Coelho, Rodrigo Carlos VianaAraújo, Nuno Miguel Azevedo Machado deSilva, Tomé Alberto Fernandes da2023-08-232023-08-2320232023http://hdl.handle.net/10451/58972Tese de Mestrado, Engenharia Física, 2023, Universidade de Lisboa, Faculdade de CiênciasParticles moving in a fluid interact though flows leading to rich non-linear behaviours. A problem of interest is the synchronisation in biological flows at the microscale, such as the synchronisation of bacteria flagella and the transport of organelles in living organisms by cilia. In this work, we used the lattice Boltzmann method to simulate moving solid particles in a fluid and simulate the fluid-particles interaction. With these simulations, we studied the effect on synchronization of different parameters, such as the fluid viscosity, the distance between oscillators, their natural oscillation frequency, and the initial phase shift. This study is divided in to two parts: systems with particles with the same natural oscillation frequency and systems with particles of different natural oscillation frequencies. This was done with further propose of relating these quantities with the coupling factor of the Kuramoto model. As the simplest Kuramoto model used presented some limitations, we propose a modification to it, where either the natural frequency of the coupling factor is non-constant. With these modified models, we concluded that the necessary coupling factor to synchronize is proportional to the natural frequency and the fluid viscosity, while inversely proportional to the distance between centers of oscillation.engOsciladoresSincronizaçãoModelo de KuramotoMétodo Lattice-BoltzmannTeses de Mestrado - 2023master thesis203490932