A numerical model for steady-state temperature distributions in solid-medium high-pressure cell assemblies

American Mineralogist

Volumn 91, Issue 2-3, 2006, Pages 295-305

  Hernlund, John ^a,b   Leinenweber, Kurt ^a   Locke, Darren ^a,c   Tyburczy, James A ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c STONY BROOK UNIVERSITY   (United States)

Author keywords

High pressure; Multi anvil; Numerical modeling; Temperature; Thermal gradients

Indexed keywords

TEMPERATURE; TEMPERATURE DISTRIBUTION; THERMAL CONDUCTIVITY OF SOLIDS; THERMAL GRADIENTS; THERMOCOUPLES;

HIGH PRESSURE; HIGH-PRESSURE SOLIDS; LABORATORY EXPERIMENTS; MULTI ANVILS; TEMPERATURE CHARACTERISTIC; TEMPERATURE DEPENDENCE; TEMPERATURE UNCERTAINTIES; TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY;

NUMERICAL MODELS;

CHEMICAL COMPOSITION; DIFFUSION; EXPERIMENTAL MINERALOGY; HIGH PRESSURE; NUMERICAL MODEL; TEMPERATURE GRADIENT; THERMAL CONDUCTIVITY;

EID: 33745953436     PISSN: 0003004X     EISSN: None     Source Type: Journal    
DOI: 10.2138/am.2006.1938     Document Type: Article

References (26)

1. Bertka, C.M. and Fei, Y. (1997) Mineralogy of the Martian interior up to core-mantle boundary pressures. Journal of Geophysical Research, 102, 5251-5264.
2. Brandt, A. (1977) Multilevel adaptive solutions to boundary-value problems. Mathematics of Computation, 31, 333-390.
3. Carslaw, H.S. and Jaeger, J.C. (1959) Conduction of Heat in Solids. Oxford University Press.
4. 4 and NaCl at high pressures and temperatures. Journal of Geophysical Research, 73, 4727-4733.
5. 3 perovskite under lower mantle conditions. Geophysical Research Letters, 20, 387-390.
6. 4 for acoustic velocity measurements. Geophysical Research Letters, 17, 1331-1334.
7. Hampel, C. (1961) Rare Metals Handbook, p. 715. Reinhold Pub. Corp., New York.
8. Hofmeister, A.M. (1999) Mantle values of thermal conductivity and the geotherm from phonon lifetimes. Science, 283, 1699-1706.
9. Katsura, T. (1997) Thermal diffusivity of periclase at high temperatures and high pressures. Physics of the Earth and Planetary Interiors, 101, 73-77.
10. Kawai, N. and Endo, S. (1970) The generation of ultrahigh hydrostatic pressures by a split sphere apparatus. Review of Scientific Instruments, 41, 1178-1181.
11. Kingery, W.D. (1959) Thermal Conductivity. 14. Conductivity of Multicomponent Systems. Journal of the American Ceramic Society, 42, 617-627.
12. Kingery, W.D., Francl, J., Coble, R.L., and Vasilos, T. (1954) Thermal Conductivity: X, Data for Several Pure Oxide Materials Corrected to Zero Porosity. Journal of the American Ceramic Society, 37, 107-110.
13. Laubitz, M.J. and Venderme, Mp. (1966) Thermal conductivity of platinum between 300 and 1000 degrees K. Canadian Journal of Physics, 44, 3173-3184.
14. 6, a new perovskite structure type. Journal of Solid State Chemistry, 114, 277-281
15. 3, BeO, and MgO. American Ceramic Society Bulletin, 37, 91-95.
16. Oran, E.S. and Boris, J.P. (1987) Numerical Simulation of Reactive Flow. Elsevier, New York.
17. 4 spinel solid solutions. Earth and Planetary Science Letters, 1, 241-245.
18. 3, at temperatures from 298.15 K, Evaluation of the thermal conductivity. Journal of Chemical Thermodynamics, 27, 493-506.
19. Schilling, F. and Wunder, B. (2004) Temperature distribution in piston-cylinder assemblies: Numerical simulations and laboratory experiments. European Journal of Mineralogy, 16, 7-14.
20. Schmidt, M.W. and Ulmer, P. (2004) A rocking multi-anvil: Elimination of chemical segregation in fluid-saturated high-pressure experiments. Geochimica et Cosmochimica Acta, 68, 1889-1899.
21. Taylor, R., Gilchris, Ke, and Poston, L.J. (1968) Thermal conductivity of polycrystalline graphite. Carbon, 6, 537-544.
22. van Westrenen, W., Van Orman, J.A., Watson, H., Fei, Y., and Watson, E.B. (2003) Assessment of temperature gradients in multianvil assemblies using spinel layer growth kinetics. Geochemistry, Geophysics, Geosystems, 4, doi:10.1029/2002GC000474.
23. Walker, D., Carpenter, M.A., and Hitch, C.M. (1990) Some simplifications to multianvil devices for high pressure experiments. American Mineralogist, 75, 1020-1028.
24. Walter, M.J., Thibault, Y., Wei, K., and Lath, R.W. (1995) Characterizing experimental pressure and temperature conditions in multi-anvil apparatus. Canadian Journal of Physics, 73, 273-286.
25. Watson, E.B., Wark, D.A., Price, J.D., and Van Orman, J.A. (2002) Mapping the thermal structure of solid-media pressure assemblies. Contributions to Mineralogy and Petrology, 142, 640-652.
26. Yamazaki, D. and Karate, S.-I. (2001) High-pressure rotational deformation apparatus to 15 GPa. Review of Scientific Instruments, 72, 4207-4211.