Bubble suspension rheology and implications for conduit flow
By E. Llewellin, Michael Manga. 2005
260 citations recorded by the source corpus.
Bubbles are ubiquitous in magma during eruption and influence the rheology of the suspension. Despite this, bubble-suspension rheology is routinely ignored in conduit-flow and eruption models, potentially impairing accuracy and resulting in the loss of important phenomenological richness. The omission is due, in part, to a historical confusion in the literature concerning the effect of bubbles on the rheology of a liquid. This confusion has now been largely resolved and recently published studies have identified two viscous regimes: in regime 1, the viscosity of the two-phase (magma–gas) suspension increases as gas volume fraction ϕ increases; in regime 2, the viscosity of the suspension decreases as ϕ increases. The viscous regime for a deforming bubble suspension can be determined by calculating two dimensionless numbers, the capillary number Ca and the dynamic capillary number Cd. We provide a didactic explanation of how to include the effect of bubble-suspension rheology in continuum, conduit-flow models. Bubble-suspension rheology is reviewed and a practical rheological model is presented, followed by an algorithmic, step-by-step guide to including the rheological model in conduit-flow models. Preliminary results from conduit-flow models which have implemented the model presented are discussed and it is concluded that the effect of bubbles on magma rheology may be important in nature and results in a decrease of at least 800 m in calculated fragmentation-depth and an increase of between 40% and 250% in calculated eruption-rate compared with the assumption of Newtonian rheology.
Subfields: Geophysics, Materials Chemistry, Ocean Engineering
View Paper: https://www.semanticscholar.org/paper/974ea1d3cb3a7a58d019945f593e0bcfada41d00
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In Materials Chemistry
Citations in the corpus
- The rheology of two-phase magmas: A review and analysis (2013, background): “…that will be generated during the flow, and ultimately the distance attained before magma finally comes to rest (e.g. Lautze and Houghton, 2005; Llewellin and Manga, 2005; Melnik and Sparks, 2005; Rowland et al., 2005; Carrichi et al., 2007; Gonnermann and Manga, 2007; Hale and Wadge, 2008; de…”
- Frictional drag reduction by bubble injection (2014, unknown): “For a dispersed bubble system, Llewellin and Manga (2005) proposed introducing the dynamic capillary number to describe the ratio of elastic to viscous contributions to the local shear stress.”