Novel Approach to Axisymmetric Actuator Disk Modeling
Novel Approach to Axisymmetric Actuator Disk Modeling
复制标题
轴对称执行器盘建模的新方法
作者：
A. Rosen;O. Gur
作动盘模型常用于旋转翼系统的分析。叶片单元动量模型可能是最常用的模型，因为它简单、高效，而且在许多情况下都有很好的精度。然而，动量模型在许多其他情况下未能给出令人满意的结果。原因可能是动量模型包括一个基本假设，即动量守恒方程的积分形式可以用它的微分形式代替。本文提出了一种新的执行器盘模型，该模型不包含上述假设。假设圆盘每个点的两侧之间的压差是通过该点的叶片元件的两侧之间的压差的时间平均值。除了计算通过圆盘的诱导速度的轴向分量外，求解过程还包括径向分量的计算。新模型包括迭代求解过程，收敛速度相对较快，所需计算资源相对较少，计算时间较短。文中描述了新模型，给出了求解过程，并将新结果与文献中的已知结果进行了比较。
Actuator disk models are commonly used for the analysis of rotary wing systems. The blade-element momentum model is probably the most popular one because of its simplicity, efficiency, and good accuracy in many cases. Yet momentum models fail to give satisfactory results in many other cases. The reason is probably the fact that momentum models include a basic assumption that the integral form of the equation of conservation of momentum can be replaced by its differential form. This paper presents a new actuator disk model that does not include the aforementioned assumption. It is assumed that the pressure difference between both sides of each point of the disk is a time average of the pressure difference between both sides of the blade elements that pass through that point. In addition to calculating the axial components of the induced velocity through the disk, the solution procedure also includes calculations of the radial component. The new model includes an iterative solution procedure that converges relatively fast and requires relatively small computing resources and short computing time. The paper describes the new model, presents the solution procedure, and compares the new results with known results from the literature.