The Contra-Rotating Open Rotor(CROR)design confronts significant noise challenges despite being one of the possible options for future green aeroengines.To efficiently estimate the noise emitted from a CROR,a three-di...The Contra-Rotating Open Rotor(CROR)design confronts significant noise challenges despite being one of the possible options for future green aeroengines.To efficiently estimate the noise emitted from a CROR,a three-dimensional unsteady prediction model based on the meshless method is presented.The unsteady wake flow and the aerodynamic load fluctuations on the blade are solved through the viscous vortex particle method,the blade element momentum theory and vortex lattice method.Then,the acoustic field is obtained through the Farassat’s formulation 1A.Validation of this method is conducted on a CROR,and a mesh-based method,e.g.,Nonlinear Harmonic(NLH)method,is also employed for comparison.It is found that the presented method is three times faster than NLH method while maintaining a comparable precision.A thorough parametric analysis is also carried out to illustrate the effects of rotational speed,rotor-rotor spacing and rear rotor diameter on the noise level.The rotor speed is found to be the most influencing factor,and by optimizing the speed difference between the front and rear rotors,a notable noise reduction can be expected.The current findings not only contribute to a deeper comprehension of the CROR’s aeroacoustic properties but also offer an effective tool for engineering applications.展开更多
Flight dynamics modeling for the Mars helicopter faces great challenges.Aerodynamic modeling of coaxial rotor with high confidence and high computational efficiency is a major difficulty for the field.This paper build...Flight dynamics modeling for the Mars helicopter faces great challenges.Aerodynamic modeling of coaxial rotor with high confidence and high computational efficiency is a major difficulty for the field.This paper builds an aerodynamic model of coaxial rotor in the extremely thin Martian atmosphere using the viscous vortex particle method.The aerodynamic forces and flow characteristics of rigid coaxial rotor are computed and analyzed.Meanwhile,a high fidelity aerodynamic surrogate model is built to improve the computational efficiency of the flight dynamics model.Results in this paper reveal that rigid coaxial rotor can bring the Mars helicopter sufficient controllability but result in obvious instability and control couplings in forward flight.This highlights the great differences in flight dynamics characteristics compared with conventional helicopters on Earth.展开更多
This research develops a two-dimensional numerical model for the simulation of the flow due to a solitary wave passing over a trapezoidal submerged breakwater on the basis of generalized vortex methods. In this method...This research develops a two-dimensional numerical model for the simulation of the flow due to a solitary wave passing over a trapezoidal submerged breakwater on the basis of generalized vortex methods. In this method, the irrotational flow field due to free surface waves is simulated by employing a vortex sheet distribution, and the vorticity field generated from the submerged object is discretized using vortex blobs. This method reduces the difficulty in capturing the nonlinear deformation of surface waves, and also concentrates the computational resources in the compact region with vorticity. This numerical model was validated by conducting a set of simulations for irrotational solitary waves and then compared with the results of a relevant research. The comparisons exhibit good agreement. The rotational flows induced by different incident wave height were simulated and analyzed to study the effect of vorticity on the deformation and the breaking of solitary waves.展开更多
