A viscoplastic slump on a horizontally oscillating plate

Abstract

A thin, two-dimensional deposit of viscoplastic fluid is studied as it slumps atop a horizontal plate exhibiting in-plane oscillations. Numerical results are reported for a range of Bingham and oscillatory Reynolds numbers, and comparison is made with asymptotic results obtained for low oscillatory Reynolds numbers. When inertia is small, these flows become arrested as time $t\rightarrow \infty$ , and approach a symmetric state where the maximum basal stress in a period of oscillation balances with the yield stress. An exact expr..