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Axisymmetric potential flow model of single or coaxial actuator disks

Publication ,  Conference
Giovanetti, EB; Hall, KC
Published in: Annual Forum Proceedings - AHS International
January 1, 2016

This papcr prcscnts a computationally cfficicnt method for computing the axisymmetric three-dimensional flow field induced by the trailing vortex system of either a single actuator disk or a pair of closely spaced coaxial actuator disks. A rotor in axial flight or hover (or a pair of coaxial rotors) is modeled as an actuator disk (or disks); the associated wake is modeled using contracting cylindrical sheets of vorticity approximated by discrete vortex rings. The resulting system of vortex sheets is axisymrnetric and aligned with flow streamlines. The location of the sheets of vorticity is found using Newton iteration. A singularity occurs where the outer vortex sheet vortex sheet terminates at the edge of the actuator disk. This singularity is resolved through the formation of a 45° logarithmic spiral in hover, which produces a non-uniform inflow at the face of the disk, particularly near the edge of the disk where the flow field is entirely reversed. Finally, the model is applied to coaxial actuator disks to quantify the mutual interference of coaxial rotors at various axial spacings, and when operating in either a torque-balanced or and equal circulation state.

Duke Scholars

Published In

Annual Forum Proceedings - AHS International

ISSN

1552-2938

ISBN

9781510825062

Publication Date

January 1, 2016

Volume

1

Start / End Page

747 / 757
 

Citation

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MLA
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Giovanetti, E. B., & Hall, K. C. (2016). Axisymmetric potential flow model of single or coaxial actuator disks. In Annual Forum Proceedings - AHS International (Vol. 1, pp. 747–757).
Giovanetti, E. B., and K. C. Hall. “Axisymmetric potential flow model of single or coaxial actuator disks.” In Annual Forum Proceedings - AHS International, 1:747–57, 2016.
Giovanetti EB, Hall KC. Axisymmetric potential flow model of single or coaxial actuator disks. In: Annual Forum Proceedings - AHS International. 2016. p. 747–57.
Giovanetti, E. B., and K. C. Hall. “Axisymmetric potential flow model of single or coaxial actuator disks.” Annual Forum Proceedings - AHS International, vol. 1, 2016, pp. 747–57.
Giovanetti EB, Hall KC. Axisymmetric potential flow model of single or coaxial actuator disks. Annual Forum Proceedings - AHS International. 2016. p. 747–757.

Published In

Annual Forum Proceedings - AHS International

ISSN

1552-2938

ISBN

9781510825062

Publication Date

January 1, 2016

Volume

1

Start / End Page

747 / 757