Projects per year
We develop a model for the rheology of a three-phase suspension of bubbles and particles in a Newtonian liquid undergoing steady flow. We adopt an 'effective-medium' approach in which the bubbly liquid is treated as a continuous medium which suspends the particles. The resulting three-phase model combines separate two-phase models for bubble suspension rheology and particle suspension rheology, which are taken from the literature. The model is validated against new experimental data for three-phase suspensions of bubbles and spherical particles, collected in the low bubble capillary number regime. Good agreement is found across the experimental range of particle volume fraction (0 ≤ φp ≲ 0.5) and bubble volume fraction (0 ≤ φb ≲ 0.3). Consistent with model predictions, experimental results demonstrate that adding bubbles to a dilute particle suspension at low capillarity increases its viscosity, while adding bubbles to a concentrated particle suspension decreases its viscosity. The model accounts for particle anisometry and is easily extended to account for variable capillarity, but has not been experimentally validated for these cases.
|Number of pages||18|
|Journal||Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences|
|Early online date||27 Nov 2014|
|Publication status||Published - Jan 2015|
- particle suspension
- bubble suspension
- analogue experiments
- three phase
- NORMAL STRESSES
The flow dynamics of three-phase magmas: the coupling of rheology and permeability via bubble-particle interactions (Sebastian Mueller, NERC Fellowship)
Mueller, S. P.
1/01/10 → 1/09/11