Kozyrev, O. R. and Reznik, S. N. and Stepanyants, Yu. A. ORCID: https://orcid.org/0000-0003-4546-0310
(2009)
*The motion of a cylindrical body in a stratified fluid under the action of a radiation force.*
Journal of Applied Mathematics and Mechanics, 73 (2).
pp. 188-195.
ISSN 0021-8928

## Abstract

The free motion of a thin cylindrical body is investigated based on a previously derived expression for the radiation force acting on moving point sources in a stratified fluid. The fundamental equations of motion are derived, the limits of applicability of the approximation used are indicated and the results of calculations of typical trajectories of a body which begins to move with a specified velocity from a position of neutral buoyancy at an angle to the horizon are presented. Calculations of the trajectory of motion of a thin cylindrical body in a stratified fluid when the total radiation force is taken into account show that the effect of the lateral component of this force is considerable and leads not only to quantitative corrections but also to qualitative effects (for example, to an increase in the oscillations of the body and a change in its direction of motion). The results obtained pertain both to the motion of solids in fluids and to the translational motion of vortex dipoles in weakly stratified media.

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Item Type: | Article (Commonwealth Reporting Category C) |
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Refereed: | Yes |

Item Status: | Live Archive |

Additional Information: | Files associated with this item cannot be displayed due to copyright restrictions. |

Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013) |

Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013) |

Date Deposited: | 22 Nov 2009 12:01 |

Last Modified: | 15 Feb 2021 23:33 |

Uncontrolled Keywords: | cylindrical bodies; direction of motion; free motion; fundamental equations; moving point source; neutral buoyancy; quantitative corrections; radiation forces; stratified fluid; stratified media; translational motions |

Fields of Research (2008): | 01 Mathematical Sciences > 0105 Mathematical Physics > 010503 Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics 03 Chemical Sciences > 0307 Theoretical and Computational Chemistry > 030702 Radiation and Matter |

Fields of Research (2020): | 49 MATHEMATICAL SCIENCES > 4902 Mathematical physics > 490203 Mathematical aspects of classical mechanics, quantum mechanics and quantum information theory 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401207 Fundamental and theoretical fluid dynamics 34 CHEMICAL SCIENCES > 3407 Theoretical and computational chemistry > 340702 Radiation and matter |

Socio-Economic Objectives (2008): | E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences |

Identification Number or DOI: | https://doi.org/10.1016/j.jappmathmech.2009.04.008 |

URI: | http://eprints.usq.edu.au/id/eprint/5728 |

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