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Starting from the Boltzmann-Enskog kinetic equations, the charge transportequation for bidisperse granular flows with contact electrification is derivedwith separate mean velocities, total kinetic energies, charges and chargevariances for each solid phase. To close locally-averaged transport equations,a Maxwellian distribution is presumed for both particle velocity and charge.The hydrodynamic equations for bidisperse solid mixtures are first revisitedand the resulting model consisting of the transport equations of mass,momentum, total kinetic energy, which is the sum of the granular temperatureand the trace of fluctuating kinetic tensor, and charge is then presented. Thecharge transfer between phases and the charge build-up within a phase aremodelled with local charge and effective work function differences betweenphases and the local electric field. The revisited hydrodynamic equations andthe derived charge transport equation with constitutive relations are assessedthrough hard-sphere simulations of three-dimensional spatially homogeneous,quasi-onedimensional spatially inhomogeneous bidisperse granular gases and athree-dimensional segregating bidisperse granular flow with conducting walls.

Charge Transport Equation for Bidisperse Collisional Granular Flows with Nonequipartitioned Fluctuating Kinetic Energy