The fate of particles in a volumetrically heated convective fluid at high Prandtl number

The dynamics of suspensions plays a crucial role on the evolution geophysical systems such as lava lakes, magma chambers and oceans. During their cooling solidification, these magmatic bodies involve convective viscous fluids dispersed solid crystals that can form either cumulate or floating lid by sedimentation. We study based internal heating convection experiments in high Prandtl bearing plastic beads. aim to determine conditions required produce sedimented deposit. show although sign particles buoyancy is key parameter, it not sufficient predict fate. To complement model we introduce Shields formalism couple with scaling laws describing convection. propose generalised number enables self-consistent description fate system, especially possibility segregate from bulk. provide quantification partition mass different potential reservoirs (bulk suspension, lid, settled cumulate) through reconciling suspension stability framework formalism. illustrate implications revisiting problem flotation crusts solidifying rocky bodies.