MELT PRODUCTIVITY AND RHEOLOGY: COMPLEMENTARY INFLUENCES ON THE PROGRESS OF MELTING
- 1 March 1997
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part A: Applications
- Vol. 31 (4) , 375-392
- https://doi.org/10.1080/10407789708914043
Abstract
The binary-eutectic model of phase change limits the application of continuum-mixture simulations to particular systems. We present a phase-change model that allows systems with more complex phase relations to be addressed. The model includes multiple invariant points, which yield a nonlinear production of melt as a function of temperature. A constitutive relation based on the hybrid model for viscosity and permeability is used to account for transport behavior as a function of the local melt fraction. Results are reported of two series of simulations, one utilizing the new two-invariant-point model and the other using a one-invariant-point model The comparison demonstrates that the efficiency of convective heat transport can be increased by over 200% in the two-invariant-point case. The total kinetic energy for the two-invariant-point system is typically 2 orders of magnitude greater. This comparison highlights the important link between melt productivity and the constitutive relations and illustrates the necessity of accurately modeling the variation of melt fraction with temperature in partially molten systems.Keywords
This publication has 19 references indexed in Scilit:
- A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems—I. Model formulationPublished by Elsevier ,2003
- An experimental deformation study of partially molten amphibolite: Application to low‐melt fraction segregationJournal of Geophysical Research, 1995
- Experimental deformation of partially molten Westerly granite under fluid‐absent conditions, with implications for the extraction of granitic magmasJournal of Geophysical Research, 1995
- Mathematical Modeling of Transport Phenomena During Alloy SolidificationApplied Mechanics Reviews, 1993
- HYBRID MODEL FOR SOLIDIFICATION AND CONVECTIONNumerical Heat Transfer, Part B: Fundamentals, 1992
- ON THE NUMERICAL SOLUTION OF CONTINUUM MIXTURE MODEL EQUATIONS DESCRIBING BINARY SOLID-LIQUID PHASE CHANGENumerical Heat Transfer, Part B: Fundamentals, 1989
- Experimental determination of the fluid-absent melting relations in the pelitic systemContributions to Mineralogy and Petrology, 1988
- A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems—II. Application to solidification in a rectangular cavityInternational Journal of Heat and Mass Transfer, 1987
- On the crystallinity, probability of occurrence, and rheology of lava and magmaContributions to Mineralogy and Petrology, 1981
- Viscosities of magmatic silicate liquids; an empirical method of predictionAmerican Journal of Science, 1972