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Dynamics of a fluid sheet on a curved rigid wall with allowance for phase transformation on the free surface

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Abstract

The flow of a three-dimensional sheet on a curved wall is considered. Gravity and surface tension forces act on the sheet while a droplet stream falls on its free surface. The systems of equations of viscous incompressible fluid dynamics on a curved rigid surface and the boundary conditions with allowance for the falling droplet stream are formulated. The problems of steady axisymmetric motion of the sheet on cylindrical and conical surfaces are considered. The effect of the curvature of the rigid wall on the solution is examined.

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Authors
  1. Yu. A. Volchenko
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  2. I. I. Ievlev
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Additional information

Kharkov. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, pp. 42–50, July–August, 1994.

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Volchenko, Y.A., Ievlev, I.I. Dynamics of a fluid sheet on a curved rigid wall with allowance for phase transformation on the free surface. Fluid Dyn 29, 471–478 (1994). https://doi.org/10.1007/BF02319068

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  • DOI: https://doi.org/10.1007/BF02319068

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