Theoretical and experimental study of waves propagating along the edge of a wedge

The properties of a surface acoustic wave moving along the edge of an elastic wedge are studied. The equations defining the character of the wave motion under consideration are obtained. A method is proposed to determine field parameters that adequately describe the experimentally confirmed acoustic phenomena taking into account the characteristics of wave propagation in the wedge-shaped region. The results of the theoretical study are compared with experimental data obtained on an original device used to determine displacements in small surface areas.     

On the separation of a suspension in a tube centrifuge: critical comments on theoretical models and experimental verifications

Summary We consider the batch centrifugal separation of a suspension of heavy particles in a cylindrical tube which rotates about an axis perpendicular to the axis of the tube. The theoretical analysis by means of a kinematic approximation covers two models: (1) the one-dimensional, which assumes that the particles settle along lines parallel to the sidewalls of the tube and sediment on the outer wall, and (2) the two-dimensional, which assumes that the particles settle along the centrifugal-field lines and sediment on both sidewalls and outer wall. A comparison shows that both models produce similarly simple formulas for the motion of the interface and the volume fraction as functions of time. However, the two-dimensional model is recommended for use because its results and insights are more reliable from both mathematical and physical considerations, and provide a more acceptable interpretation to recent experimental data, [5]. The author wishes to thank Prof. W. Schneider for stimulating discussions on the subject. The research was partially supported by the the Technion Fund V.P.R Fund – New York Metropolitan Research Fund.     

Experimental study of flame driving function in an acoustically excited duct with anchored flames

This research experimentally investigates the flame driving function in an acoustically excited vertical duct with a laminar, premixed flame anchored on a grid. The flame driving function is determined from the measured acoustic intensity upstream and downstream of the flame zone, which relates both the acoustic velocities and pressures on either side of the flame zone. Results of this research reveal that the location of the flame zone on the acoustic field plays the main role in determining the sign and magnitude of the flame driving function. The flame equivalence ratio plays a role only in the magnitude of the flame driving function. This study also shows that the characteristics of the flame driving function can be qualitatively predicted by knowing the imaginary part of nonreactive acoustic admittance at the flame location. Received: 20 September 2000/Accepted: 15 May 2001     

Experimental and theoretical study of penetration of spherical solids into wet sand

Results of a series of inverted laboratory experiments on the normal impact of spherical bodies onto targets made of wet sand (with humidity of 10%) and water-saturated sand (with humidity of 18–20%) placed into cylindrical metallic containers are reported. Experimental data are compared with results calculated by a modified Godunov difference method. Changes in the forces of resistance to penetration at different stages of the impact interaction process are analyzed, and the influence of humidity and granulometric composition of sand on the maximum values of forces at different impact velocities is studied. The maximum force of resistance for sand with 20% humidity is found to be smaller by a factor of 1.5–2 than that for dry sand.     

Experimental analysis of flashback in lean premixed swirling flames: upstream flame propagation

Simultaneous 10-kHz OH-PLIF and 20-kHz two-component PIV were made in conjunction with wide-field 20-kHz flame luminescence imaging of an unconfined, swirling, lean premixed, bluff-body stabilized flame during flashback. Flashback was induced by increasing the stoichiometry or swirl number or reducing the Reynolds number. A detailed stability regime was prepared and compared to predictions. Analysis of the time-correlated flame history inside the exit nozzle during flashback and non-flashback flame events led to a new hypothesis for the flashback mechanism.     

A numerical/experimental study of the dynamic structure of a buoyant jet diffusion flame

An overview of a joint numerical/experimental investigation of the dynamic structure of a low-speed buoyant jet diffusion flame is presented. The dynamic interactions between the flame surface and the surrounding fluid mechanical structures are studied by means of a direct numerical simulation closely coordinated with experiments. The numerical simulation employs the full compressible axisymmetric Navier-Stokes equations coupled with a flame sheet model. Counterrotating vortex structures both internal and external to the flame surface are seen to move upward along with flame sheet bulges. These buoyancy-driven dynamic features compare well with those observed experimentally by means of phase-locked flow visualizations over entire flame-flickering cycles. The flicker frequencies measured both computationally and experimentally also compare well. Other aspects of this investigation which are discussed include sudden jumps in flicker frequency with increasing coflow velocity and the utilization of background pressure changes to simulate gravitational force variations experimentally.     

