The Laminar to Slug Flow Transition in Hele Shaw Flow
The Laminar to Slug Flow Transition in Hele Shaw Flow
James Glimm
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12) -cos^[(« + —)— ] 2 W (2n + l):: exp [-(2n + 1)7C/2W//] 28- ^ n \-exp{-Tix/2WH) References 1. H. B. Stewart and B. Wendroff, "Two-Phase Row: Models and Methods, " J. Comp. Phys. , vol. 56, pp. 363-409, 1984 . 2. Advances in Multiphase Flow and Related Problems, Ed. G. Papanicolaou, SIAM, Philadelphia, 1986. 3. C. Gardner, J. Glimm, O. McBryan, R. Menikoff, D. H. Sharp, and Q. Zhang, "The Dynamics of Bubble Growth for Rayleigh-Taylor Unstable Inter- faces, " Phys. Of Fluids, vol. 31, pp. 447-...465, 1988. 4. J. Glimm, E. Isaacson, D. Marchesin, and O. McBryan, "Front Tracking for Hyperbolic Sysicms, " Advances in Appl. Math. , vol. 2, pp. 91-1 19, 1981. 5. J. Glimm, X. L. Li, R. Menikoff, D. H. Sharp, and Q. Zhang, Statistical Theories of Rayleigh-Taylor Instability for Compressible Fluids, To appear. 6. D. G. Huh, T. D. Cochrane, and F. S. Kovarik, "The effect of microscopic heterogeneity on CO 2 I foam mobility. Part I - a mechanistic study, " SPE/DOE 17359, 1988. 7. K. I. Read, ' 'Experimental Investigation of Turbulent Mixing by Rayleigh- Taylor Instability, " Physica 12D, pp.
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