The rheological properties for dilute and moderately dense granular binary mixtures of smooth, inelastic hard disks/spheres under uniform shear flow in steady state conditions are reported. The results are based on the Enskog kinetic theory, numerically solved by a dense gas extension of the Direct Simulation Monte Carlo method for dilute gases. These results are confronted to the ones also obt...

in this study, the vibration behavior of functional graded (fg) circular and annular nanoplate embedded in a visco-pasternak foundation and coupled with temperature change is studied. the effect of in-plane pre-load and temperature change are investigated on the vibration frequencies of fg circular and annular nanoplate. to obtain the vibration frequencies of the fg circular and annular nanopla...

Subsonic nonideal gas flow and heat transfer in micro- and nanochannels for different Knudsen numbers are investigated numerically using the direct simulation Monte Carlo method modified with a consistent Boltzmann algorithm. The van der Waals equation is used as the equation of state. The collision rate is also modified based on the Enskog theory for dense gas. It is shown that the nonideal ga...

The revised Enskog theory for inelastic hard spheres is considered as a model for rapid flow granular media at finite densities. A normal solution is obtained via the Chapman-Enskog method for states near the local homogeneous cooling state. The analysis is performed to first order in the spatial gradients, allowing identification of the Navier-Stokes order transport coefficients associated wit...

A stochastic model of the revised Enskog equation is considered. A choice of the smearing function suggested by the work of Leegwater ([1]) is used to apply the model to the repulsive part of the Lennard-Jones potential and the inverse-power soft-sphere potential. The virial coefficients obtained from the equilibrium properties of the models are in excellent agreement with the known exact coeff...

The kinetic theory for a fluid of hard spheres which undergo endothermic and/or exothermic reactions with mass transfer is developed. The exact balance equations for concentration, density, velocity, and temperature are derived. The Enskog approximation is discussed and used as the basis for the derivation, via the Chapman-Enskog procedure, of the Navier-Stokes reaction equations under various ...

The well known domain wall type solutions are nowadays of great physical interest in classical field theory. These solutions can mostly be found only approximatelly. Recently the Hilbert-Chapman-Enskog method was succesfully applied to obtain this type solutions in φ theory. The goal of the present paper is to verify these perturbative results by numerical computations.

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The shear viscosity of matter and efficient simulating methods in a wide range temperatures densities are desirable. In this study, we present the deep-learning many-body potential (the deep potential) method to reduce computational cost simulations for liquid aluminum at high temperature pressure with accurate results. Viscosities 2.35 g/cm3, 2.7 3.5 4.27 g/cm3 from melting points about 50 000...