Dynamic modeling and analysis of vortex filament motion using a novel curve-fitting method

Applications of a novel curve-fitting technique are presented to efficiently predict the motion of the vortex filament, which is trailed from a rigid body such as wings and rotors. The governing equations of the motion, when a Lagrangian approach with the present curve-fitting method is applied, can be transformed into an easily solvable form of the system of nonlinear ordinary differential equations. The applicability of Be′zier curves, B-spline, and Lagrange interpolating polynomials is investigated. Local Lagrange interpolating polynomials with a shift operator are proposed as the best selection for applications, since it provides superior system characteristics with minimum computing time, compared to other methods. In addition, the Gauss quadrature formula with local refinement strategy has been developed for an accurate prediction of the induced velocity computed with the line integration of the Biot–Savart law. Rotary-wing problems including a vortex ring problem are analyzed to show the efficiency, accuracy, and flexibility in the applications of the proposed method.     

燃料分级对旋流火焰的动态特性影响研究

为深入研究分级旋流火焰特性,以分级旋流模型燃烧室为研究对象,对四个不同燃料分级比(Rf)条件下的分级旋流火焰进行了数值研究,在时均燃烧场特性分析的基础上进一步对燃料分级比为1和3两个工况进行了基于壁面建模的大涡模拟(WMLES)研究。结果表明:燃料分级比的改变会影响中心回流区(CRZ)的长度和宽度。燃烧室中截面的散点分布图能够显示出不同燃料分级比条件下的燃烧特征。燃料分级比为1时,燃烧室剪切层仅存在零散的涡破碎区;而燃料分级比为3时,伴随涡破碎区还出现了单螺旋分支进动涡核(PVC)。通过FFT变换获得的燃烧室内剪切层速度能谱主频与进动涡核的旋转频率相同,表明内剪切层速度脉动的产生与进动涡核有关。另外进动涡核会使流场内的燃料分布和燃烧模式发生周期性的变化,进而影响燃烧过程。调整燃料分级比在1附近,能够使分级火焰达到稳定燃烧降低排放的目标。     

预旋系统稳态和非稳态计算对比研究

针对预旋系统由于旋转引起流场和温度场参数周期性瞬态变化的问题,分别采用滑移网格的瞬态法和固定转子相位的稳态法进行数值求解,并在稳态计算中通过改变转子相位来近似模拟非稳态问题的时空变化特性。通过稳态空间平均结果与非稳态时均结果的对比,以期为预旋系统非稳态问题的低成本求解提供方法依据。结果表明：稳态计算结果与非稳态计算结果相比,周期性波动频率一致,接受孔进口处,稳态计算的压力波动幅度小39%左右,温度波动幅度小15%左右;多个相位的稳态空间平均结果与非稳态时均结果相比,压力高0.2%,温度低0.1%;采用多个计算周期数与单个周期的非稳态计算结果差异微小。当采用喷嘴出口气流中心正对接受孔迎风面前缘的转子相位时,稳态计算结果与非稳态计算时均结果最接近。     

基于实验设计和响应面模型的风扇转子气动优化设计

针对跨声速风扇动叶中掠、弯结合叶片基于控制点的B样条曲线对积叠线进行参数化,以掠、弯为设计自由度,应用实验设计、三维粘性流场求解、响应面模型及遗传算法对Rotor 67以近尖峰效率工况点为设计点对风扇转子进行了气动优化设计,得到了前掠与弯向旋转方向的复合设计叶片,其总压比有较明显提高。但由于优化是在单一工况点下进行的,其变工况性能不佳。     

地面效应对尾涡消散的影响研究

采用大涡模拟方法可以分析和计算近地阶段尾涡消散和运动规律,但模型繁琐、计算复杂。本研究基于镜像涡方法建立了形式相对简单、计算迅速的近地尾涡运动模型和消散模型,计算结果与激光雷达测量数据和大涡模拟数据的偏差都不超过5％,满足动态尾涡间隔研究的需要。     

上游尾迹与涡轮转子泄漏流相互作用数值模拟

叶轮机内部流动本质上是周期性非定常的,研究涡轮转子叶尖区域的非定常相互作用机理,对提高小展弦比高负荷涡轮性能具有重要意义.利用数值模拟方法研究了上游静子尾迹与涡轮转子叶尖泄漏流的非定常相互作用,分析了定常结果、时间平均结果以及瞬时时刻结果的流动图画.结果表明:上游静子尾迹与涡轮转子尖区二次流的相互作用能明显影响泄漏涡和机匣通道涡的时空演化规律,从而改变转子尖区的损失分布.上游尾迹在转子通道中传播时,诱导泄漏涡和通道涡区域出现周期性的扰动涡对,扰动涡对沿着泄漏涡和通道涡的轨迹向下游运动,使得转子尖区二次流结构呈现周期性变化.      

不同轴向间距下涡轮级内非定常流场的数值研究

针对不同轴向间距下涡轮级内非定常流动进行了数值研究.讨论了非定常条件下轴向间距变化对非定常性及流场分布的影响,探讨了转子和静子叶片之间的非定常相干的机理.结果表明,轴向间距L对转子内流动的非定常性有着强烈的影响.随着轴向间距的减小,静叶尾迹的强度及影响范围增加,静叶尾迹对动叶的周期性非定常影响还是主要出现在前缘附近.由于静叶尾迹的恢复效应与来流尾迹强度成正比,50%轴向间距下动叶出口流场的湍动能在动叶通道中央区域最小.      

多段翼混合边界层改变对流场的影响研究

前缘缝翼尾流与主翼边界层混合的改变对主翼气动力具有重要影响.利用数值模拟手段,通过在前缘缝翼尾缘添加一定动量系数的喷流,改变前缘缝翼尾缘的尾流,进而改变尾流与主翼边界层的混合状况.求解二维多段翼模型30P30N在各个不同喷流条件下的二维非定常流场,结果表明:提高前缘缝翼尾缘喷流的动量系数,将使前缘缝翼尾流和主翼边界层混合开始点后移,提高主翼上表面负压峰值和主翼升力;混合开始点对主翼的负压峰值及升力均有一定的影响;增大来流攻角会抑制前缘缝翼尾流和主翼边界层的混合.     

商用航空发动机转子部件的电子束焊接

现代商用航空发动机具有长寿命、高可靠性等要求,这对电子束焊接头的设计、制造及检测均提出了更高的要求。介绍了航空发动机转子部件电子束焊接结构及接头设计形式、检测要求,指出了针对商用航空发动机转子电子束焊需开展的研究工作。     

Aerodynamic optimization of rotor airfoil based on multi-layer hierarchical constraint method

Rotor airfoil design is investigated in this paper. There are many difficulties for this high-dimensional multi-objective problem when traditional multi-objective optimization methods are used. Therefore, a multi-layer hierarchical constraint method is proposed by coupling principal component analysis (PCA) dimensionality reduction and e-constraint method to translate the orig-inal high-dimensional problem into a bi-objective problem. This paper selects the main design objectives by conducting PCA to the preliminary solution of original problem with consideration of the priority of design objectives. According to the e-constraint method, the design model is estab-lished by treating the two top-ranking design goals as objective and others as variable constraints. A series of bi-objective Pareto curves will be obtained by changing the variable constraints, and the favorable solution can be obtained by analyzing Pareto curve spectrum. This method is applied to the rotor airfoil design and makes great improvement in aerodynamic performance. It is shown that the method is convenient and efficient, beyond which, it facilitates decision-making of the high-dimensional multi-objective engineering problem.