Theory of creeping gravity currents of a non-Newtonian liquid

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 6, 1999, Pages 6960-6967

  Gratton, Julio ^a   Minotti, Fernando ^a   Mahajan, Swadesh M ^b  

^a Facultad de Ciencias Naturales e Instituto M Lillo   (Argentina)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0038086420     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.6960     Document Type: Article

References (29)

1. J. E. Simpson, Annu. Rev. Fluid Mech. 14, 341 (1982).
2. H. E. Huppert, J. Fluid Mech. 173, 557 (1986).
3. J. A. Diez, R. Gratton, and J. Gratton, Phys. Fluids A 4, 1148 (1992).
4. J. Gratton, E. Rossello, and J. Diez, Mon. Ac. Nac. Ciencias Exactas Fs. y Nat. 8, 51 (1992).
5. B. Marino, L. Thomas, R. Gratton, J. Diez, S. Betel, and J. Gratton, Phys. Rev. E 54, 2628 (1996).
6. J. Diez, L. P. Thomas, S. Betelú, R. Gratton, B. Marino, J. Gratton, D. G. Aronson, and S. B. Angenent, Phys. Rev. E 58, 6182 (1998).
7. H. E. Huppert, J. Fluid Mech. 121, 43 (1982).
8. J. Gratton and F. Minotti, J. Fluid Mech. 210, 155 (1990).
9. J. A. Diez, J. Gratton, and F. Minotti, Q. Appl. Math. L3, 401 (1992).
10. J. Gratton and C. Vigo, European J. Appl. Math. 9, 327 (1998).
11. J. Buckmaster, J. Fluid Mech. 81, 735 (1977).
12. B. Vendeville, P. R. Cobbold, P. Davy, P. Choukroune, and J. P. Brun, in Physical Models of Extensional Tectonics at Various Scales. Continental Extensional Tectonics, edited by M. P. Coward, J. F. Dewey, and P. L. Hannock (Geological Society of London, London, 1987), Special Publication No. 28, pp. 95–108.
13. J. Gratton, in Evolutionary Phenomena in the Universe, edited by P. Giannone, F. Melchiorri, and F. Occhionero, Conf. Proc. No. 32 (Societá Italiana di Fisica, Bologna, Italy, 1991), pp. 337–350.
14. L. P. Thomas, B. Marino, J. A. Diez, and R. Gratton, Medida de la viscosidad de fluidos muy viscosos a partir de derrames sobre superficies planas (Universidad Nacional del Centro de la Prov. de Buenos Aires, Tandil, Argentina, 1992);copies can be requested from L. P. Thomas, Inst. Fis. Arroyo Seco, Universidad Nac. del Centro de la Prov. de Buenos Aires, Pinto 399, 7000 Tandil, Argentina.
15. S. H. Kirby and A. K. Kronemberg, Rev. Geophys. 25, 1219 (1987).
16. J. Gratton, J. Geophys. Res. 94, 15 627 (1989).
17. R. B. Byrd, Annu. Rev. Fluid Mech. 8, 13 (1976).
18. H. A. Barnes, J. F. Hutton, and K. Walters, An Introduction to Rheology (Elsevier, Amsterdam, 1989), p. 19.
19. L. J Sonder and P. England, Earth Planet. Sci. Lett. 77, 81 (1986).
20. D. G. Aronson, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 19, 299 (1970).
21. B. F. Knerr, Trans. Am. Math. Soc. 234, 381 (1977).
22. A. A. Lacey, J. R. Ockendon, and A. B. Tayler, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 42, 1252 (1982).
23. W. L. Kath and D. S. Cohen, Stud. Appl. Math. 67, 79 (1982).
24. R. Seshadry and T. Y. Na, Group Invariance in Engineering Boundary Value Problems (Springer-Verlag, New York, 1985), pp. 126ff.
25. J. A. Diez, R. Gratton, and J. Gratton, Anales AFA 1, 161 (1989).
26. J. A. Diez and R. Gratton, Anales AFA 2, 171 (1990).
27. L. I. Sedov, Similarity and Dimensional Methods in Mechanics (Academic Press, New York, 1959), pp. 146ff.
28. R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves (Interscience, New York, 1948).
29. S. Betelú, R. Gratton, and J. Diez, J. Fluid Mech. 377, 137 (1998).