About: Lifting-line theory

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The Prandtl lifting-line theory is a mathematical model in aerodynamics that predicts lift distribution over a three-dimensional wing based on its geometry. It is also known as the Lanchester–Prandtl wing theory. The theory was expressed independently by Frederick W. Lanchester in 1907, and by Ludwig Prandtl in 1918–1919 after working with Albert Betz and Max Munk. In this model, the bound vortex loses strength along the whole wingspan because it is shed as a vortex-sheet from the trailing edge, rather than just as a single vortex from the wing-tips.

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  • La théorie des lignes portantes de Prandtl est un modèle qui prédit la distribution de la portance sur une aile tri-dimensionnelle basée sur sa géométrie. Elle est aussi appelée théorie des ailes de Lanchester–Prandtl. La théorie fut formulée indépendammentpar Frederick Lanchester en 1907,et par Ludwig Prandtl en 1918–1919après avoir travaillé avec Albert Betz et Max Munk. Dans ce modèle, le vortex perd de l'efficacité latéralement le long de l'aile car il est dévié par une nappe de vortex provenant de l'arrière de l'aile plutôt que de juste à partir des extrémités des ailes. La théorie s'applique particulièrement bien aux planeurs modernes et aux avions de transport de ligne qui ont de longues ailes effilées. (fr)
  • The Prandtl lifting-line theory is a mathematical model in aerodynamics that predicts lift distribution over a three-dimensional wing based on its geometry. It is also known as the Lanchester–Prandtl wing theory. The theory was expressed independently by Frederick W. Lanchester in 1907, and by Ludwig Prandtl in 1918–1919 after working with Albert Betz and Max Munk. In this model, the bound vortex loses strength along the whole wingspan because it is shed as a vortex-sheet from the trailing edge, rather than just as a single vortex from the wing-tips. (en)
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  • The Prandtl lifting-line theory is a mathematical model in aerodynamics that predicts lift distribution over a three-dimensional wing based on its geometry. It is also known as the Lanchester–Prandtl wing theory. The theory was expressed independently by Frederick W. Lanchester in 1907, and by Ludwig Prandtl in 1918–1919 after working with Albert Betz and Max Munk. In this model, the bound vortex loses strength along the whole wingspan because it is shed as a vortex-sheet from the trailing edge, rather than just as a single vortex from the wing-tips. (en)
  • La théorie des lignes portantes de Prandtl est un modèle qui prédit la distribution de la portance sur une aile tri-dimensionnelle basée sur sa géométrie. Elle est aussi appelée théorie des ailes de Lanchester–Prandtl. La théorie fut formulée indépendammentpar Frederick Lanchester en 1907,et par Ludwig Prandtl en 1918–1919après avoir travaillé avec Albert Betz et Max Munk. Dans ce modèle, le vortex perd de l'efficacité latéralement le long de l'aile car il est dévié par une nappe de vortex provenant de l'arrière de l'aile plutôt que de juste à partir des extrémités des ailes. (fr)
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  • Teoría de la línea de sustentación de Prandtl (es)
  • Théorie des lignes portantes (fr)
  • Lifting-line theory (en)
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