An experimental and theoretical study of converging polygonal shock waves

An experimental investigation was carried out to explore the possibility of producing converging polygonal shocks in an essentially two-dimensional cavity. Previous calculations by Apazidis and Lesser (1996) suggested that such configurations could be produced by reflecting a cylindrical outgoing shock from a smoothly altered circular boundary, the alteration having n-gonal symmetry. In the experiments the outgoing shock was produced by a spark discharge which yielded shocks in the Mach number range from 1.1 to 1.7 at a radius just prior to the reflection. Polygonal shocks were observed as predicted by using a modified form of geometrical shock dynamics, derived in the above paper. In addition, the modified theory was used to calculate the results of an experiment carried out by Sturtevant and Kulkarny (1976). The results of the numerical calculations were found to be in substantial agreement with both experiments, suggesting that the modifications in geometrical shock dynamics for non-uniform flow ahead of an advancing shock are useful in the case of shock focusing. The experiment also showed that the polygonal shapes were stable in the examined range of shock Mach numbers, a result that may be of importance for a number of practical situations in which shock focusing is present. Received 9 October 2001 / Accepted 7 January 2002 – Published online 11 June 2002     

Dynamic analysis of piezoelectric energy harvester under combination parametric and internal resonance: a theoretical and experimental study

In this work, theoretical and experimental analysis of a piezoelectric energy harvester with parametric base excitation is presented under combination parametric resonance condition. The harvester consists of a cantilever beam with a piezoelectric patch and an attached mass, which is positioned in such a way that the system exhibits 1:3 internal resonance. The generalized Galerkin’s method up to two modes is used to obtain the temporal form of the nonlinear electromechanical governing equation of motion. The method of multiple scales is used to reduce the equations of motion into a set of first-order differential equations. The fixed-point response and the stability of the system under combination parametric resonance are studied. The multi-branched non-trivial response exhibits bifurcations such as turning point and Hopf bifurcations. Experiments are performed under various resonance conditions. This study on the parametric excitation along with combination and internal resonances will help to harvest energy for a wider frequency range from ambient vibrations.

     

球形容器内甲烷-空气爆炸特性分析与理论计算

为研究甲烷-空气混合物在密闭球形容器内的爆炸特性,首先利用化学平衡计算软件确定合适的燃烧产物与化学平衡温度,估算甲烷-空气混合物的最大爆炸压力。然后基于火焰增长模型,用MATLAB编辑循环语句程序,计算了甲烷-空气混合气体爆炸的压力时程曲线,通过与实验数据对比,验证了化学平衡软件计算方法与火焰增长模型的可行性,并分析了误差的产生原因。进而利用火焰增长模型推出的经验公式计算爆燃指数,发现在当量比附近与实验结果拟合程度较好。     

泡沫铝材料准静态本构关系的理论和实验研究

应用Chen和Lu提出的适用于可压缩弹塑性固体的唯象本构模型框架，建立了泡沫铝的准静态本构模型，推导了三维等比例加载和环向受约束轴向加载下的宏观应力-应变曲线. 对两种泡沫铝材料(开孔和闭孔)进行了4类准静态试验，即单轴压缩、三维静水压缩、三维等比例压缩和侧向受约束轴向压缩实验. 利用单轴压缩和三维静水压缩的实验结果得到了泡沫铝材料的本构参数曲线，并由此预测它在三维等比例压缩和侧向受约束轴向压缩情况下的响应. 理论预测与相应实验结果相比较，三维等比例压缩的结果比较吻合，但与侧向受约束轴向压缩的结果却相差很大. 分析表明，理论预测与侧向受约束轴向压缩实验结果的偏差是由于泡沫铝试件与约束筒之间的摩擦造成的. 研究结果说明, Chen-Lu模型能够很好地描述泡沫铝材料在压缩占主导的应力状态下的响应.     

