Reinitiation process of detonation wave behind a slit-plate

The propagation phenomenon of a detonation wave is particularly interesting, because the detonation wave is composed of a 3D shock wave system accompanied by a reaction front. Thus, the passage of a detonation wave draws cellular patterns on a soot-covered plate. The pressure and temperature behind the detonation wave are extremely high and may cause serious damages around the wave. Therefore, it is of great significance from a safety-engineering point of view to decay the detonation wave with a short distance from the origin. In the present study, experiments using high-speed schlieren photography are conducted in order to investigate the behaviors of the detonation wave diffracting from two slits. The detonation wave produced in a stoichiometric mixture of hydrogen and oxygen is propagated through the slits, and the behaviors behind the slit-plate are investigated experimentally. When a detonation wave diffracts from the slits, a shock wave is decoupled with a reaction front. Since the two shock waves propagate from the slits interact with each other at the center behind the plate, the detonation wave is reinitiated by generating a hot-spot sufficient to cause local explosions. Furthermore, it is clarified that the shock wave reflected from a tube-wall is also capable of reinitiating the detonation wave. The reinitiation distance of the detonation wave from the slit-plate is correlated using a number of cells emerged from each slit.      

Laboratory study on the evolution of waves parameters due to wave breaking in deep water

Understanding of the occurrence of the wave breaking, the process of the wave breaking and evolution of waves after they break in deep water is crucial to simulate the growth of wind wave in ocean. In this study, deep-water breaking waves with various spectral types, center frequencies and frequency bandwidths are generated in a wave flume based on energy focusing theory. The time series of the wave surface elevation along the flume are obtained by 22 wave probes mounted along the central line of the flume. The characteristics of deep-water wave breaking are analyzed using the spectrum analysis based on the Fast Fourier Transform (FFT). For small center frequency the maximum height of wave surface generated using the Pierson–Moskowitz (P–M) spectrum is produced and the impact of the frequency width is small in wave breaking zone. While the spectral type has a significant impact on the local wave steepness during breaking, the influence of center frequency and frequency width on the local wave steepness is very weak. The significant wave steepness changes significantly after wave breaking, but it remains stable in the upstream or the downstream of wave breaking zone. After wave breaking, the peak frequency remains stable, but the spectrally weighted wave frequency changes significantly. The relationship between the level of downshift and the incident wave steepness is approximately linear. By analyzing the energy spectra, it is found that the energy loses near high frequency of controlling frequencies range and increases near peak frequency during the wave breaking. After wave breaking, the total energy dissipates remarkably with increasing breaking intensity.     

Boussinesq方程的发展形式与Airy波理论差异性研究

应用势流理论，采用递推函数方法推导出一个新形式的Ｂｏｕｓｉｎｅｓｑ方程。通过对新方程的参数设置，可以讨论出Ｂｏｕｓｓｉｎｅｓｑ方程发展趋势和不同的发展形式。对浅水波动的描述方程，Ｂｏｕｓｓｉｎｅｓｑ方程的发展趋势为适用水深范围的拓展。拓展应用范围的大小则由其方程频散特征向Ａｉｒｙ波频散解逼近程度来决定。而Ｂｏｕｓｉｎｅｑ方程又不同于Ａｉｒｙ波，主要原因是Ｂｏｕｓｓｉｎｅｓｑ方程中含有线性频散项，Ａｉｒｙ波则只是长波首项近似，无线性频散项。其频散特征为精确的线性频散解。对实际水波传播而言，Ａｉｒｙ波理论的局限性是不言而喻的。     

Formation of blast waves as a result of a low pressure domain decomposition

In this article the formation and propagation of blast wave as a result of a focusing of shock wave in a domain with low pressure and density are examined in the frame of an ideal gas model. We consider the decomposition of a pressure-density discontinuity on the boundary of the spherical (or cylindrical) domain which is filled by a gas whose pressure and density are lower than the pressure and density of gas that filling the external space. At initial moments of this decomposition the rarefaction wave propagates in the external space and the converging shock wave is formed in the domain of low pressure and density. The intensity of the converging shock wave gradually increases, and the wave transitions to the self-similar regime. After implosion, a diverging shock wave is formed which propagates through the disturbed gas. The values of wave intensity, wave impulse and other parameters for some magnitudes of initial parameters have been determined by means of numerical calculations. Received 10 August 1997 / Accepted 13 July 1998     

