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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email:

A Computational and Theoretical Review on the Motion of a Spinning Spherical Particle in Media with Different Viscosities

Journal of Applied Nonlinear Dynamics 7(3) (2018) 309--317 | DOI:10.5890/JAND.2018.09.008

F. L. Braga; I. G. Pauli; V. S. Amorim

Coordenadoria de Física, Instituto Federal de Educação, Ciências e Tecnologia do Espírito Santo, Campus Cariacica, Av. José Sette s/n, Espirito Santo, 29150-410, Brasil

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Ballistic calculations were the first attempt where computers were used for, and the oblique launching of objects when studied at an ideal approach is quite simple with a parabolic trajectory of particles. The same motion could become intrinsically difficult to solve when dissipative forces are considered at the model. The present work shows a brief theoretical review on the motion of a spinning spherical particle under the influence of the gravitational field, the drag force and the Magnus effect. The drag forces can alter the translation speed and the angular velocity. We determined the profiles of the trajectories, velocity field and the modifications of frequency in two scenarios, first when the particle is moving across one medium and second when it pass through one medium to another. The results, trajectories obtained are in agreement the predictions for the cases where non continuous and non uniform forces are acting on a body.


We would like to thanks CNPq and CAPES for the financial support and Instituto Federal de Educação, Ciências e Tecnologia do Espírito Santo for the opporunity.


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