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An immersed body in arbitrary motion interacts with the surrounding fluid. The fluid particles close to the body impart their inertial resistance when the body accelerates or decelerates, due to the dynamic coupling between body and fluid. This work solves the incompressible Navier-Stokes equation, discretized by the finite element method, using the open source (LGPL) software FreeFem++, and evaluates the flow forces that act on a circular cylinder which oscillates harmonically in a resting fluid for KeuleganCarpenter (KC) number between 0.5 and 10, with a constant frequency parameter β equal to 35. The selected KC numbers aims to understand the concepts of added inertia in viscous fluid, from simpler to more complex flows. The flow is two dimensional, laminar and unsteady. The in-line force is then decomposed, according to Morison equation, as a sum of an inertial force and a drag force. The results agree with former analytical, experimental and numerical works available in the literature. The dynamics of the flow induced by the harmonically moving cylinder is rich. For low KC, the flow is symmetric and stable. For intermediate KC, the boundary layer detaches from the cylinder surface and vortices are shed at each half cycle. For higher KC, certain asymmetry develops and vortices are shed obliquely at each half cycle.

O conceito de inércia adicional do escoamento em torno de cilindro circular em oscilação forçada.