# Asymptotic solution of the Enskog equation

## Related Articles

- Gradâ€™s Moment Equations for Microscale Flows. Struchtrup, Henning // AIP Conference Proceedings;2003, Vol. 663 Issue 1, p792
Grad's moment equations are discussed for application to microscale flows in the transition regime. While Grad's 13 moment equations as well as Hilbert and Chapman-Enskog expansions of the Boltzmann equation cannot resolve the Knudsen boundary layer at the wall, this is different for moment...

- Extended Hydrodynamics from Enskog’s Equation for a Two-Dimensional System General Formalism. Ugawa, Hideaki; Cordero, Patricio // Journal of Statistical Physics;Apr2007, Vol. 127 Issue 2, p339
Balance equations are derived from Enskogâ€™s kinetic equation for a two-dimensional system of hard disks using Gradâ€™s moment expansion method. This set of equations constitute an extended hydrodynamics for moderately dense bi-dimensional fluids. The set of independent hydrodynamic...

- Kinetic theory of a binary mixture of nearly elastic disks. Willits, J.T.; Arnarson, B.O. // Physics of Fluids;Oct99, Vol. 11 Issue 10, p3116
Derives constitutive relations for a binary mixture of nearly elastic, circular disks using the Revised Enskog Theory. Viscosity resulting from hard disk simulations; Enskog viscosity for a radii ratio of 1.25; Perturbation coefficients of the expansion parameter used in the theory.

- Viscous Compressible Slip Flows. Part 1: Kinetic Flux Vector Splitting and its Variance Reduction form. Mahendra, Ajit Kumar; Gouthaman, G.; Singh, R. K. // International Journal of Emerging Multidisciplinary Fluid Scienc;Mar2011, Vol. 3 Issue 1, p21
The work is in two parts: Part 1 deals with kinetic treatment of the slip flow and Part 2 deals with numerical modeling of the rarefied and rotating slip flow. The present paper containing Part 1 gives an overview of kinetic theory and its application to fluid flow, Bhatnagar-Gross-Krook (BGK)...

- A kinetic model for fluidâ€“wall interaction. Frezzotti, A.; Gibelli, L. // Proceedings of the Institution of Mechanical Engineers -- Part C;May2008, Vol. 222 Issue 5, p787
A kinetic model of fluidâ€“wall interaction is proposed, on the basis of a simple extension of Enskog theory of dense fluids. The model leads to a linear integro-differential equation which can be solved by the same statistical particle methods used to solve kinetic equations for dilute or...

- Tracer diffusion in hard sphere fluids from molecular to hydrodynamic regimes. Sokolovskii, R. O.; Thachuk, M.; Patey, G. N. // Journal of Chemical Physics;11/28/2006, Vol. 125 Issue 20, p204502
Molecular dynamics is employed to investigate tracer diffusion in hard sphere fluids. Reduced densities (Ï*=ÏÏƒ3, Ïƒ is the diameter of bath fluid particles) ranging from 0.02 to 0.52 and tracers ranging in diameter from 0.125Ïƒ to 16Ïƒ are considered. Finite-size effects are found...

- Grad's moment method for a granular fluid at moderate densities: Navier-Stokes transport coefficients. Garzó, Vicente // Physics of Fluids;Apr2013, Vol. 25 Issue 4, p043301
The Navier-Stokes transport coefficients of a granular dense fluid of smooth inelastic hard disks or spheres are explicitly determined by solving the inelastic Enskog equation by means of Grad's moment method. The transport coefficients are explicitly determined as functions of the (constant)...

- Enskog Kinetic Equation Modified for a Dense Soft-Sphere Gas. Kurochkin, V. I. // Technical Physics;Nov2002, Vol. 47 Issue 11, p1364
The Enskog kinetic equation is modified for dense soft-sphere gases and gas mixtures when the diameter of the particles depends on their relative velocity. Analytical expressions for the transport coefficient of a monoatomic dense gas are derived, and the viscosity coefficient is calculated...

- A particle scheme for the numerical solution of the Enskog equation. Frezzotti, Aldo // Physics of Fluids;May97, Vol. 9 Issue 5, p1329
Reports on the solution of the kinetic equation proposed by Enskog for a dense hard sphere by a particle simulation method. Preservation of momentum and energy; Example of the calculation of the density profile in a dense gas in equilibrium near a hard wall.