Viscosity of high crystal content melts: Dependence on solid fraction
By Antonio Costa. 2005
220 citations recorded by the source corpus.
The rheological properties of suspensions containing high solid fractions are investigated. Attention is focused on viscosity of silicate and magmatic melt systems. A general empirical equation which describes the relative viscosity of suspensions as a function of suspended solid fraction is proposed. In the limit of very dilute solid concentrations it reduces to the Einstein equation. The proposed relationship is satisfactorily applied to reproduce available experimental data relative to silicate melts. Moreover, the extrapolation of the model to very high concentrations is compared with experimental observations on partially‐melted granite.
Subfields: Fluid Flow and Transfer Processes, Materials Chemistry, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/9aaaf1fd7022dc25d773fe17febd84bbc2338f46
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Citations in the corpus
- Melt Segregation in Deep Crustal Hot Zones: a Mechanism for Chemical Differentiation, Crustal Assimilation and the Formation of Evolved Magmas (2012, background): “The value of the SLT or CMF is uncertain and depends on several factors, such the crystal shape and size distribution, and the applied strain rate (Barnes, 1999; Petford, 2003; Costa, 2005; Rosenberg & Handy, 2005; Costa et al., 2009).”
- The rheology of two-phase magmas: A review and analysis (2013, unknown): “An attempt to encapsulate viscosity across the full range 0 ≤ ϕ ≤ 1 has been presented by Costa (2005), modified in Costa et al. (2009) ηr ϕ ;α; δ; ξ ¼ 1þ ϕ ϕ δ 1−F ϕ ϕ ; ξ;γ Bϕ ð13Þ where F ¼ 1−ξð Þerf ffiffiffi π p 2 1−ξð Þ ϕ ϕ 1þ ϕ α ϕ α !"”