Ahmed A. Hussein, Haithem E. Taha, Saad Ragab, Muhammad R. Hajj

DOI Number: N/A

Conference number: IFASD-2017-237

A Lagrangian formulation for the dynamics of unsteady point vortices is proposed. This Lagrangian is shown to be equivalent to the previously constructed Lagrangian in terms of yielding exact same dynamics for vortices of constant strength. However, different dynamics is obtained in the case of unsteady point vortices. The resulting Euler-Lagrange equation derived from the principle of least action based on the proposed Lagrangian exactly matches the BrownMichael evolution equation for unsteady point vortices, which was derived from a completely different point of view that was based on conservation of linear momentum. The resulting dynamic model of time-varying vortices is applied to two cases of unsteady point vortices, namely the starting vortex and the vortex generated by a pitching flat plate. Validation of the results of the proposed Lagrangian are determined by comparing resulting aerodynamic coefficients with those of other models and experiments.

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In Categories: 1.Events, Computational Aeroelasticity, IFASD 2017
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