Wing geometric twist design method based on lifting-line theory
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摘要: 针对飞机设计对于减小诱导阻力的需求,结合升力线理论中三维机翼诱导阻力的相关研究,提出机翼的几何扭转设计方法.此设计方法以总升力、机翼平面形状、翼型气动特性为输入参数,以机翼的几何扭转为输出.在低速情况下,利用此方法得到的机翼具有椭圆形升力分布,从而具有最小的诱导阻力.采用远场法计算诱导阻力,应用参数化方法和CATIA实现机翼的自动生成,应用网格生成工具ICEM的脚本语言实现气动网格自动生成,应用MATLAB的符号运算功能编制程序.该设计方法适用于低速有粘流中平直翼的几何扭转设计,算例的CFD(Computational Fluid Dynamics)计算结果表明:利用该方法设计的机翼展向升力分布为椭圆,并能有效降低机翼的诱导阻力.Abstract: To meet the demand for reducing induced drag in aircraft design, a geometric twist design method for the wing was proposed, based on the research of three-dimensional wing induced drag in lifting-line theory. This method with input parameters of wing total lift, wing planar shape, airfoil aerodynamic characteristics, gives the wing geometric twist result. In low speed situations, a wing with elliptical lift distribution, which had the minimum induced drag,was obtained. Far-field method was used to calculate induced drag, CATIA parametric method was developed for automatic wing generation, script language of ICEM tool was applied for automatic grid generation, symbolic computation capability of MATLAB was carried out to perform the program. This method is suitable for geometric twist design of straight wing in low-speed viscous flow. Examples indicated that the wing designed by this method had an elliptical lift distribution, thereby had lower induced drag.
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Key words:
- lifting-line theory /
- geometric twist /
- lift distribution /
- induced drag
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