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Flows with boundary layers in unbounded regions

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Abstract

Flows with Marangoni boundary layers having differently directed velocities of the external flow and the tangent stress at the free boundary are considered. The conditions of occurrence of counterflows are studied. An analog of the system of Prandtl equations near the contact point of three phases is obtained. Examples of the solutions are given.

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References

  1. L. G. Napolitano, “Marangoni boundary layers,” in:Proc. 3rd Europ. Symp. on Material Sci. in Space, Grenoble (1979), 349–358.

  2. L. G. Napolitano and G. Golia, “Coupled Marangoni boundary layers,”Acta Astronaut.,8, Nos. 5/6, 417–434 (1981).

    Article  MATH  Google Scholar 

  3. V. A. Batishchev, V. V. Kuznetsov, and V. V. Pukhnachov, “Marangoni boundary layers,”Prog. Aerospace Sci.,26, 353–370 (1989).

    Article  MATH  ADS  Google Scholar 

  4. V. V. Kuznetsov, “The existence of a boundary layer near a free surface,” in:Dynamics of Continuous Media (collected scientific papers) [in Russian], Novosibirsk,67, (1984), pp. 68–75.

  5. N. E. Kochin, I. A. Kibel’ and N. V. Rose,Theoretical Hydromechanics [in Russian], Part 2, Gostekhteorizdat, Moscow (1948).

    MATH  Google Scholar 

  6. F. Hartman,Ordinary Differential Equations, John Wiley and Sons, New York-London-Sydney (1964).

    Google Scholar 

  7. C. A. J. Fletcher,Computational Techniques for Fluid Dynamics [Russian translation], Vol. 1, Mir, Moscow (1991).

    MATH  Google Scholar 

  8. T. D. Dzhuraev, “The system of equations of boundary-layer theory for a steady-state flow of an incompressible fluid,”Differ. Uravn.,4, No. 11, 2068–2083 (1968).

    MATH  Google Scholar 

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Authors
  1. V. V. Kuznetsov
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Additional information

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 4, pp. 69–80, July–August, 1999.

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Kuznetsov, V.V. Flows with boundary layers in unbounded regions. J Appl Mech Tech Phys 40, 611–621 (1999). https://doi.org/10.1007/BF02468435

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  • DOI: https://doi.org/10.1007/BF02468435

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