A theoretical and experimental investigation of a three-degree-of-freedom structure

The response of a structure to a simple-harmonic excitation is investigated theoretically and experimentally. The structure consists of two light-weight beams arranged in a T-shape turned on its side. Relatively heavy and concentrated weights are placed at the upper and lower free ends and at the point where the two beams are joined. The base of the T is clamped to the head of a shaker. Because the masses of the concentrated weights are much larger than the masses of the beams, the first three natural frequencies are far below the fourth; consequently, for relatively low frequencies of the excitation, the structure has, for all practical purposes, only three degrees of freedom. The lengths and weights are chosen so that the third natural frequency is approximately equal to the sum of the two lower natural frequencies, an arrangement that produces an autoparametric (also called an internal) resonance. A linear analysis is performed to predict the natural frequencies and to aid in the design of the experiment; the predictions and observations are in close agreement. Then a nonlinear analysis of the response to a prescribed transverse motion at the base of the T is performed. The method of multiple scales is used to obtain six first-order differential equations describing the modulations of the amplitudes and phases of the three interacting modes when the frequency of the excitation is near the third natural frequency. Some of the predicted phenomena include periodic, two-period quasiperiodic, and phase-locked (also called synchronized) motions; coexistence of multiple stable motions and the attendant jumps; and saturation. All the predictions are confirmed in the experiments, and some phenomena that are not yet explained by theory are observed.     

An experimental study of the effects of pitch-pivot-point location on the propulsion performance of a pitching airfoil

An experimental investigation was conducted to characterize the evolution of the unsteady vortex structures in the wake of a pitching airfoil with the pitch-pivot-point moving from 0.16C to 0.52C (C is the chord length of the airfoil). The experimental study was conducted in a low-speed wind tunnel with a symmetric NACA0012 airfoil model in pitching motion under different pitching kinematics (i.e., reduced frequency k=3.8–13.2). A high-resolution particle image velocimetry (PIV) system was used to conduct detailed flow field measurements to quantify the characteristics of the wake flow and the resultant propulsion performance of the pitching airfoil. Besides conducting “free-run” PIV measurements to determine the ensemble-averaged velocity distributions in the wake flow, “phase-locked” PIV measurements were also performed to elucidate further details about the behavior of the unsteady vortex structures. Both the vorticity–moment theorem and the integral momentum theorem were used to evaluate the effects of the pitch-pivot-point location on the propulsion performance of the pitching airfoil. It was found that the pitch-pivot-point would affect the evolution of the unsteady wake vortices and resultant propulsion performance of the pitching airfoil greatly. Moving the pitch-pivot-point of the pitching airfoil can be considered as adding a plunging motion to the original pitching motion. With the pitch-pivot-point moving forward (or backward), the added plunging motion would make the airfoil trailing edge moving in the same (or opposite) direction as of the original pitching motion, which resulted in the generated wake vortices and resultant thrust enhanced (or weakened) by the added plunging motion.     

某型飞机机翼前缘抗鸟撞结构设计与试验验证

针对某型飞机机翼前缘抗鸟撞性能不满足适航要求的问题,采用"数值仿真-试验验证-再仿真"的研究思路,对该结构进行了抗鸟撞优化设计。首先,通过有限元数值仿真,分别对具有三角板结构和前墙结构的两种新型前缘结构抗鸟撞能力进行了分析。仿真结果表明:具有前墙结构的机翼前缘抗鸟撞能力优于原始结构和带三角板结构的机翼前缘;在鸟撞过程中,这种具有前墙结构的机翼前缘通过利用破损蒙皮继续变形吸能的方式提高了结构的抗鸟撞性能。基于此,对带前墙结构的机翼前缘进行了抗鸟撞试验,一方面验证了数值模拟方法的准确性,另一方面验证了前墙结构的抗鸟撞效果。最后,采用数值仿真方法对带前墙结构的机翼前缘结构进行了参数分析,得到了前缘蒙皮厚度和前墙厚度与结构抗鸟撞性能的关系,并基于结构承载和抗鸟撞能力的综合要求,确定了最终结构参数。分析表明,优化后的机翼前缘结构不仅满足抗鸟撞要求,而且实现结构减重30%。     

On the experimental study of the flow around a fishing net

Selectivity of fishing gears like trawls is obviously conditioned by the fish behaviour but also by the net and the flow. As well, flow may affect fish behaviour. With the aim of a better understanding of the flow in presence of a net and a catch, we suggest, through the experimental study below, to determine and to analyze the flow over a rigid cod-end in two configurations: with a closed and an open net entrance. Trials took place in a free surface flume tank and the flow characteristics were determined from velocity measurements obtained by laser velocimetry (inside, outside and through the meshes of the stiff cod-end). The experimental device, the measures and their analyzes are given here.     