In a two-phase flow, the vortex merging influences both the flow evolution and the particle motion. With the blobs-splitting-and-merging scheme, the vortex merging is calculated by a corrected core spreading vortex me...In a two-phase flow, the vortex merging influences both the flow evolution and the particle motion. With the blobs-splitting-and-merging scheme, the vortex merging is calculated by a corrected core spreading vortex method （CCSVM）. The particle motion in the vortex merging process is calculated according to the particle kinetic model. The results indicate that the particle traces are spiral lines with the same rotation direction as the spinning vortex. The center of the particle group is in agreement with that of the merged vortex. The merging time is determined by the circulation and the initial ratio of the vortex radius and the vortex center distance. Under a certain initial condition, a stretched particle trail is generated, which is determined by the viscosity, the relative position between the particles and the vortex, and the asymmetrical circulation of the two merging vortices.展开更多
The spatiotemporal evolution of hairpin vortex structures in a fully developed turbulent boundary layer is investigated qualitatively and quantitatively by using two image methods.In this paper,the moving single-frame...The spatiotemporal evolution of hairpin vortex structures in a fully developed turbulent boundary layer is investigated qualitatively and quantitatively by using two image methods.In this paper,the moving single-frame and long-exposure(MSFLE)image method is used to intuitively track the evolution process of a hairpin vortex,while the moving particle image velocimetry(moving-PIV)method is applied for obtaining a moving velocity field for quantitative analysis.According to the structural characteristics of the hairpin vortex,an inclined light sheet with an appropriate inclination of 53°is arranged to capture the complete hairpin vortex structure at Re_(θ)=97–194.In addition,the core size and the rotational strength of a hairpin vortex are further defined and quantified by the Liutex vector method.The evolution process of a complete hairpin vortex structure observed by MSFLE shows that the shear along the normal direction leads to an increasing strength of the hairpin vortex,accompanied by a lifting vortex head and a distance decrease between two vortex legs during the dissipation period.By combining moving-PIV with the Liutex identification,the spatiotemporal evolution of four typical regions of a hairpin vortex projecting into a 53°cross-section is obtained.The results show that the process from the generation to the dissipation of a single hairpin vortex can be well characterized and recorded by the Liutex based on the core size and rotational intensity,and the evolution process is consistent with the MSFLE result.According to the statistics of vortex core size and rotation intensity along time,the evolution of the hairpin vortex necks and legs can be described as a process of enhancement followed by dissipation.For the vortex head,its evolution maintains longer attributed to its far-from-wall position,which consists of an absolute enhancement process(stage 1)with an increasing rotation strength and a constant core size,and an absolute dissipation(stage 2)with a decreasing rotation strength and a constant co展开更多
Electric vertical take-off and landing(eVTOL)aircraft with multiple lifting rotors or prop-rotors have received significant attention in recent years due to their great potential for next-generation urban air mobility...Electric vertical take-off and landing(eVTOL)aircraft with multiple lifting rotors or prop-rotors have received significant attention in recent years due to their great potential for next-generation urban air mobility(UAM).Numerical models have been developed and validated as predictive tools to analyze rotor aerodynamics and wake dynamics.Among various numerical approaches,the vortex method is one of the most suitable because it can provide accurate solutions with an affordable computational cost and can represent vorticity fields downstream without numerical dissipation error.This paper presents a brief review of the progress of vortex methods,along with their principles,advantages,and shortcomings.Applications of the vortex methods for modeling the rotor aerodynamics and wake dynamics are also described.However,the vortex methods suffer from the problem that it cannot deal with the nonlinear aerodynamic characteristics associated with the viscous effects and the flow behaviors in the post-stall regime.To overcome the intrinsic drawbacks of the vortex methods,recent progress in a numerical method proposed by the authors is introduced,and model validation against experimental data is discussed in detail.The validation works show that nonlinear vortex lattice method(NVLM)coupled with vortex particle method(VPM)can predict the unsteady aerodynamic forces and complex evolution of the rotor wake.展开更多
