Dolphin's flukes: A mathematical model of rigid wing

E. V. Romanenko1, S. G. Pushkov2, V. N. Lopatin

¹A.N. Severtsov Institute of Ecology and Evolution, RAS
119071 Moscow, Leninskii Pr., 33
e-mail: evromanenko33@mail.ru
²M.M. Gromov Flight Research Institute
140180 Moscow Region, Zhukovsky, Garnayeva, 2A

New analytical method is used to estimate hydrodynamic forces produced by dolphin's flukes. A mathematical model is proposed that describes dolphin's flukes as a flat rigid rectangular wing whose pitch axis location varies, heaving and pitching amplitudes are sufficiently large, and the phase angle shift for the combined oscillations can change arbitrarily. The dolphin's flukes kinematic parameters are obtained and used to estimate hydrodynamic forces.