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Self-consistent approach to the problem of nonlinear waves on the surface of a vertically flowing film

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Abstract

An unsteady nonlinear equation, more accurate than those derived in previous studies, is obtained for the process of wave formation on the surface of a vertically flowine film. Perturbation theory is used to investigate the solutions of this equation. The wave cnaracteristics ot the steady-state flow regime are calculated.

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 68–75, July–August, 1986.

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Krasnyi, Y.P., Mikho, V.V. Self-consistent approach to the problem of nonlinear waves on the surface of a vertically flowing film. Fluid Dyn 21, 564–570 (1986). https://doi.org/10.1007/BF01057141

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Keywords

  • Perturbation Theory
  • Nonlinear Equation
  • Flow Regime
  • Nonlinear Wave
  • Wave Formation