A non-reflective spectral wave maker for SPH modeling of nonlinear wave motion

A momentum source function derived from the linear wave theory is introduced into the weakly compressible smoothed particle hydrodynamic (SPH) model for the long-time simulation of regular and irregular wave generation problems. Wave absorption is realized by adding a velocity attenuation term into the governing momentum equation. The performances of the wave maker are tested under different wave conditions. The wave maker is then applied to the study of the challenging processes, such as random wave breaking on the reef-face or the reef-crest, wave setup and spectral transfer of wave energy from the peak frequency to lower frequencies over the reef-flat. The predicted results are compared with the experimental data and a good agreement is obtained. The SPH model with a non-reflective spectral wave maker can be used as a practical tool for studying wave interaction with coastal structures.     

基于P-M谱的波浪荷载数值模拟及其对跨海斜拉桥的冲击响应规律研究

针对深水桥梁在海洋中面对波浪的冲击问题,以某跨海斜拉桥为例,设定P-M谱为目标谱,依据Welch算法对海浪功率谱进行验证,基于以上理论采用fluent软件建立数值波浪水槽,根据重现期为10年、50年和100年分别计算对应的波高为6.4 m,7.2 m和9.6 m的波浪力,并将波浪力导入斜拉桥进行动力响应计算。综合分析大桥的动力响应, 结果表明,(1) 纵桥向波浪力是由横桥向波浪冲击桥墩出现绕射效应而产生,所以斜拉桥所受横桥向波浪力远大于纵桥向波浪力;(2) 随着波高的增大,斜拉桥的动力响应峰值逐渐增大,主跨跨中和塔顶动力响应峰值随波高的增长率最快,次边跨跨中动力响应峰值随波高的增长率次之,边跨跨中动力响应峰值随波高的增长率最慢;(3) 随着波浪荷载的增大,塔顶横向位移响应增幅显著,塔顶位移响应峰值最大达到0.0598 m。相关研究对大跨度深水桥梁的设计和动力分析有一定的参考意义。     

环缝宽度对旋转爆震发动机工作特性的影响

为研究环缝宽度对旋转爆震发动机(rotating detonation engine, RDE)工作特性的影响,在非预混RDE中进行实验,同时采用高频压力传感器、离子探针和高速摄影等测量设备,在同一入口质量流率的条件下,改变空气进气环缝宽度和燃烧室环缝宽度。获得了单波、双波、四波对撞及混合传播模态;当燃烧室环缝宽6 mm时,增加空气进气环缝宽度,爆震波由四波对撞转变为同向双波,最终以单波形式传播;而燃烧室环缝宽10或15 mm时,空气进气环缝宽度对爆震波传播模态的影响较小;此外,四波对撞模态下,爆震波压力峰值和离子信号峰值低于单波和双波模态时的值。     

Reflection and transmission of internal solitary waves across a barrier

Transmission and reflection of an internal solitary wave on a two-layer fluid as it encounters a barrier is considered. An edgelayer theory is used to derive the reduced boundary conditions relevant to the shallow-water equations. It is found that for a moderate height of the barrier the incident wave is not affected except by being phase shifted. On the other hand, for a relatively high barrier the incident wave splits into a transmitted wave and a reflected wave. The reflected wave evolves into a small soliton with decaying ripples, and the transmitted wave evolves into a larger soliton and an oscillating tail.     

Dispersion of Small Amplitude Waves in a Pre-Stressed, Compressible Elastic Plate

The dispersion of harmonic waves, propagating along a principal direction in a pre-stressed, compressible elastic plate, is investigated in respect of the most general isotropic strain-energy function. Different cases, dependent on the choice of material parameters and pre-stress, are analysed. A complete long and short wave asymptotic analysis is carried out, with the approximations obtained giving phase speed (and frequency) as explicit functions of wave and mode number. Various wave fronts, both associated with the short wave limit of harmonics and arising through the combination of harmonics in a narrow wave speed region, are discussed. It is mentioned that the case of high compressibility is of particular interest. In contrast with the classical (un-strained) case, the longitudinal body wave speed may be less than the corresponding shear wave speed. In consequence, the short wave limit of all harmonics may be the appropriate longitudinal wave speed; contrasting with the classical case for which this limit is necessarily associated with a shear wave front. A further possible short wave limit is also shown to exist for which the associated wave normal has a component in the direction normal to the plate. Particularly novel numerical results are presented when the longitudinal and shear wave speeds are equal. The analysis is illustrated by numerical calculations for various strain-energy functions.     

BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS FOR GENERALIZED DRINFELD-SOKOLOV EQUATIONS

Ansatz method and the theory of dynamical systems are used to study the traveling wave solutions for the generalized Drinfeld-Sokolov equations. Under two groups of the parametric conditions, more solitary wave solutions, kink and anti-kink wave solutions and periodic wave solutions are obtained. Exact explicit parametric representations of these travelling wave solutions are given.     

Propagation of Rayleigh waves on curved surfaces

The propagation and properties of Rayleigh waves on curved surfaces are investigated theoretically. The Rayleigh wave dispersion equation for propagation on a curved surface is derived as a parabolic equation, and its penetration depth is analyzed using the curved surface boundary. Reciprocity is introduced to model the diffracted Rayleigh wave beams. Simulations of Rayleigh waves on some canonical curved surfaces are carried out, and the results are used to quantify the influence of curvature. It is found that the velocity of the surface wave increases with greater concave surface curvature, and a Rayleigh wave no longer exists once the surface wave velocity exceeds the bulk shear wave velocity. Moreover, the predicted wave penetration depth indicates that the energy in the Rayleigh wave is transferred to other modes and cannot propagate on convex surfaces with large curvature. A strong directional dependence is observed for the propagation of Rayleigh waves in different directions on surfaces with complex curvatures. Thus, it is important to include dispersion effects when considering Rayleigh wave propagation on curved surfaces.     

气相爆轰波冲击气固界面的透反射特性

为了研究气相爆轰波冲击气固界面过程中透射波和反射波的相关特性,建立爆轰波冲击气固界面的一维理论模型,对不同初始压力条件下爆轰波到达气固界面后的界面两侧的压力和界面速度变化进行分析。利用时空守恒元求解元方法对气相爆轰波冲击气固界面过程进行数值模拟,分析气体部分反射波的压力分布和速度变化规律及透射入固体中应力波的波形和波速特征,并搭建气相爆轰波冲击活塞实验装置进行进一步验证。结果表明:气体爆轰波到达气固界面后,在固体中透射指数形式的弹性波,并在界面处向气体区反射一道激波。爆轰波后的稀疏波与反射激波相交,削弱反射激波,最终形成稳定激波回传。气固界面在稀疏波和反射稀疏波的作用下,压力和速度逐渐下降,最终也形成稳定状态。在不同混气初始压力情况下,爆轰波冲击过程中产生的最高压力和爆压的比值基本保持不变。理论模型对特征点相关物理量的计算值和实验数据符合的较好。     

Structure of wave front and organization center in excitable media

With help of establishing the moving coordinate on the wave front surface and the perturbation analysis in the boundary layer, the structures of wave front and organization center in excitable media were studied. The eikonal equation of wave front surface and general equation of organization center were obtained. These eikonal equations reveal the wave front surfaces have structures of twisted scroll wave and MObius band, the organization centers have structures of knotted and linked ring. These theoretical results not only explain the wave patterns of BZ (Belousov-Zhabotinskii) chemical reaction but also give several possibility structures of wave front surface and organization center in general excitable media.     

舱内爆炸角隅汇聚反射冲击波超压特性研究

为研究密闭舱室内爆角隅汇聚反射冲击波超压特性,利用缩比模型进行了某典型舱室内爆试验,得到远离角隅、两面角隅和三面角隅处的冲击波载荷,结合数值模拟研究了3种特征位置处冲击波传播规律及载荷特征。研究结果表明:远离角隅处壁面反射冲击波超压曲线呈现单峰结构,反射冲击波以球面波传播;距两面角隅一定范围内冲击波超压曲线呈现双峰结构,两面角隅冲击波超压曲线呈现单峰结构,角隅汇聚反射冲击波以椭球状传播;距三面角隅一定范围内冲击波超压曲线呈现多峰结构,三面角隅冲击波超压曲线呈现单峰结构,角隅汇聚反射冲击波以球面波传播;在合理假设条件下,根据量纲分析及数值模拟结果,得到首次冲击时角隅汇聚反射冲击波载荷经验计算公式。     