旋翼/平尾非定常气动干扰是导致直升机纵向"抬头(Pitch-up)"现象的主要原因。为在直升机设计阶段准确分析旋翼/平尾非定常气动干扰以及由此引起的低速纵向操纵特性变化,通过涡量等效原则和Neumann物面边界条件建立了适用于旋...旋翼/平尾非定常气动干扰是导致直升机纵向"抬头(Pitch-up)"现象的主要原因。为在直升机设计阶段准确分析旋翼/平尾非定常气动干扰以及由此引起的低速纵向操纵特性变化,通过涡量等效原则和Neumann物面边界条件建立了适用于旋翼/平尾气动干扰分析的非定常面元/黏性涡粒子混合法。该方法耦合了考虑尾迹时变效应的非定常面元法、黏性涡粒子法及涡量镜面法,以准确模拟旋翼和平尾的非定常气动载荷、旋翼尾迹的非定常特性以及旋翼尾迹对平尾的气动干扰效应。首先通过计算NASA ROBIN(Rotor Body Interaction)旋翼尾迹几何和诱导速度分布,并与实验测量值、时间精确自由尾迹及CFD计算结果对比验证方法的准确性。相比于时间精确自由尾迹,本文方法计算精度更高。随后分析了旋翼/平尾非定常气动干扰对平尾向下气动载荷和气动导数的影响,并分析了平尾构型对旋翼/平尾非定常气动干扰的影响规律。分析表明:旋翼尾迹与平尾干扰导致低速状态的平尾载荷突增,气动导数反号;低平尾气动载荷突增较大,高平尾较小,但高速气动导数反号;前置平尾载荷突增量减小,但对应速度范围较宽;右旋直升机右平尾载荷突增量较小,但气动导数特性基本不变。展开更多
Particle-laden gas flows past a circular cylinder at the Reynolds number of 2×10^(5) were numerically investigated. The Discrete Vortex Method (DVM) was employed to evaluate the unsteady gas flow fields and a Lag...Particle-laden gas flows past a circular cylinder at the Reynolds number of 2×10^(5) were numerically investigated. The Discrete Vortex Method (DVM) was employed to evaluate the unsteady gas flow fields and a Lagrangian approach was applied for tracking individual solid particles. The vortex patterns and the distributions of particles with different Stokes numbers were obtained. Numerical results show that: (1) at small Stokes number (St=0.01) the particles move with the fluid and could be found evenly throughout the flow, (2) the regions around the vortex cores, where few particles exist, become wider as the stokes number of particles increases from 0.01 to 1.0, (3) at middle Stokes number (St=1.0, 10) centrifugal forces throw the particles out of the wake vortices, (4) at high Stokes number (St=100, 1000) the particles are not affected by the vortices,and their motion is determined by their inertia effects.展开更多
In this study, coupled equations of the motion of a particle in a fluid forced vortex were investigated using the differential transformation method （DTM） with the Pad6 approximation and the differential quadrature ...In this study, coupled equations of the motion of a particle in a fluid forced vortex were investigated using the differential transformation method （DTM） with the Pad6 approximation and the differential quadrature method （DO_M）. The significant contribution of the work is the introduction of two new, fast and efficient solutions for a spherical particle in a forced vortex that are improvements over the previous numerical results in the literature. These methods represent approximations with a high degree of accuracy and minimal computational effort for studying the particle motion in a fluid forced vortex. In addition, the velocity profiles （angular and radial） and the position trajectory of a particle in a fluid forced vortex are described in the current study.展开更多
悬停和侧滑状态的直升机主旋翼桨尖涡将穿透尾桨桨尖平面,由此导致尾桨非定常气动载荷发生明显变化。为更准确地模拟由主旋翼/尾桨干扰产生的尾桨非定常气动载荷变化,通过在面元压力项中增加由旋翼桨尖涡诱导的时变项,体现旋翼桨尖涡速...悬停和侧滑状态的直升机主旋翼桨尖涡将穿透尾桨桨尖平面,由此导致尾桨非定常气动载荷发生明显变化。为更准确地模拟由主旋翼/尾桨干扰产生的尾桨非定常气动载荷变化,通过在面元压力项中增加由旋翼桨尖涡诱导的时变项,体现旋翼桨尖涡速度和几何时变对桨叶非定常压力的影响,同时采用涡面镜像法修正涡粒子法的黏性项,确保桨叶附近区域旋翼涡量守恒,建立旋翼尾迹对尾桨叶的非定常气动干扰模型,并耦合面元/黏性涡粒子法,构建直升机主旋翼/尾桨干扰下的尾桨非定常气动载荷分析方法。通过计算AH-1G旋翼桨叶非定常气动载荷特性,并与实验测量值、计算流体力学(CFD)计算结果对比,验证本文非定常气动干扰模型的有效性。随后基于NASA ROBIN(Rotor Body Interaction)模型分析悬停、侧风和60°右侧滑状态主旋翼对尾桨非定常气动载荷的影响,分析表明主旋翼尾迹对尾桨非定常气动载荷影响显著。悬停状态的主旋翼/尾桨干扰导致尾桨拉力平均值下降、非定常气动载荷显著增加;左侧风状态,主旋翼/尾桨干扰削弱尾桨"涡环"程度,显著增加尾桨拉力和非定常气动载荷;60°右侧滑状态,主旋翼/尾桨干扰导致尾桨拉力损失最大,且在低速侧滑状态出现尾桨拉力"迅速恢复"现象,尾桨非定常气动载荷幅值迅速增加。展开更多
基金the financial support from the National Natural Science Foundation of China(Nos.52276045 and 52206062)the Fundamental Research Funds for the Central Universities,China(Nos.3122019171,3122021087 and 3122022QD06).
