航空学报 > 2003, Vol. 24 Issue (5): 400-404

基于FW-H方程的旋翼气动声学计算研究

韩忠华, 宋文萍, 乔志德   

  1. 西北工业大学飞机系 陕西西安 710072
  • 收稿日期:2003-06-10 修回日期:2003-07-14 出版日期:2003-10-25 发布日期:2003-10-25

Aeroacoustic Calculation for Helicopter Rotor in Hover and in Forward Flight Based on FW-H Equation

HAN Zhong-hua, SONG Wen-ping, QIAO Zhi-de   

  1. Department of Aircraft Engineering; Northwestern Polytechnical University; Xi'an 710072; China
  • Received:2003-06-10 Revised:2003-07-14 Online:2003-10-25 Published:2003-10-25

摘要: 由流体力学N-S 方程导出的非齐次波动方程 Ffowcs Williams-Haw kings 方程( 简称FW-H 方程),可以精确地描述在静止流体中运动的物体与流体相互作用的发声问题。以FW??H 方程为理论模型, 将旋翼桨叶运动发声问题等效为包含桨叶的任意运动控制面( 声源面) 的声辐射问题, 并在旋翼绕流Euler 方程数值模拟的基础上, 在时域内计算了悬停旋翼和前飞旋翼的声场。应用于UH-1H 和AH-1/ OLS 两种旋翼模型的气动声学计算表明: 计算结果与噪声实验值符合良好; 所研制的程序不仅能够较准确地计算单极子噪声和偶极子噪声, 而且具有较强的跨音速四极子噪声预测能力。

关键词: 旋翼, 气动声学, FWH方程, 非定常欧拉方程

Abstract: Ffowcs Williams/ Haw kings ( FW-H) Equation, which is directly derived from Nav ier??Stokes equations,has been the theoret ical backg round of predicting the noise gener ated by mov ing bodies. For predicting the rotornoise, in the conventio nal solution of FW-H equation, the blade is utilized as t he integr atio n surface, and complica??tion is caused when calculating the quadrupole noise. In the present work, a form of FW-H equation applied for apermeable surface was employ ed for predicting the quadrupole noise aero dynamically g ener ated by rotor bot h in hoverand forward flight. Sect ion 1 discusses the CFD calculation performed by solving the 3-D unsteady Euler's equa??tions. Section 2 describes in detail the solution of permeable??surface FW-H equation in t ime domain. The computedr esults for all cases w ere compared with ex perimental data and reasonable agr eement has been achieved. It w as alsoshow n that the dev eloped code is efficient and is capable of capturing the nonlinear quadr upole no ise for transonic ro??tor.

Key words: rotor, aeroacoustics, Ffowcs Williams/Hawkings equation, unsteady Euler’s equations

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