A mathematical model that invokes the Kutta condition to account for vortex shedding from the trailing edge of a free hydrofoil in a planar ideal fluid is compared with a canonical model for the dynamics of a terrestrial vehicle subject to a nonintegrable velocity constraint. The Kutta condition is shown to be nonintegrable in a sense that parallels that in which the constraint on the terrestrial vehicle is nonintegrable. Simulations of the two systems' dynamics reinforce the analogy between the two.
Integrability of Velocity Constraints Modeling Vortex Shedding in Ideal Fluids
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received February 1, 2016; final manuscript received September 16, 2016; published online December 2, 2016. Assoc. Editor: Zdravko Terze.
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Tallapragada, P., and David Kelly, S. (December 2, 2016). "Integrability of Velocity Constraints Modeling Vortex Shedding in Ideal Fluids." ASME. J. Comput. Nonlinear Dynam. March 2017; 12(2): 021008. https://doi.org/10.1115/1.4034862
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