Numerical analysis of multiple, thin-sail geometries based on Prandtl¡¯s lifting-line theory

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• 作者：Robert E. Spall ; Warren F. Phillips ; Brian B. Pincock
• 关键词：Potential flow ; Aerodynamics ; Lifting line theory
• 刊名：Computers and Fluids
• 出版年：2013
• 出版时间：15 August, 2013
• 年：2013
• 卷：82
• 期：Complete
• 页码：29-37
• 全文大小：1729 K

文摘

Solutions obtained from a numerical method based on Prandtl¡¯s lifting-line theory, valid for multiple lifting surfaces with arbitrary sweep, are obtained for a number of rigid wing and sail geometries. The results are compared against solutions obtained using established vortex-lattice methods, and computational fluid dynamics solutions to the Euler equations. For the case of an untwisted, rectangular wing, numerical lifting-line, vortex-lattice, and Euler solutions were all in reasonable agreement. However, the numerical lifting-line method was the only method to predict the constant ratio of induced-drag coefficient to lift coefficient squared, which has been predicted from the analytic solution and confirmed by well established experimental data. Results are also presented for a forward-swept, tapered wing. Additional results are presented in terms of lift and induced-drag coefficients for an isolated mainsail, and mainsail/jib combinations with sails representative of both a standard and tall rig Catalina 27. The influence of the nonlinear terms in the lifting-line solution appears minimal, with the exception of mainsail results when considering jib/mainsail combinations.