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References
Bretherton, F. P. 1961. The motion of long bubbles in tubes. J. Fluid Mech. 10, 166–188.
Chen, B. & Saffman, P. G. 1980. Steady gravity-capillary waves on deep water 2. Numerical results for finite amplitude. Studies in App. Math. 62, 95–112.
Cox, B. G. 1962. On driving a viscous fluid out of a tube. J. Fluid Mech. 14, 81–96.
Fairbrother, F. & Stubbs, A. E. 1935. The ‘bubble tube’ method of measurement. J. Chem. Soc. 1, 527–530.
Glimm, J., Marchesin, D. & McBryan, O. 1980. Statistical fluid dynamics: unstable fingers. Commun. Math. Phys. 74, 1–13.
Meng, J. C. S. & Thomson, J. A. L. 1978. Numerical studies of some nonlinear hydrodynamic problems by discrete vortex element methods. J. Fluid Mech. 84, 433–453.
Paterson, L. 1981. Radial fingering in a Hele-Shaw cell. J. Fluid Mech. (to appear).
Pitts, E. 1981. Penetration of fluid into a Hele-Shaw cell. J. Fluid Mech. 97, 53–64.
Saffman, P. G. 1959. Exact solutions for the growth of fingers from a flat interface between two fluids in a porous medium or Hele-Shaw cell. Qu. J. Mech. App. Math. 12, 146–150.
Saffman, P. G. 1963. The displacement of a viscous fluid from a porous medium. Proceedings 1963 Heat Transfer and Fluid Mechanics Institute p176–182. Stanford U. Press.
Saffman, P. G. 1969. A mathematical treatment of dispersion in flow through a branching tree. Proc. CIBA Symposium on Circulatory and Respiratory Mass Transport. (Ed. Wolstenholme & Knight). Churchill.
Saffman, P. G. & Taylor, G. I. 1958. The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid. Proc. Roy. Soc. Al245, 312–329.
Taylor, G. I. 1961. Deposition of a viscous fluid on the wall of a tube. J. Fluid Mech. 10, 161–165.
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© 1982 Springer-Verlag
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Saffman, P.G. (1982). Fingering in porous media. In: Burridge, R., Childress, S., Papanicolaou, G. (eds) Macroscopic Properties of Disordered Media. Lecture Notes in Physics, vol 154. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11202-2_15
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DOI: https://doi.org/10.1007/3-540-11202-2_15
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