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While Joukowski’s theory calculates the lift for airfoil profiles or infinitely long wings, Prandtl’s lifting line theory can be used to determine the lift for three-dimensional wings of finite extent. In the previous chapter, we recognised the importance of vorticity generation. Prandtl’s basic idea consists in introducing the so-called horseshoe vortex, i.e., a horseshoe-shaped vortex field behind the wing, which assigns a vortex thread to each profile cross-section. The formulation and solution of the fundamental equation allows the calculation of the vortex strengths.

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Lifting Line Theory

  • 章节

  • 发表日期：

    2026年

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  • Raj Spielmann

摘要

While Joukowski’s theory calculates the lift for airfoil profiles or infinitely long wings, Prandtl’s lifting line theory can be used to determine the lift for three-dimensional wings of finite extent. In the previous chapter, we recognised the importance of vorticity generation. Prandtl’s basic idea consists in introducing the so-called horseshoe vortex, i.e., a horseshoe-shaped vortex field behind the wing, which assigns a vortex thread to each profile cross-section. The formulation and solution of the fundamental equation allows the calculation of the vortex strengths.