Prediction of Vibration Behavior of Micro-Circular Disks at Low Reynolds Number Regime

Adil El Baroudi, Fulgence Razafimahery
2018 Journal of Multiscale Modelling  
is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. This is an author-deposited version published in: Handle ID In the current study, a theoretical method is developed to predict the vibrational behavior of micro-circular disks¯lled with viscous°uids and numerical results are presented to validate the model. Vibrations with two outer boundary conditions, rigid and deformable
more » ... essel, are studied. The coupled governing equations of both rigid and deformable vessel vibration are solved by the analytical procedure, taking°uid-structure interaction into account. The°uid gap e®ect on the coupled eigenfrequencies is also considered. The frequency spectrum plots of the¯rst several eigenfrequencies are presented in a wide range of°uid gap and elasticity ratio. The correctness of results is demonstrated using a commercial¯nite element software. It is shown that the obtained results through the proposed method reveal very good agreement with the numerical solution.
doi:10.1142/s1756973718500051 fatcat:myb7hgzo6ffdtppoznugnrmeqm