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On propagation of linear waves in a cylindrical channel with a permeable wall

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Abstract

Problems on propagation of harmonic waves and of waves of finite duration in a cylindrical channel filled by a liquid or a gas and surrounded by a porous permeable space are considered. A wave equation describing the dynamics of small disturbances in a cylindrical channel with a permeable wall is obtained. Results of the analysis of wave evolution are presented for the cases of channel filling by a liquid and a gas.

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References

  1. N, E. Zhukovskii, "On hydraulic shock in water pipes," Byulleteni Politekhnicheskogo Obshchestva, No. 5, 255–290 (1899).

  2. L. Allievi, Teoria generale del moto perturbato dell’asqua nef tubi in pressione, Milan (1903). Translated into English by E. E. Halmos. The Theory of Waterhammer. Am. Soc. Civil English (1925).

  3. I. A. Charnyi, Unsteady Flow of Real Fluids in Pipes, Moscow (1975).

  4. J. A. Fox, Hydraulic Analysis of Unsteady Flow in Pipe Networks. London (1977).

  5. F. Barez, W. Goldsmith, and J. L. Sackman, Int. J. Mech., Vol. 21, 213–227 (1979).

    Article  Google Scholar 

  6. G. N. Barenblatt, V. M. Entov, and V. M.Ryzhik, Theory of Nonstationary Filtration of Liquid and Gas, Moscow (1972).

  7. G. N. Barenblatt, V. M. Entov, and V. M. Ryzhik, Fluid Motion in Natural Beds, Moscow (1984).

  8. B. M. Budak, A. A. Samarskii, and A. N. Tikhonov, Collection of Problems of Mathematical Physics, Moscow (1972).

  9. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics, Moscow (1972).

  10. V. A. Gaponov, Package of fast Fourier transform programs for simulation of random processes, Novosibirsk (1976). Preprint No. 14–76 of the Institute of Theoretical Physics of the Siberian Branch of the USSR Academy of Sciences.

  11. L. G. Yaroslavskii and I. S. Merzlyakov, Methods of Numerical Holography, Moscow (1977).

  12. H. J. Nussbaumer, Fast Fourier Transform and Convolution Algorithms. 2nd corrected and updated edition, Springer Series in Information Sciences, Springer-Verlag, Berlin-Wiedelberg (1981 and 1982).

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Authors and Affiliations

  1. Institute of Mechanics, Urals Scientific Center of the Russian Academy of Sciences, Ufa, Russia

    V. Sh. Shagapov & N. M. Khlestkina

Authors
  1. V. Sh. Shagapov
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  2. N. M. Khlestkina
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 70, No. 6, pp. 907–913, November–December, 1997.

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Shagapov, V.S., Khlestkina, N.M. On propagation of linear waves in a cylindrical channel with a permeable wall. J Eng Phys Thermophys 70, 865–872 (1997). https://doi.org/10.1007/s10891-997-0035-7

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  • DOI: https://doi.org/10.1007/s10891-997-0035-7

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