Spreading of axisymmetric non-Newtonian power-law gravity currents in porous media

Journal of Non-Newtonian Fluid Mechanics

Volumn 189-190, Issue , 2012, Pages 31-39

  Di Federico, V ^a   Archetti, R ^a   Longo, S ^b  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b UNIVERSITY OF PARMA   (Italy)

Author keywords

Axisymmetric; Gravity current; Ostwald de Waele; Porous; Similarity

Indexed keywords

AXISYMMETRIC; GRAVITY CURRENTS; OSTWALD-DE WAELE; POROUS; SIMILARITY;

DEGREES OF FREEDOM (MECHANICS); GRAVITATION; NON NEWTONIAN FLOW; POROUS MATERIALS;

GRAVITY WAVES;

EID: 84868312370     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2012.10.002     Document Type: Article

References (34)

1. Huppert H.E. The intrusion of fluid mechanics into geology. J. Fluid Mech. 1986, 173:557-598.
2. Huppert H.E. Gravity currents: a personal perspective. J. Fluid Mech. 2006, 554:299-322.
3. Simpson J.E. Gravity currents in the laboratory, atmosphere, and ocean. Ann. Rev. Fl. Mech. 1982, 14:213-234.
4. Simpson J.E. Gravity Currents: In the Environment and the Laboratory 1997, Cambridge University Press, Cambridge. second ed.
5. Ungarish M. An Introduction to Gravity Currents and Intrusions 2010, CRC Press, Boca Raton.
6. Huppert H.E., Woods A.W. Gravity-driven flows in porous layers. J. Fluid Mech. 1995, 292:55-69.
7. Lyle S., Huppert H.E., Hallworth M., Bickle M., Chadwick A. Axisymmetric gravity currents in a porous medium. J. Fluid Mech. 2005, 543:293-302.
8. Pritchard D., Woods A.W., Hogg A.J. On the slow draining of a gravity current moving through a layered permeable medium. J. Fluid Mech. 2001, 444:23-47.
9. Vella D., Huppert H.E. Gravity currents in a porous medium at an inclined plane. J. Fluid Mech. 2006, 555:353-362.
10. Golding M.J., Huppert H.E. The effect of confining impermeable boundaries on gravity currents in a porous medium. J. Fluid Mech. 2010, 649:1-17.
11. Di Federico V., Archetti R., Longo S. Similarity solutions for spreading of a two-dimensional non-Newtonian gravity current in a porous layer. J. Non-Newton. Fluid Mech. 2012, 177-178:46-53. 10.1016/j.jnnfm.2012.04.003.
12. Di Federico V., Ciriello V. Generalized Solution for 1-D non-Newtonian flow in a porous domain due to an instantaneous mass injection. Transp. Por. Med. 2012, 93:63-77. 10.1007/s11242-012-9944-9.
13. Ciriello V., Di Federico V. Similarity solutions for flow of non-Newtonian fluids in porous media revisited under parameter uncertainty. Adv. Wat. Res. 2012, 43:38-51. 10.1016/j.advwatres.2012.03.028.
14. Baroud G., Crookshank M., Bonner M. High-viscosity cement significantly enhances uniformity of cement filling in vertebroplasty: an experimental model and study on cement leakage. SPINE 2006, 31(22):2562-2568.
15. Ateshian G.A. The role of interstitial fluid pressurization in articular cartilage lubrication. J. Biomech. 2009, 42(9):1163-1176.
16. Pascal J.P., Pascal H. Similarity solutions to gravity flows of non-Newtonian fluids through porous media. Int. J. Non-Linear Mech. 1993, 28(2):157-167.
17. Bataller R.C. On unsteady gravity flows of a power-law fluid through a porous medium. Appl. Math. Comput. 2008, 196:356-362.
18. Di Federico V., Pinelli M., Ugarelli R. Estimates of effective permeability for non-Newtonian fluid flow in randomly heterogeneous porous media. Stoch. Environ. Res. Risk Assess. 2010, 24(7):1067-1076. 10.1007/s00477-010-0397-9.
19. Shenoy A.V. Non-Newtonian fluid heat transfer in porous media. Adv. Heat Trans. 1995, 24:102-190.
20. Sochi T. Newtonian flow in porous media. Polymer 2010, 51:5007-5023.
21. Wang S., Huang Y., Civan F. Experimental and theoretical investigation of the Zaoyuan field heavy oil flow through porous media. J. Pet. Sci. Eng. 2006, 50:83-101.
22. Wu Y.-S., Pruess K. Flow of non-Newtonian fluids in porous media. Adv. Por. Med. 1996, 3:87-184.
23. Ghannam M.T., Shadi W., Hasan S.W., Abu-Jdayil B., Esmail N. Rheological properties of heavy & light crude oil mixtures for improving flowability. J. Petrol. Sci. Eng. 2012, 81:122-128.
24. Bird R.B., Stewart W.E., Lightfoot E.N. Transport Phenomena 1960, Wiley.
25. Cristopher R.H., Middleman S. Power-law flow through a packed tube. Ind. Eng. Chem. Fundam. 1965, 4(4):422-427.
26. Fadili A., Tardy P.M.J., Pearson A. A 3D filtration law for power-law fluids in heterogeneous porous media. J. Non-Newton. Fluid Mech. 2002, 106:121-146.
27. Orgéas L., Idrisa Z., Geindreaua C., Blochb J.F., Auriault J.L. Modelling the flow of power-law fluids through anisotropic porous media at low-pore Reynolds number. Chem. Eng. Sci. 2006, 61:4490-4502.
28. Vajravelu K., Sreenadh S., Viswanatha Reddy G. Helical flow of a power-law fluid in a thin annulus with permeable walls. Int. J. Non-Linear Mech. 2006, 41:761-765.
29. Yilmaz N., Bakhtiyarov A.S., Ibragimov R.N. Experimental investigation of Newtonian and non-Newtonian fluid flows in porous media. Mech. Res. Commun. 2009, 36(5):638-641.
30. Huppert H.E. The propagation of two-dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface. J. Fluid Mech. 1982, 121:43-58.
31. Barenblatt G.I., Entov V.M., Ryzhik V.M. Theory of Fluid Flows Through Natural Rocks 1990, Kluwer Academic Publishers, Dordrecht.
32. E.B. Dussan V, F.M. Auzerais, Buoyancy-induced flow in porous media generated near a drilled oil well. Part 1. The accumulation of filtrate at an horizontal impermeable boundary, J. Fluid Mech. 254 (1993) 283-311.
33. Di Federico V., Cintoli S., Malavasi S. Viscous spreading of non-Newtonian gravity currents on a plane. Meccanica 2006, 41(2):207-217.
34. Li L., Lockington D.A., Parlange M.B., Stagnitti F., Jeng D.S., Selker J.S., Telyakovskiy A.S., Barry D.A., Parlange J.Y. Similarity solution of axisymmetric flow in porous media. Adv. Wat. Res. 2005, 28:1076-1082.