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Mathematical modeling of a thin viscous layer adhering to an infinite plate withdrawn at an angle

  • Approximate Methods of Solution of Boundary-Value Problems of Mathematical Physics
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Abstract

We consider the problem of a thin viscous layer adhering to an inclined plate. Systems of boundary-layer equations and capillary-statics equations are used. The solutions of the two systems are “matched” at a certain point, which ensures a smooth profile of the free surface of the liquid.

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References

  1. B. V. Deryagin and S. M. Levi, Physical Chemistry of Application of Thin Layers to a Moving Substrate [in Russian], Moscow (1959).

  2. J. Dennis and R. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations [Russian translation], Moscow (1988).

  3. L. D. Landau, Collected Works [in Russian], Vol. 1, Moscow (1969).

  4. I. I. Lyashko, V. L. Makarov, and A. A. Skorobogat'ko, Computational Methods [in Russian], Kiev (1977).

  5. Ch. Gutfinger and J. A. Tallmadge, “Films of non-Newtonian fluids adhering to flat plates,” AICE J.11, No. 3, 403–411 (1965).

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Authors and Affiliations

  1. Kiev University, Ukraine

    A. Sh. Bakhtovarshoev & A. V. Kuz'min

Authors
  1. A. Sh. Bakhtovarshoev
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  2. A. V. Kuz'min
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 73, pp. 57–61, 1992.

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Bakhtovarshoev, A.S., Kuz'min, A.V. Mathematical modeling of a thin viscous layer adhering to an infinite plate withdrawn at an angle. J Math Sci 71, 2670–2673 (1994). https://doi.org/10.1007/BF02114043

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  • DOI: https://doi.org/10.1007/BF02114043

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