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.
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REFERENCES
M. A. Lavrent’ev “Model of the motion of fishes and snakes,” J. Appl. Mech. Tech. Phys., No. 2, 284–285 (1973).
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.
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.
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).
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.
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).
D. N. Popov, Nonstationary Hydromechanical Processes [in Russian], Mashinostroenie, Moscow (1982).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 5, pp. 106–115, September–October, 2005.
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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
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DOI: https://doi.org/10.1007/s10808-005-0127-0