Skip to main content
Log in

Reptation Motion of Animals in a Fluid

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The plane problem of reptation motion of a biological object in a viscous fluid is solved analytically in a long-wave approximation. The motion if laminar. Computational expressions and asymptotic estimates are obtained for the axial and shear forces, expended energy, and motion trajectory. Results of a numerical analysis of the solution are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. M. A. Lavrent’ev “Model of the motion of fishes and snakes,” J. Appl. Mech. Tech. Phys., No. 2, 284–285 (1973).

  2. V. M. Kuznetsov, B. A. Lugovtsov, and E. N. Sher, “On the mechanism of motion of fishes and water snakes,” in: Dynamics of Continuous Media (collected scientific papers) [in Russian], No. 2, Inst. of Hydrodynamics, Sib. Div., Russian Acad. of Sci., Novosibirsk (1969), pp. 207–233.

    Google Scholar 

  3. E. N. Sher, “On the mechanism of motion of water snakes and fishes,” in: Some Problems of Mathematics and Mechanics [in Russian], Nauka, Leningrad (1970), pp. 267–276.

    Google Scholar 

  4. V. M. Shapovalov and S. V. Lapshina, “Motion of a rod in a viscous flow,” J. Appl. Mech. Tech. Phys., 44, No.2, 198–203 (2003).

    Article  Google Scholar 

  5. V. M. Shapovalov and S. V. Lapshina, “Dynamic equations of a bent rod in a viscous fluid flow,” in: Proc. XXXII Ural Workshop, Ural. Otd. Ross. Akad. Nauk, Ekaterinburg (2002), pp. 119–122.

    Google Scholar 

  6. V. M. Shapovalov and S. V. Lapshina, “Spatial motion of a rod in a viscous fluid flow,” J. Appl. Mech. Tech. Phys., 45, No.1, 45–53 (2004).

    Article  Google Scholar 

  7. D. N. Popov, Nonstationary Hydromechanical Processes [in Russian], Mashinostroenie, Moscow (1982).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 5, pp. 106–115, September–October, 2005.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shapovalov, V.M. Reptation Motion of Animals in a Fluid. J Appl Mech Tech Phys 46, 702–710 (2005). https://doi.org/10.1007/s10808-005-0127-0

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10808-005-0127-0

Key words

Navigation