TRANSPORT-PROPERTIES IN A BINARY MIXTURE UNDER SHEAR-FLOW

The Boltzmann equation for a binary mixture of Maxwell molecules under uniform shear how is exactly solved. The transport coefficients (shea r viscosity and viscometric functions) are nonlinear functions of the shear rate and the parameters of the mixture (particle masses, concent rations, and force constants). The results apply for conditions arbitr arily far from equilibrium. In the particular case of mechanically equ ivalent particles, the Ikenberry-Truesdell solution is recovered. In t he tracer limit previous results are reobtained and a transition to an alternative state is identified. In this alternative state, the trace r species has a finite contribution to the properties of the mixture.