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Abstract:
When a rising bubble in a Newtonian liquid reaches the liquid–air interface, it can burst,
leading to the formation of capillary waves and a jet on the surface. Here, we numerically
study this phenomenon in a yield-stress fluid. We show how viscoplasticity controls the
fate of these capillary waves and their interaction at the bottom of the cavity. Unlike
Newtonian liquids, the free surface converges to a non-flat final equilibrium shape once
the driving stresses inside the pool fall below the yield stress. Details of the dynamics,
including flow energy budgets, are discussed. The work culminates in a regime map with
four main regimes, all with different characteristic behaviours.