Аннотация:
This paper addresses the problem of plane-parallel motion of the Zhukovskii foil in a viscous fluid. Various motion regimes of the foil are simulated on the basis of a joint numerical solution of the equations of body motion and the Navier – Stokes equations. According to the results of simulation of longitudinal, transverse and rotational motions, the average drag coefficients and added masses are calculated. The values of added masses agree with the results published previously and obtained within the framework of the model of an ideal fluid. It is shown that between the value of circulation determined from numerical experiments, and that determined according to the model of and ideal fluid, there is a correlation with the coefficient R=0.722R=0.722. Approximations for the lift force and the moment of the lift force are constructed depending on the translational and angular velocity of motion of the foil. The equations of motion of the Zhukovskii foil in a viscous fluid are written taking into account the found approximations and the drag coefficients. The calculation results based on the proposed mathematical model are in qualitative agreement with the results of joint numerical solution of the equations of body motion and the Navier – Stokes equations.
The work of V. A. Tenenev (Sections 2 and Conclusion ) was carried out within the framework of the state assignment given to the Izhevsk State Technical University 1.2405.2017/4.6. The work of E. V. Vetchanin (Introduction and Section 1) and I. S. Mamaev (Section 3) was supported by the Russian Foundation for Basic Research under grants Nos. 15-08-09093-a and 18-08-00995-a, respectively.
Поступила в редакцию: 19.10.2017 Принята в печать: 07.09.2018
Образец цитирования:
I. S. Mamaev, V. A. Tenenev, E. V. Vetchanin, “Dynamics of a Body with a Sharp Edge in a Viscous Fluid”, Нелинейная динам., 14:4 (2018), 473–494
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\paper Dynamics of a Body with a Sharp Edge in a Viscous Fluid
\jour Нелинейная динам.
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\vol 14
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\pages 473--494
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\crossref{https://doi.org/10.20537/nd180404}
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nd626
https://www.mathnet.ru/rus/nd/v14/i4/p473
Эта публикация цитируется в следующих 4 статьяx:
Yury L. Karavaev, Anton V. Klekovkin, Ivan S. Mamaev, Valentin A. Tenenev, Evgeny V. Vetchanin, “A Simple Physical Model for Control of a Propellerless Aquatic Robot”, Journal of Mechanisms and Robotics, 14:1 (2022)
Anton V. Klekovkin, Yury L. Karavaev, Ivan S. Mamaev, 2021 International Conference “Nonlinearity, Information and Robotics” (NIR), 2021, 1
A. V. Klekovkin, “Simulation of the motion of a propellerless mobile robot controlled by rotation of the internal rotor”, Vestn. Udmurt. Univ.-Mat. Mekh. Kompyuternye Nauk., 30:4 (2020), 645–656
Ivan S. Mamaev, Evgeny V. Vetchanin, “The Self-propulsion of a Foil with a Sharp Edge in a Viscous Fluid Under the Action of a Periodically Oscillating Rotor”, Regul. Chaotic Dyn., 23:7-8 (2018), 875–886
Цитирование в формате AMSBIB
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