A local version of Einstein's formula for the effective viscosity of suspensions

Barbara Niethammer, Richard Schubert

We prove a local variant of Einstein's formula for the effective viscosity of dilute suspensions, that is ${\mu }^{\prime }=\mu (1+\frac{5}{2}\varphi +o(\varphi ))$, where $\varphi$ is the volume fraction of the s…