Kinetic Integrals in the Kinetic Theory of dissipative gases
نویسندگان
چکیده
The kinetic theory of gases, including Granular Gases, is based on the Boltzmann equation. Many properties of the gas, from the characteristics of the velocity distribution function to the transport coefficients may be expressed in terms of functions of the collision integral which we call kinetic integrals. Although the evaluation of these functions is conceptually straightforward, technically it is frequently rather cumbersome. We report here a method for the analytical evaluation of kinetic integrals using computer algebra. We apply this method for the computation of some properties of Granular Gases, ranging from the moments of the velocity distribution function to the transport coefficients. For their technical complexity most of these quantities cannot be computed manually.
منابع مشابه
Kinetic theory for dissipative particle dynamics: the importance of collisions
– Kinetic theory of dissipative particle dynamics is developed in terms of a Boltzmann pair collision theory. The kinetic transport coefficients are computed from explicit collision integrals and compared favourably with detailed simulations. Previous theory is found to correspond to a weak scattering limit, or Vlasov theory, and previously reported discrepancies with simulations are thereby re...
متن کاملPreparation of Carbon Molecular Sieves from Pistachio Shell and Walnut Shell for Kinetic Separation of Carbon Monoxide, Hydrogen, and Methane
In this study, two Carbon Molecular Sieves using Pistachio shell (CMS P) and Walnut shell (CMS W) were prepared by a chemical vapor deposition method and used for pressure swing adsorption and separation of CO/H2 and CO/CH4. Adsorption isotherms of gases obtained for both CMS’s. The Dubinin-Radushkevich isotherm model was used for comparing pore volum...
متن کاملVelocity distributions of granular gases with drag and with long-range interactions.
We study velocity statistics of electrostatically driven granular gases. For two different experiments, (i) nonmagnetic particles in a viscous fluid and (ii) magnetic particles in air, the velocity distribution is non-Maxwellian, and its high-energy tail is exponential, P(upsilon) approximately exp(-/upsilon/). This behavior is consistent with the kinetic theory of driven dissipative particles....
متن کاملOn the problem of a consistent description of kinetic and hydrodynamic processes in dense gases and liquids
For a consistent description of kinetic and hydrodynamic processes in dense gases and liquids the generalized non-Markovian equations for the nonequilibrium one-particle distribution function and potential part of the averaged enthalpy density are obtained. The inner structure of the generalized transport kernels for these equations is established. It is shown that the collision integral of the...
متن کاملEffects of coupling on turbulent gas-particle boundary layer flows at borderline volume fractions using kinetic theory
This study is concerned with the prediction of particles’ velocity in a dilute turbulent gas-solidboundary layer flow using a fully Eulerian two-fluid model. The closures required for equationsdescribing the particulate phase are derived from the kinetic theory of granular flows. Gas phaseturbulence is modeled by one-equation model and solid phase turbulence by MLH theory. Resultsof one-way and...
متن کامل