文摘The Contra-Rotating Open Rotor(CROR)design confronts significant noise challenges despite being one of the possible options for future green aeroengines.To efficiently estimate the noise emitted from a CROR,a three-dimensional unsteady prediction model based on the meshless method is presented.The unsteady wake flow and the aerodynamic load fluctuations on the blade are solved through the viscous vortex particle method,the blade element momentum theory and vortex lattice method.Then,the acoustic field is obtained through the Farassat’s formulation 1A.Validation of this method is conducted on a CROR,and a mesh-based method,e.g.,Nonlinear Harmonic(NLH)method,is also employed for comparison.It is found that the presented method is three times faster than NLH method while maintaining a comparable precision.A thorough parametric analysis is also carried out to illustrate the effects of rotational speed,rotor-rotor spacing and rear rotor diameter on the noise level.The rotor speed is found to be the most influencing factor,and by optimizing the speed difference between the front and rear rotors,a notable noise reduction can be expected.The current findings not only contribute to a deeper comprehension of the CROR’s aeroacoustic properties but also offer an effective tool for engineering applications.
基金supported by the Priority Academic Program Development of Jiangsu Higher Education Institutions,China.
文摘Flight dynamics modeling for the Mars helicopter faces great challenges.Aerodynamic modeling of coaxial rotor with high confidence and high computational efficiency is a major difficulty for the field.This paper builds an aerodynamic model of coaxial rotor in the extremely thin Martian atmosphere using the viscous vortex particle method.The aerodynamic forces and flow characteristics of rigid coaxial rotor are computed and analyzed.Meanwhile,a high fidelity aerodynamic surrogate model is built to improve the computational efficiency of the flight dynamics model.Results in this paper reveal that rigid coaxial rotor can bring the Mars helicopter sufficient controllability but result in obvious instability and control couplings in forward flight.This highlights the great differences in flight dynamics characteristics compared with conventional helicopters on Earth.
文摘This research develops a two-dimensional numerical model for the simulation of the flow due to a solitary wave passing over a trapezoidal submerged breakwater on the basis of generalized vortex methods. In this method, the irrotational flow field due to free surface waves is simulated by employing a vortex sheet distribution, and the vorticity field generated from the submerged object is discretized using vortex blobs. This method reduces the difficulty in capturing the nonlinear deformation of surface waves, and also concentrates the computational resources in the compact region with vorticity. This numerical model was validated by conducting a set of simulations for irrotational solitary waves and then compared with the results of a relevant research. The comparisons exhibit good agreement. The rotational flows induced by different incident wave height were simulated and analyzed to study the effect of vorticity on the deformation and the breaking of solitary waves.
基金Project supported by the National Natural Science Foundation of China (No. 10572020)
文摘In a two-phase flow, the vortex merging influences both the flow evolution and the particle motion. With the blobs-splitting-and-merging scheme, the vortex merging is calculated by a corrected core spreading vortex method （CCSVM）. The particle motion in the vortex merging process is calculated according to the particle kinetic model. The results indicate that the particle traces are spiral lines with the same rotation direction as the spinning vortex. The center of the particle group is in agreement with that of the merged vortex. The merging time is determined by the circulation and the initial ratio of the vortex radius and the vortex center distance. Under a certain initial condition, a stretched particle trail is generated, which is determined by the viscosity, the relative position between the particles and the vortex, and the asymmetrical circulation of the two merging vortices.