垂直断层破碎带对Rayleigh波传播与场地地震动反应的影响

采用基于时域粘弹性人工边界的Rayleigh波输入方法,对具有不同宽度、不同剪切波速的垂直断层破碎带的场地进行了Rayleigh波作用下的动力时程反应分析,研究了垂直断层的宽度与剪切波速变化对Rayleigh波传播及场地地震动反应的影响。计算结果表明:在Rayleigh波入射一侧的中远场地表面,断层宽度与剪切波速的变化对地面峰值位移反应影响很小;在Rayleigh波入射一侧的断层角点以及距角点较近处,随着断层宽度的增大或剪切波速的减小,峰值位移反应均增大;在另一侧中远场地面的峰值位移反应随着断层宽度的增大或剪切波速的减小而减小,且水平位移峰值减小的程度略大于竖向位移峰值。由此可以看到,软弱的断层破碎带对通过的Rayleigh波有削弱作用,且破碎带越宽或剪切波速越小削弱作用越明显。     

波浪与外壁开孔双筒柱群的相互作用

应用速度势的特征函数展开和透空壁内两壁间压力差和流体速度成正比的线性模型,建立 了波浪与外壁开孔同轴双筒桩柱群相互作用的线性解析解. 应用这一模型进行了数值计算, 用以检验孔隙系数对双筒柱上的波浪力和波面高度的影响. 结果表明,外壁孔隙系数的增加 对减小波浪力和柱外波面高度有很大影响.     

Distortion of the Wave Profiles in an Elastoplastic Body upon Spalling

The distortion of wave profiles in measuring the spall strength of elastoplastic materials is analyzed. An expression for the velocity of an elastic compression wave that overtakes a plastic rarefaction wave is obtained. It is shown that, depending on the ratio between the stress gradients in the plastic rarefaction wave and the overtaking compression wave, the front velocity of the compressive wave varies in the limits between the velocities of the longitudinal perturbations and the perturbations of volume expansion or compression.     

简化Holmboe分层流体密度剖面的形成及其内波实验

本研究在内波水槽中形成了具备Ｈｏｌｍｂｏｅ模式基本特征的密度剖面，在此流场中成功地进行了第一模态单板造波内波实验，并进而对半板造波的方案给予了分析和检验。     

Hydroelastic analysis of gravity wave interaction with submerged horizontal flexible porous plate

The present study deals with the surface gravity wave interaction with submerged horizontal flexible porous plate under the assumption of small amplitude water wave theory and structural response. The flexible porous plate is modeled using the thin plate theory and wave past porous structure is based on the generalized porous wavemaker theory. The wave characteristics due to the interaction of gravity waves with submerged flexible porous structure are studied by analyzing the complex dispersion relation using contour plots. Three different problems such as (i) wave scattering by a submerged flexible porous plate, (ii) wave trapping by submerged flexible porous plate placed at a finite distance from a rigid wall and (iii) wave reflection by a rigid wall in the presence of a submerged flexible porous plate are analyzed. The role of flexible porous plate in attenuating wave height and creating a tranquility zone is studied by analyzing the reflection, transmission and dissipation coefficients for various wave and structural parameters such as angle of incidence, depth of submergence, plate length, compression force and structural flexibility. In the case of wave trapping, the optimum distance between the porous plate and rigid wall for wave reflection is analyzed in different cases. In addition, effects of various physical parameters on free surface elevation, plate deflection, wave load on the plate and rigid wall are studied. The present approach can be extended to deal with acoustic wave interaction with flexible porous plates.     

氢燃料缓燃向爆震转捩过程中波与火焰的匹配特性

为了解氢燃料爆震过程中压力波与火焰之间相互匹配的特性,在60mm60mm2000mm 方 爆震管内,用氢气和空气混合物进行了单爆震性能研究。在爆震转捩区内布置压力传感器与离子探针,用来 监控压力波和火焰的信号,同时利用高速摄影仪集中拍摄转捩区域。根据压力波和火焰面在爆震管不同时刻 的强度特性、速度特性及位置特性来分析爆震过程中波与火焰匹配的规律。结果表明:压力波和火焰的强度 呈现为相互正反馈匹配性质;缓燃向爆震转捩(DDT)过程中,压力波和火焰的速度表现为相互交替的变化过 程,且缓燃阶段中火焰速度的增幅大于压力波速度的增幅;当火焰面追赶上激波时,产生过爆,火焰面会临时 位于激波前面;在过爆衰减为正常爆震波的过程中,激波在火焰前面。