摘要: It is shown how the Boltzmann equation corresponding to a model granular gas can be systematically analyzed in order obtain constitutive relations as well boundary conditions. appears that formulation leading establishment of conditions first systematic approach problem even realm molecular gases. Limitations on results, particular restriction their validity near elastic systems are explained and follow from mesoscopic nature
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sci-hub.st 参考文章(22)
Irwin Oppenheim, Nonlinear Response Theory Correlation Functions and Quasiparticle Interactions in Condensed Matter. pp. 235- 258 ,(1978) , 10.1007/978-1-4684-3360-9_4
M. Slemrod, Renormalization of the Chapman-Enskog Expansion: Isothermal Fluid Flow and Rosenau Saturation Journal of Statistical Physics. ,vol. 91, pp. 285- 305 ,(1998) , 10.1023/A:1023048322851
Ferdinand Schürrer, Georg Kügerl, On the relaxation of single hard‐sphere gases Physics of Fluids. ,vol. 2, pp. 609- 618 ,(1990) , 10.1063/1.857762
MN. Kogan, Rarefied Gas Dynamics ,(1969)
C. K. K. Lun, S. B. Savage, D. J. Jeffrey, N. Chepurniy, Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield Journal of Fluid Mechanics. ,vol. 140, pp. 223- 256 ,(1984) , 10.1017/S0022112084000586
Chang Sub Kim, Andrés Santos, J. Javier Brey, James W. Dufty, Hydrodynamics for granular flow at low density Physical Review E. ,vol. 58, pp. 4638- 4653 ,(1998) , 10.1103/PHYSREVE.58.4638
J. T. Jenkins, M. W. Richman, Plane simple shear of smooth inelastic circular disks: the anisotropy of the second moment in the dilute and dense limits Journal of Fluid Mechanics. ,vol. 192, pp. 313- 328 ,(1988) , 10.1017/S0022112088001879
I. Goldhirsch, N. Sela, Origin of normal stress differences in rapid granular flows. Physical Review E. ,vol. 54, pp. 4458- 4461 ,(1996) , 10.1103/PHYSREVE.54.4458
I. Goldhirsch, M‐L. Tan, The single‐particle distribution function for rapid granular shear flows of smooth inelastic disks Physics of Fluids. ,vol. 8, pp. 1752- 1763 ,(1996) , 10.1063/1.868951
A. V. Bobylev, Exact solutions of the nonlinear Boltzmann equation and the theory of relaxation of a Maxwellian gas Theoretical and Mathematical Physics. ,vol. 60, pp. 820- 841 ,(1984) , 10.1007/BF01018983