基金Projects supported by the National Natural Science Foundation of China(Grant No.51906154)the National Science and Technology Major Project(Grant No.2017-V-0016-0069)the Natural Science Foundation of Shanghai(Grant No.21ZR1443700).
文摘The spatiotemporal evolution of hairpin vortex structures in a fully developed turbulent boundary layer is investigated qualitatively and quantitatively by using two image methods.In this paper,the moving single-frame and long-exposure(MSFLE)image method is used to intuitively track the evolution process of a hairpin vortex,while the moving particle image velocimetry(moving-PIV)method is applied for obtaining a moving velocity field for quantitative analysis.According to the structural characteristics of the hairpin vortex,an inclined light sheet with an appropriate inclination of 53°is arranged to capture the complete hairpin vortex structure at Re_(θ)=97–194.In addition,the core size and the rotational strength of a hairpin vortex are further defined and quantified by the Liutex vector method.The evolution process of a complete hairpin vortex structure observed by MSFLE shows that the shear along the normal direction leads to an increasing strength of the hairpin vortex,accompanied by a lifting vortex head and a distance decrease between two vortex legs during the dissipation period.By combining moving-PIV with the Liutex identification,the spatiotemporal evolution of four typical regions of a hairpin vortex projecting into a 53°cross-section is obtained.The results show that the process from the generation to the dissipation of a single hairpin vortex can be well characterized and recorded by the Liutex based on the core size and rotational intensity,and the evolution process is consistent with the MSFLE result.According to the statistics of vortex core size and rotation intensity along time,the evolution of the hairpin vortex necks and legs can be described as a process of enhancement followed by dissipation.For the vortex head,its evolution maintains longer attributed to its far-from-wall position,which consists of an absolute enhancement process(stage 1)with an increasing rotation strength and a constant core size,and an absolute dissipation(stage 2)with a decreasing rotation strength and a constant co
基金The National Research Foundation of Korea(NRF-2017-R1A5A1015311 and 2021R1C1C1010198),South Korea.Author information。
文摘Electric vertical take-off and landing(eVTOL)aircraft with multiple lifting rotors or prop-rotors have received significant attention in recent years due to their great potential for next-generation urban air mobility(UAM).Numerical models have been developed and validated as predictive tools to analyze rotor aerodynamics and wake dynamics.Among various numerical approaches,the vortex method is one of the most suitable because it can provide accurate solutions with an affordable computational cost and can represent vorticity fields downstream without numerical dissipation error.This paper presents a brief review of the progress of vortex methods,along with their principles,advantages,and shortcomings.Applications of the vortex methods for modeling the rotor aerodynamics and wake dynamics are also described.However,the vortex methods suffer from the problem that it cannot deal with the nonlinear aerodynamic characteristics associated with the viscous effects and the flow behaviors in the post-stall regime.To overcome the intrinsic drawbacks of the vortex methods,recent progress in a numerical method proposed by the authors is introduced,and model validation against experimental data is discussed in detail.The validation works show that nonlinear vortex lattice method(NVLM)coupled with vortex particle method(VPM)can predict the unsteady aerodynamic forces and complex evolution of the rotor wake.
