Effect of the Blade Inner-Tip Position on the Generation of Twin Vortices

Jung, Jongwoo; Choi, Woo-Young; Lee, Soogab

doi:10.2514/1.34549

Cited by 2 publications

(2 citation statements)

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“…Because of the spatial periodicity and interchangeability conditions, the calculation domain is comprised between θ 0 = 0 and θ 0 = θ/2, with θ = 2π/β (13) being the half-period of the vortex pair. Our description is completed by the following boundary conditions Equation ( 12) is solved numerically as a non-linear minimization problem.…”

Section: Governing Equations In Helical Coordinatesmentioning

confidence: 99%

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Closely spaced co-rotating helical vortices: General solutions

Castillo-Castellanos,

Venegas,

Dizès

2020

Preprint

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In this work, we present general solutions for closely spaced co-rotating helical vortices using a filament approach. For these vortex structures, helical symmetry is broken, but solutions maintain a form of spatial periodicity. We show there exists a moving frame where vortex elements move along the structure without distorting it. These solutions can be used to characterize the evolution of the twin-tip vortices produced in the wake of a tip-splitting rotor blade. The resulting wake has a dual nature. Locally, the structure behaves much like an helical pair aligned with the locally tangent flow. However, as we move away from the vortex structure the induced flow is reminiscent of an 'equivalent' helical vortex with thicker core.

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Section: Governing Equations In Helical Coordinatesmentioning

confidence: 99%

“…Previous studies focused on the mechanical and acoustical response of a vortex pair impinging on an airfoil either through wind tunnel measurements [10,11] or numerical simulations coupled with aero-acoustical models [12,13]. In the wind turbine community, blade loading is usually obtained using the Blade Element Momentum (BEM) theory.…”

Section: Introductionmentioning

confidence: 99%