Experimental and numerical studies on interactions of a spherical flame with incident and reflected shocks

Observations are presented from experiments and calculations where a laminar spherical CH4/air flame is perturbed successively by incident and reflected shock waves. The experiments are performed in a standard shock tube arrangement, in which a high-speed shadowgraph imaging system is used to record evolutions of the flame. Numerical simulations are conducted by using second-order wave propagation algorithms, based on two-dimensional axisymmetric Navier-Stokes equations with detailed chemical reactions. Qualitative agreements are obtained between the experimental and numerical results. Under actions of incident shock waves, Richtmyer-Meshkov instability responsible for the flame deformation is induced in the flame, and the distoned flame takes a barrel shape. Then, under subsequent actions of the shock wave reflected from a planar wall, the flame takes an inclined non-symmetrical kidney shape in a symmetric cross section, which means a mushroom-like shape of the flame comes finally into being. The vorticity direction in the ring cap has been altered by the reflected shock＇s action, which makes the head of the mushroom-like flame extend quickly to the side wall.     

A theoretical and experimental study on flow characterisation in an acoustically excited chamber

Flame–acoustic wave interactions have been studied widely in the combustion community; however the whole physicochemical mechanism is still not clear. The present research aims to analyse the acoustic model inside an enclosed combustion chamber and to gain more detailed data to further study flame/acoustic interactions theoretically. The acoustic coupling can be calculated by using linear acoustic equations. The theoretical acoustic model has been developed to analyse the acoustic response for the present square tube and acoustical system. A good agreement between experimental measurements and theoretical predictions were proved by measuring the pressure and velocity fields of acoustic wave. The first four measured harmonic frequencies match well with theoretical prediction. The measured acoustic pressure node and anti-node region were also the same as theoretical prediction. However, due to the neglect of pressure drop loss in the upper end of the tube, the theoretical prediction data was from 23% to 43.3%, higher than that of the experimental measurements.     

Shadowgraph observations of the transition of the thermal boundary layer in a side-heated cavity

The transition of the thermal boundary layer from start-up to a quasi-steady state in a side-heated cavity is observed using a shadowgraph technique. Three stages of the transition, including an initial growth stage, an entrainment development stage and a quasi-steady stage, are demonstrated. A significant feature of the transition revealed from the present flow visualisation is the formation of a double-layer structure along the sidewall at the entrainment development stage. It is believed that the reverse flow in the double-layer structure is the likely cause responsible for the unstable travelling waves at the quasi-steady state.     

Understanding migratory flow caused by helicoid wire spacers in rod bundles: An experimental and theoretical study

The core of a Liquid Metal Fast Breeder Reactor (LMFBR) consists of cylindrical fuel rods that are wrapped by a helicoidally-wound wire spacer to enhance mixing and to prevent damage by fretting. It is known that the liquid metal close to the rod is forced to follow the wires, and that liquid metal further away from the rod crosses the wires (called: migratory flow). This work aims at gaining more insight into the physics behind migratory flow and to provide a model for its bending angle. To this purpose, the flow field in a 7-rods, wire-wrapped, hexagonal bundle with water is studied within the Reynolds number range of 4990–16330 by using Particle Image Velocimetry (PIV). Refraction of the light is minimized by using Fluorinated Ethylene Propylene (FEP), which is a refractive index-matching (RIM) material. These measurements confirm that liquid near the rod follows the helicoid path and bends cross-wise with respect to the wire further away from the rod. A theoretical model for the bending angle of the flow is derived from the Euler equations and shows that the bending is primarily caused by the pressure gradient field induced by the wire. The model shows a very good correspondence with the experimentally obtained PIV data. These findings improve our understanding of the physics at play in rod bundle flows with wrapped wires and can be of assistance in developing practical correlations for frictional pressure losses and heat transfer in such bundles.     

A theoretical analysis of angular deformation and local stresses in spherical vessels

In this paper several geometrical relations of angular deformation and the analytical expressions of local stresses in spherical vessels are established with the analytical method. A concise and practical formula for calculating the stress concentration coefficient is derived, which shows that the stress concentration is related to angular deformation and increases with an increases of the square root of the ratio of radius to thickness.