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On the correct writing of the law of conservation of amount of substance at the moving fluid-fluid interface

  • Gases and Liquids
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Abstract

The reasons for the erroneous writing of the substance conservation law at the moving fluid-fluid interface, which is commonly encountered in related publications, are analyzed. A mathematical statement of this law that is valid for any curved surface that has a nonzero curvature in its equilibrium state is derived in terms of vector analysis. The new writing is independent of the coordinates and can be used for analysis of relaxation phenomena associated with nonlinear wave motions.

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Authors and Affiliations

  1. Demidov State University, Sovetskaya ul. 14, Yaroslavl, 150000, Russia

    D. F. Belonozhko & A. I. Grigor’ev

Authors
  1. D. F. Belonozhko
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  2. A. I. Grigor’ev
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__________

Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 74, No. 11, 2004, pp. 22–28.

Original Russian Text Copyright © 2004 by Belonozhko, Grigor’ev.

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Belonozhko, D.F., Grigor’ev, A.I. On the correct writing of the law of conservation of amount of substance at the moving fluid-fluid interface. Tech. Phys. 49, 1415–1421 (2004). https://doi.org/10.1134/1.1826184

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  • DOI: https://doi.org/10.1134/1.1826184

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