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Exact, self-similar, time-dependent free surface flows under gravity

  • P. L. Sachdev (a1)
Abstract

A class of exact, self-similar, time-dependent solutions describing free surface flows under gravity is found which extends the self-propagating class of solutions discovered earlier by Freeman (1972) to those which decay with time.

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References
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Barenblatt, G. I. & Zel'dovich, Ya. B. 1971 Ruse. Math. Sum. 26, 4562.
Blythe, P. A., Kazakia, Y. & Varley, E. 1972 J. Fluid Mech. 56, 241255.
Burns, J. C. 1953 Proc. Camb. Phil. Soc. 49, 695706.
Freeman, N. C. 1972 J. Fluid Mech. 56, 257263.
Longuet-Higgins, M. S. 1972 J. Fluid Mech. 55, 529543.
Longuet-Higgins, M. S. 1976 J. Fluid Mech. 73, 603620.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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