  Steady simple shear flow of a low-density binary mixture of inelastic smooth
hard spheres is studied in the context of the Boltzmann equation. This equation
is solved by using two different and complementary approaches: a Sonine
polynomial expansion and the direct simulation Monte Carlo method. The
dependence of the shear and normal stresses as well as of the steady granular
temperature on both the dissipation and the parameters of the mixture (ratios
of masses, concentration, and sizes) is analyzed. In contrast to previous
studies, the theory predicts and the simulation confirms that the partial
temperatures of each species are different, even in the weak dissipation limit.
In addition, the simulation shows that the theory reproduces fairly well the
values of the shear stress and the phenomenon of normal stress differences. On
the other hand, here we are mainly interested in analyzing transport in the
homogeneous shear flow so that, the possible formation of particle clusters is
ignored in our description.
