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Generalized Filtered Lifting Line Theory for Arbitrary Chord Lengths and Application to Wind Turbine Blades
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  • Luis A. Martínez-Tossas,
  • Philip Sakievich,
  • Matt Churchfield,
  • Charles Meneveau
Luis A. Martínez-Tossas
National Renewable Energy Laboratory

Corresponding Author:luis.martinez@nrel.gov

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Philip Sakievich
Sandia National Laboratories
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Matt Churchfield
National Renewable Energy Laboratory
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Charles Meneveau
Johns Hopkins University
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Abstract

The filtered lifting line theory is an analytical approach to solving the equations of flow subjected to body forces with a Gaussian distribution, such as used in the actuator line model. In the original formulation 1, the changes in chord length along the blade were assumed to be small. This assumption can lead to errors in the induced velocities predicted by the theory compared to full solutions of the equations. In this work, we revisit the original derivation and provide a more general formulation, that can account for significant changes in chord along the blade. The revised formulation allows for applications to wings with significant changes in chord along the span, such as wind turbine blades.
24 Feb 20231st Revision Received
26 Feb 2023Submission Checks Completed
26 Feb 2023Assigned to Editor
26 Feb 2023Review(s) Completed, Editorial Evaluation Pending
13 Mar 2023Reviewer(s) Assigned
07 Jul 2023Editorial Decision: Revise Minor
20 Jul 20232nd Revision Received
21 Jul 2023Submission Checks Completed
21 Jul 2023Assigned to Editor
21 Jul 2023Review(s) Completed, Editorial Evaluation Pending
14 Sep 2023Editorial Decision: Accept