Role of Korteweg stresses in geodynamics

Geophysical Research Letters

Volumn 35, Issue 7, 2008, Pages

  Morra, Gabriele ^a,b   Yuen, David A ^c  

^a ROMA TRE UNIVERSITY   (Italy)

^b ETH ZURICH   (Switzerland)

^c UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EARTH SCIENCES; GEOPHYSICS; MODELS; PHYSICAL PROPERTIES;

(PL) PROPERTIES; AMERICAN GEOPHYSICAL UNION; CONSTITUTIVE RELATIONSHIPS; DENSITY GRADIENTS; DIFFUSE INTERFACES; FLOW PROBLEMS; KORTEWEG STRESSES; MAGMA FRAGMENTATION; MANTLE CONVECTION; NUMERICAL EVIDENCE; STRESS TENSORS;

STRESSES;

CONSTITUTIVE EQUATION; EARTHQUAKE; FRAGMENTATION; GEODYNAMICS; GEOPHYSICS; MAGMA; MANTLE CONVECTION; MODELING; STRESS;

EID: 45549088595     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2007GL032860     Document Type: Article

References (28)

1. Alidibirov, M., and D. B. Dingwell (1996), Magma fragmentation by rapid decompression, Nature, 380, 146-149.
2. Anderson, D. M., G. B. McFadden, and A. A. Wheeler (1998), Diffuse-interface methods in fluid mechanics, Annu. Rev. Fluid Mech., 30, 139-165.
3. Brenner, H. (2005), Navier-Stokes revisited, Physica A, 349, 60-132.
4. Chen, C. Y., and E. Meiburg (1996), Miscible displacements in a capillary tube. Part 2. Numerical simulations, J. Fluid Mech., 326, 57-90.
5. Chen, C. Y, and E. Meiburg (2002), Miscible displacements in capillary tubes: Influence of Korteweg stresses and divergence effects, Phys. Fluids, 14, 2052-2058.
6. Chen, C. Y., C. H. Chen, and J. A. Miranda (2005), Numerical study of miscible fingering in a time-dependent gap Hele-Shaw cell, Phys. Rev. E, 71, 056304, doi:10.1103/PhysRevE.71.056304.
7. Chen, C. Y., C. H. Chen, and J. A. Miranda (2006), Numerical study of pattern formation in miscible rotating Hele-Shaw flows, Phys. Rev E, 73, 046306, doi: 10.1103/PhysRevE.73.046306.
8. Cicuta, P., A. Vailati, and M. Giglio (2000), Equilibrium and nonequilibrium fluctuations at the interface between two fluid phases, Phys. Rev. E, 62, 4920-4926.
9. Cicuta, P., A. Vailati, and M. Giglio (2001), Capillary-to-bulk crossover of nonequilibrium fluctuations in the free diffusion of a near-critical binary liquid mixture, Appl. Opt., 40, 4140-4145.
10. Crowhurst, J. C., J. M. Brown, A. F. Goncharoy, and S. D. Jacobsen (2008), Elasticity of (Mg, Fe) O through the spin transition of iron in the lower mantle, Science, 319, 451-453.
11. Griffiths, R. W. (1986), Thermals in extremely viscous fluids, including the effects of temperature-dependent viscosity, J. Fluid Mech., 166, 115-138.
12. Joseph, D. D. (1990), Fluid dynamics of two miscible liquids with slow diffusion and Korteweg stresses, Eur J Mech. B, 9, 565-596.
13. Joseph, D. D. (1996), Non-solenoidal velocity effects and Korteweg stresses in simple mixtures of incompressible liquids, Physica D, 97, 104-125.
14. Korteweg, D. J. (1901), Sur la forme que prennent les equations du mouvements des fluides si l'on tient compte des forces capillaires causees par des variations de densite considerables mais continues et sur la theorie de la capillarite dans l'hypothese d'une variation continue de la densite, Arch. Neerl. Sci. Exactes Nat., Ser II, 6, 1-24.
15. Morris, S. (1992), Stress relief during solid-state transformations in minerals, Proc. R. Soc. London, Ser. A, 436, 203-216.
16. Mungall, J. E. (1994), Interfacial tension in miscible two-fluid systems with linear viscoelastic rheology, Phys. Rev. Lett., 73, 288-291.
17. Murakami, M., K. Hirose, K. Kawamura, N. Sata, and Y. Ohishi (2004), Post-perovskite phase transition in MgSiO3, Science, 304, 855-858, doi:10.1126/science.1095932.
18. Olson, P., and H. Singer (1985), Creeping plumes, J. Fluid Mech., 158, 511-531.
19. Papale, P. (1999), Strain-induced magma fragmentation in explosive eruptions, Nature, 397, 425-428.
20. Petitjeans, P., and T. Maxworthy (1996), Miscible displacements in capillary tubes. Part 1. Experiments, J. Fluid Mech., 326, 37-56.
21. Pojman, J. A., C. Whitmore, M. L. TurcoLiveri, R. Lombardo, J. Marszalek, R. Parker, and B. Zoltowski (2006), Evidence for the existence of an effective interfacial tension between miscible fluids: Isobutyric acid-water and 1-butanol-water in a spinning-drop tensiometer, Langmuir 2006, 22, 2569-2577.
22. Ribe, N., A. Davaille, U. Christensen, (2007), Fluid dynamics of mantle plumes, in Mantle Plumes: A Multidisciplinary Approach, chap. 1, pp. 1-48, Springer, New York.
23. Richter, F. M. (1973), Finite amplitude convection through a phase boundary, Geophys. J. R. Astron. Soc., 35, 265-276.
24. Souriau, A., and G. Poupinet (1991), A study of the outermost liquid core using differential travel times of the SKS, SKKS and S3KS phases, Phys. Earth Planet. Inter, 68, 183-199.
25. Spieler, O., B. Kennedy, U. Kueppers, D. B. Dingwell, B. Scheu, and J. Taddeucci (2004), The fragmentation threshold of pyroclastic rocks, Earth Planet. Sci. Lett., 226, 139-148.
26. Vailati, A., and M. Giglio (1997), Giant fluctuations in a free diffusion process, Nature, 390, 262-265.
27. Zhang, Y, Z. Xu, M. Zhu, and H. Wang (2007), Silicate melt properties and volcanic eruptions, Rev. Geophys., 45, RG4004, doi:10.1029/ 2006RG000216.
28. Zoltowski, B., Y. Chekanov, J. Masere, J. A. Pojman, and V. Volpert (2007), Evidence for the existence of an effective interfacial tension between miscible fluids. 2. Dodecyl acrylate-poly (dodecyl acrylate) in a spinning drop tensiometer, Langmuir 2007, 23, 5522-5531.