of particles via long-range potential tails is approximated by a mean field which acts as an external field. The effect of the mean field on free particles is covered by the momentum drift. The effect of the mean field on the colliding pairs causes the momentum and the energy gains which enter the scattering integral and lead to an internal mechanism of energy conversion. The entropy production is shown and the nonequilibrium hydrodynamic equations are derived. Two concepts of quasiparticle, the spectral and the variational one, are explored with the help of the virial of forces.

Sign in / Sign up

Export Citation Format

Share Document