Chapman-Enskog solution of the Boltzmann equation: the case of a granular suspension

by Rubén Gómez González (Universidad de Extremadura)

Wednesday 1 Dec 2021, 11:00 → 12:00 Europe/Rome

Aula 8 (Dipartimento di Fisica - Ed E. Fermi)

The Navier–Stokes hydrodynamic equations of granular suspensions are derived by solving the Boltzmann kinetic equation by means of the Chapman–Enskog method. First step is to characterise the reference state in the perturbation scheme, namely the homogeneous state. Theoretical results for the granular temperature and kurtosis obtained in the homogeneous steady state are compared against Monte Carlo simulations. Then, the Chapman–Enskog expansion is performed up to first-order in spatial gradients, allowing the identification of Navier–Stokes transport coefficients under steady-state conditions.