Strong and weak blow up of the viscous dissipation rates for concentrated suspensions

@inproceedings{BerlyandStrongAW,
title={Strong and weak blow up of the viscous dissipation rates for concentrated suspensions},
author={Leonid Berlyand and Alexander A Panchenko}
}

We study the overall dissipation rate of highly concentrated noncolloidal suspensions of rigid neutrally buoyant particles in a Newtonian fluid. This suspension is confined to a finite size container, subject to shear or extensional boundary conditions at the walls of the container. The corresponding dissipation rates determine the effective shear viscosity μ and the extensional effective viscosity λ. We use recently developed discrete network approximation techniques to obtain discrete forms… CONTINUE READING