The inelastic Boltzmann equation is used in order to study stationary shear flows in a rarefield granular gas of hard spheres. We resort to a Gaussian moment approximation in order to calculate the pressure tensor in three dimensions. The method is discussed along with previously introduced techniques: asymptotic expansion in the near elastic limit, and pseudo-Maxwellian approximation. Numerical results and approximate analytic formulas for the pressure tensor are presented and briefly commented on. A comparison with the pseudo-Maxwellian solution is discussed in detail.
Approximate solutions to the problem of stationary shear flow of smooth granular materials / Bobylev, A. V.; Groppi, M.; Spiga, G.. - In: EUROPEAN JOURNAL OF MECHANICS. B, FLUIDS. - ISSN 0997-7546. - 21:1(2002), pp. 91-103. [10.1016/S0997-7546(01)01162-1]
Approximate solutions to the problem of stationary shear flow of smooth granular materials
Groppi M.;Spiga G.
2002-01-01
Abstract
The inelastic Boltzmann equation is used in order to study stationary shear flows in a rarefield granular gas of hard spheres. We resort to a Gaussian moment approximation in order to calculate the pressure tensor in three dimensions. The method is discussed along with previously introduced techniques: asymptotic expansion in the near elastic limit, and pseudo-Maxwellian approximation. Numerical results and approximate analytic formulas for the pressure tensor are presented and briefly commented on. A comparison with the pseudo-Maxwellian solution is discussed in detail.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
