N. N. Bogolyubov, Problems of Dynamic Theory in Statistical Physics [in Russian], Gostekhizdat (1946). About this Article Title Kinetic equation for a nonideal gas with internal degrees of freedom Journal Soviet Physics Journal Volume 21, Issue 10 , pp 1353-1354 Cover Date 1978-10-01...
A kinetic equation describing the elastic interaction of an extremely rarefied gas of high-energy particles with a crystalline structure is systematically derived from these equations.doi:10.1007/BF01207693I. I. Ol'khovskiiM. V. Lomonosov Moscow State UniversityM. B. Ependiev...
The energy dissipation in a gas of structured objects, e.g. molecules, is considered in density matrix formalism. It is shown that the macroscopic irreversibility of the kinetic processes can be considered as a consequence of the microscopic operator ordering. Our approach is free of any special...
In this paper we introduce a "lattice gas with energy," and obtain the "fluctuation dissipation equation" for it. The system has two conserved quantities, the number of particles and the total energy. Once the "fluctuation dissipation equation" is established, the hydrodynamic limit is easily de...
Important kinetic energy equations derived from the average-passage equation sets are documented, with a view to their interrelationships. These kinetic equations may be used for closing the average-passage equations. The turbulent kinetic energy transport equation used is formed by subtracting the mean...
Maxwell [47] discovered his distribution function in 1857 based on the statistical argument on the equi-partition of the kinetic energy of gas particles, while it is in 1872 when L. Boltzmann [14] established his equation based on the Newtonian mechanics. In [14], Boltzmann showed that the ...
Other forms of energy (electrical, magnetic, chemical, etc.) may have to be taken into account in some circumstances, but are not usually included in general fluid mechanics relationships. Enthalpy and entropy need to be considered for gas flow analysis (see Section 1.5.8). The basic energy-...
andarethekineticenergyanddis-sipationofturbulence,respectively,andisascalarvariabledescribing,e.g.,themassfractionofaspecies.Thesourcetermhasnon-zerocomponentsfortheequationsforturbulenceandpossiblyforthescalarequation.Performingtheintegrationsforacomputationalcellyields(2)where(3)2.2TurbulenceModelingTheeffectsof...
The Boltzmann constant (kB) is the proportional relationship between kinetic energy and temperature. Avogadro's number (NA) is the number of molecules in a substance relative to the amount of that substance. In short, PV=nRT where the following statements are true: The gas is assumed to be ...
5) ideal gas 理想气体 1. Basic differential equation of self-similar motion of one-dimensional nonsteady flow of ideal gas; 理想气体一维不定常流自模拟运动的基本微分方程 2. A deducing method of the average translational kinetic energy of the ideal gas molecules; 理想气体分子的平均平动能的...