This paper compares three popular notions of admissibility for weak solutions of the compressible isentropic Euler equations of gas dynamics: (i) the viscosity criterion, (ii) the entropy inequality (the thermodynamically admissible isentropic solutions), and (iii) the viscosity-capillarity criterion. An exact summation of the Chapman-Enskog expansion for Grad's moment system suggests that it i...

How to accurately probe chemically reactive flows with essential thermodynamic nonequilibrium effects is an open issue. Via the Chapman-Enskog analysis, local particle velocity distribution function derived from gas kinetic theory. It demonstrated theoretically and numerically that depends on physical quantities derivatives, independent of chemical reactions directly. Based simulation results d...

Fluid flows in the nanometer scale can be studied by molecular dynamics or Monte Carlo methods, but the time and length scales are usually limited to rather short ranges due to the computational expense. Kinetic theory is an alternative tool for studying nanoscale flows, but the existing models are rather complicated and difficult to implement. In this paper, we propose a simple Enskog-like kin...

Using a recently developed diagrammatic formulation of the kinetic theory of fluctuations in liquids, we investigate the short time behavior of the memory function for density fluctuations in a classical atomic fluid. At short times, the memory function has a large contribution that is generated by the repulsive part of the interatomic potential. We introduce a small parameter that is a measure...

In this work, the causality and stability of a first-order relativistic dissipative hydrodynamic theory, that redefines fields from first principle microscopic estimation, have been analyzed. A generic approach gradient expansion for solving transport equation has adopted using Chapman-Enskog iterative method. Next, momentum dependent relaxation time approximation (MDRTA) employed to quantify c...

a specific form of the inertial law is presented by which we can gain a deeper insight into the essence of mass and inertia. in this modified theory, there is no need to keep the concept of absolute space and newton's third law as principles, by introducing a convenient form for gravitational law the coupling constant g becomes a function of inertial parameters of the universe

In earlier work [G. Raabe and R. J. Sadus, J. Chem. Phys. 119, 6691 (2003)] we reported that the combination of an accurate two-body ab initio potential with an empirically determined multibody contribution enables the prediction of the phase coexistence properties, the heats of vaporization, and the pair distribution functions of mercury with reasonable accuracy. In this work we present molecu...

We establish existence with sharp rates of decay and distance from the Chapman– Enskog approximation of small-amplitude quasilinear relaxation shocks in the general case that the profile ODE may become degenerate. Our method of analysis follows the general approach used by Métivier and Zumbrun in the semilinear case, based on Chapman–Enskog expansion and the macro–micro decomposition of Liu and...

Using the general theory developed by the author in the previous paper, the problems of thermophoresis and diffusio-phoresis have been examined with a view to elucidating the effect of a general gas-surface scattering law on the associated forces. It is found that, in thermo-phoresis, there exists a close coupling between the first anisotropic moment of the gas-surface scattering law and the so...