On actuator disc force fields generating wake vorticity

On actuator disc force fields generating wake vorticity

Van Kuik, G.A.M.
Van Zuijlen, A.H.

Aerospace Engineering

Aerospace Design, Integration and Operations

2009-12-31

Actuator disc calculations can be divided in two categories: force models where, for a prescribed force field, the flow is calculated using a CFD method, and kinematic models, where the wake is calculated based on wake boundary conditions and the force field is known when the velocities are known. In both categories, but specifically for the kinematical models, results are reported that differ some 10% from momentum models. Furthermore, most calculations which give details about the flow through the disc do not satisfy the condition derived by Xyros & Xyros (2007) that the axial velocity through the disc is uniform for discs with a uniform surface load. Apart from this, the inconsistency in the momentum models discussed by van Kuik (2003) is still unresolved. These observations raise the questions: what is the relation between force- and flow field, what are the requirements for a steady axisymmetric force field to generate vorticity in an Euler flow?

actuator disc
force field
vorticity
wake

http://resolver.tudelft.nl/uuid:de066274-04b9-4281-b580-3a789ad8f218

Extended Abstracts for Euromech Colloquium 508, Wind Turbine Wakes, 20-22 October, 2009, Madrid

Institutional Repository

conference paper

(c) 2009 G.A.M. van Kuik; A.H. van Zuylen; European Mechanics Society