A consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method A statistical approach to a self-consistent description of kinetic and hydrody-namic processes in systems of interacting particles is formulated on the basis of the nonequilibrium statistical operator method by D.N.Zubarev. It is shown how to obta...

in this paper, the transient inertial viscoelastic flow around a circular cylinder is investigated numerically. a second order finite-volume method is used to increase the numerical accuracy. here, the giesekus model is used as the constitutive equation. this nonlinear model has prominent ability in describing normal stress differences and viscosity in power-law regions. the impacts of the elas...

The aim of this paper is to present a kinetic numerical scheme for the computations of transient pressurised flows in closed water pipes. Firstly, we detail the mathematical model written as a conservative hyperbolic partial differentiel system of equations, and then we recall how to obtain the corresponding kinetic formulation. Then we build the kinetic scheme ensuring an upwinding of the sour...

Currently, the oil crisis and serious environmental problems related to fossil fuels have caused the world to turn more attention toward biofuels production, especially ethanol fermentation from biomass. An appropriate kinetic model of ethanol fermentation would be a powerful instrument for fermentation efficiency increase and process optimization. The well-known Monod equation has been widely ...

The Doi-Hess theory coupled with an anisotropic Marrucci-Greco distortional elasticity potential provides a kinetic, mean field description of the coupling between hydrodynamics, molecular orientation by excluded volume, and elastic distortions of flowing nematic liquid crystalline polymers (LCPs). In this paper we provide the first numerical algorithm and implementation of kinetic-scale models...

We study, both analytically and by numerical modeling the equilibrium probability density function for an non-linear Lévy oscillator with the Lévy index α, 1 ≤ α ≤ 2, and the potential energy x 4. In particular, we show that the equilibrium PDF is bimodal and has power law asymptotics with the exponent −(α + 3). 1 Starting equations Recently, kinetic equations with fractional derivatives have a...

This article is on the simultaneous diffusion approximation and homogenization of the linear Boltzmann equation when both the mean free path ε and the heterogeneity length scale η vanish. No periodicity assumption is made on the scattering coefficient of the background material. There is an assumption made on the heterogeneity length scale η that it scales as ε for β ∈ (0,∞). In one space dimen...

Thermal decomposition kinetics of calcium carbonate was studied by non-isothermal thermogravimetric analysis at different heating rates. The reaction mechanism was found to follow a two-dimensional phase boundary-controlled model by modelfree and model-fitting methods. Two non-Arrhenius equations (Harcourt–Esson equation and Berthelot–Hood equation) were used to interpret the decomposition kine...

We develop the formalism discussed previously in hep-ph/0601209 and hep-ph/0605246 to construct a kinetic theory that provides insight into the earliest “Glasma” stage of a high energy heavy ion collision. Particles produced from the decay of classical fields in the Glasma obey a Boltzmann equation whose novel features include an inhomogeneous source term and new contributions to the collision ...