The structure of the forces and moments which arise when a rigid body moves in an unbounded volume of an ideal incompressible fluid under the action of central Newtonian attractive forces is discussed, the equations of motion are written in explicit form, their first integrals are indicated and the
The motion of a cylindrical body in a stratified fluid under the action of a radiation force
โ Scribed by O.R. Kozyrev; S.N. Reznik; Yu.A. Stepanyants
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 314 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0021-8928
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
The dynamics of a deformable body in an unbounded volume of an ideal fluid, which performs irrotational motion and is at rest at infinity, is investigated. It is assumed that a change in the geometry of the masses and shape of the body occurs due to the action of internal forces and that the displac