We have learned how to describe the deformation and the motion of solid and
liquid medium with external forcing. The equation of motion of a single solid
object in liquid is also extensively studied. What if there are two, three, or
many particles moving together in a liquid medium? We will be largely looking at the behavior of a mixture of solid particles and viscous liquid. Upon loading, do the bulk flow like a liquid or sustain the force as a pile of rocks?

Three classes of solid-liquid two-phase flows, including granular flows, suspensions, and debris flows, will be studied during the term. Starting with a few well-known peculiar phenomenons in each flow, we will learn the characteristics of the bulk motion via existing models. Since such a heterogeneous system usually exhibits complicated dynamics, this introductory course aims to cover the essential mechanisms, the similar and distinctive characteristics of a solid-liquid flow.