The transport of small particles in the free-molecule regime is investigated on the basis of gas kinetic theory. Drag force formulations were derived in two limiting collision models-namely, specular and diffuse scattering-by considering the potential force of interactions between the particle and fluid molecules. A parametrized drag coefficient equation is proposed and accounts for the transit...

Using charged hard spheres model as an example, the dense one-component plasma is considered. For this model the Enskog-Landau kinetic equation is obtained and its normal solution is found using Chapman-Enskog method. Transport coefficients are obtained numerically and analytically and compared with the experimental data available. PACS: 05.60.+w, 05.70.Ln, 05.20.Dd, 52.25.Dg, 52.25.Fi.

Using a method of expansion similar to Chapman Enskog expansion, a new formal perturbation scheme based on high frequency approximation has been constructed. The scheme leads to an eikonal equation in which the leading order amplitude appears. The transport equation for the amplitude has been deduced with an error O(ǫ2) where ǫ is the small parameter appearing in the high frequency approximatio...

The description of a stellar system as a continuous fluid represents a convenient first approximation to stellar dynamics, and its derivation from the kinetic theory is standard. The challenge lies in providing adequate closure approximations for the higher-order moments of the phase-space density function that appear in the fluid dynamical equations. Such closure approximations may be found us...

Numerical technique Lattice Boltzmann Method (LBM) is relatively new approach based on gas kinetic theory in meso-scale. Macroscopic variables such as pressure and velocity can be determined by momentum of so called particle distribution functions which are described by Boltzmann transport equation. LBM has been extensively studied in last several decades and witnessed as capable like conventio...

Reactive systems in a thermochemical conversion domain are modelled considering N-specie, 1-energy and 2-mass conservation equations assuming negligible pressure gradient resulting N+3 non-linear coupled PDE system with dependency on thermodynamic transport properties. Typically, simplistic temperature-dependent polynomials chosen for estimating thermal conductivity specific heat, however, the ...

Using and comparing kinetic theory second-order Chapman-Enskog hydrodynamics, we study the non-conformal dynamics of a system undergoing Bjorken expansion. We use concept `free-streaming fixed lines' for scaled shear bulk stresses in show that these `fixed behave as early-time attractors repellors evolution. In conformal limit, free-streaming lines reduce to well-known points dynamics. A new po...

Investigation of transfer processes in dense weakly or fully ionized many-component gases is topical in view of construction and improvement of new gaseous lasers, plasmo-chemical reactors for ozone synthesis, and air cleaning of both nitrogen and carbon oxides and chlorine compounds. A study and calculation of transfer coefficients taking into account the interparticle interaction nature is on...

The Enskog kinetic theory for moderately dense gas-solid suspensions under simple shear flow is considered as a model to analyze the rheological properties of the system. The influence of the environmental fluid on solid particles is modeled via a viscous drag force plus a stochastic Langevin-like term. The Enskog equation is solved by means of two independent but complementary routes: (i) Grad...