1.
Artemova E. M., Lagunov D. A., Vetchanin E. V.
The Motion of an Elliptic Foil in the Field of a Fixed Vortex Source
Rus. J. Nonlin. Dyn.,
2024
Abstract
pdf (656.91 Kb)
This paper is concerned with the motion of an elliptic foil in the field of a fixed point
singularity. A complex potential of the fluid flow is constructed, and the forces and the torque
which act on the foil from the fluid are obtained. It is shown that the equations of motion
of the elliptic foil in the field of a fixed point vortex source can be represented as Lagrange –
Euler equations. It is also shown that the system has an additional first integral due to the
conservation of the angular momentum. An effective potential of the system under consideration
is constructed. For the cases where the singularity is a vortex or a source, unstable relative
equilibrium points corresponding to the circular motion of the foil around the singularity are
found.
| Keywords: |
ideal fluid, elliptic foil, point vortex, point source, Lagrangian form, Hamiltonian form |
| Citation: |
Artemova E. M., Lagunov D. A., Vetchanin E. V., The Motion of an Elliptic Foil in the Field of a Fixed Vortex Source, Rus. J. Nonlin. Dyn., 2024, https://doi.org/10.20537/nd241203
|
| DOI: |
10.20537/nd241203 |
| Full text: |
pdf (656.91 Kb)
|