文摘旋翼/平尾非定常气动干扰是导致直升机纵向"抬头(Pitch-up)"现象的主要原因。为在直升机设计阶段准确分析旋翼/平尾非定常气动干扰以及由此引起的低速纵向操纵特性变化,通过涡量等效原则和Neumann物面边界条件建立了适用于旋翼/平尾气动干扰分析的非定常面元/黏性涡粒子混合法。该方法耦合了考虑尾迹时变效应的非定常面元法、黏性涡粒子法及涡量镜面法,以准确模拟旋翼和平尾的非定常气动载荷、旋翼尾迹的非定常特性以及旋翼尾迹对平尾的气动干扰效应。首先通过计算NASA ROBIN(Rotor Body Interaction)旋翼尾迹几何和诱导速度分布,并与实验测量值、时间精确自由尾迹及CFD计算结果对比验证方法的准确性。相比于时间精确自由尾迹,本文方法计算精度更高。随后分析了旋翼/平尾非定常气动干扰对平尾向下气动载荷和气动导数的影响,并分析了平尾构型对旋翼/平尾非定常气动干扰的影响规律。分析表明:旋翼尾迹与平尾干扰导致低速状态的平尾载荷突增,气动导数反号;低平尾气动载荷突增较大,高平尾较小,但高速气动导数反号;前置平尾载荷突增量减小,但对应速度范围较宽;右旋直升机右平尾载荷突增量较小,但气动导数特性基本不变。
文摘Particle-laden gas flows past a circular cylinder at the Reynolds number of 2×10^(5) were numerically investigated. The Discrete Vortex Method (DVM) was employed to evaluate the unsteady gas flow fields and a Lagrangian approach was applied for tracking individual solid particles. The vortex patterns and the distributions of particles with different Stokes numbers were obtained. Numerical results show that: (1) at small Stokes number (St=0.01) the particles move with the fluid and could be found evenly throughout the flow, (2) the regions around the vortex cores, where few particles exist, become wider as the stokes number of particles increases from 0.01 to 1.0, (3) at middle Stokes number (St=1.0, 10) centrifugal forces throw the particles out of the wake vortices, (4) at high Stokes number (St=100, 1000) the particles are not affected by the vortices,and their motion is determined by their inertia effects.
文摘In this study, coupled equations of the motion of a particle in a fluid forced vortex were investigated using the differential transformation method （DTM） with the Pad6 approximation and the differential quadrature method （DO_M）. The significant contribution of the work is the introduction of two new, fast and efficient solutions for a spherical particle in a forced vortex that are improvements over the previous numerical results in the literature. These methods represent approximations with a high degree of accuracy and minimal computational effort for studying the particle motion in a fluid forced vortex. In addition, the velocity profiles （angular and radial） and the position trajectory of a particle in a fluid forced vortex are described in the current study.
文摘悬停和侧滑状态的直升机主旋翼桨尖涡将穿透尾桨桨尖平面,由此导致尾桨非定常气动载荷发生明显变化。为更准确地模拟由主旋翼/尾桨干扰产生的尾桨非定常气动载荷变化,通过在面元压力项中增加由旋翼桨尖涡诱导的时变项,体现旋翼桨尖涡速度和几何时变对桨叶非定常压力的影响,同时采用涡面镜像法修正涡粒子法的黏性项,确保桨叶附近区域旋翼涡量守恒,建立旋翼尾迹对尾桨叶的非定常气动干扰模型,并耦合面元/黏性涡粒子法,构建直升机主旋翼/尾桨干扰下的尾桨非定常气动载荷分析方法。通过计算AH-1G旋翼桨叶非定常气动载荷特性,并与实验测量值、计算流体力学(CFD)计算结果对比,验证本文非定常气动干扰模型的有效性。随后基于NASA ROBIN(Rotor Body Interaction)模型分析悬停、侧风和60°右侧滑状态主旋翼对尾桨非定常气动载荷的影响,分析表明主旋翼尾迹对尾桨非定常气动载荷影响显著。悬停状态的主旋翼/尾桨干扰导致尾桨拉力平均值下降、非定常气动载荷显著增加;左侧风状态,主旋翼/尾桨干扰削弱尾桨"涡环"程度,显著增加尾桨拉力和非定常气动载荷;60°右侧滑状态,主旋翼/尾桨干扰导致尾桨拉力损失最大,且在低速侧滑状态出现尾桨拉力"迅速恢复"现象,尾桨非定常气动载荷幅值迅速增加。
