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Nonlinear model of a pipeline in a gravity field with an ideal fluid moving through it

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

A nonlinear model describing the movement of a pipeline with fluid moving through it and allowing consideration of a number of applications that do not have solutions within the linear model is proposed. The problem of equilibrium of a pipe with fluid moving through it in the gravity field is solved. An exact solution for the simplified non-stationary model equation is constructed.

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References

  1. O. P. Tkachenko, “Movement of an Underground Pipeline with Regard to Finiteness of Its Displacements,” Vychisl. Tekhnol. 6,Part 2 (Special issue), 628–631 (2001).

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  2. M. V. Pchelintsev and N. A. Skorkin, “The Geometric Meaning of the Newton Method,” Vestn. Yuzh.-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 1(22), 4–11 (2009).

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Authors and Affiliations

  1. Center of Environmental and Technogenic Monitoring, Treekhgornyi, 456080, Russia

    V. V. Bashurov & A. I. Kropotov

  2. Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Ekaterinburg, 620219, Russia

    N. A. Vaganova & M. Yu. Filimonov

  3. Snezhinsk Physics and Technology Institute (Branch of the National Nuclear Research Nuclear University MEPhI), Snezhinsk, 456770, Russia

    M. V. Pchelintsev & N. A. Skorkin

Authors
  1. V. V. Bashurov
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  2. N. A. Vaganova
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  3. A. I. Kropotov
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  4. M. V. Pchelintsev
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  5. N. A. Skorkin
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  6. M. Yu. Filimonov
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Corresponding author

Correspondence to V. V. Bashurov.

Additional information

Original Russian Text © V.V. Bashurov, N.A. Vaganova, A.I. Kropotov, M.V. Pchelintsev, N.A. Skorkin, M.Yu. Filimonov.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 53, No. 1, pp. 51–57, January–February, 2012.

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Bashurov, V.V., Vaganova, N.A., Kropotov, A.I. et al. Nonlinear model of a pipeline in a gravity field with an ideal fluid moving through it. J Appl Mech Tech Phy 53, 43–48 (2012). https://doi.org/10.1134/S0021894412010063

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  • DOI: https://doi.org/10.1134/S0021894412010063

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