Two-cell detonation: losses effects on cellular structure and propagation in rich H2–NO2/N2O4–Ar mixtures

Detonation experiments in H₂–NO₂/N₂O₄–Ar mixtures (Equivalence ratio 1.2 and initial pressure lower than 0.1 MPa) confined in a tube of internal diameter 52 mm reveal two propagation regimes depending on initial pressure: (1) a quasi-CJ regime is observed along with a double cellular structure at high pressures; (2) at lower pressures, a low velocity detonation regime is observed with a single structure. Transition between this two regimes happens when the spinning detonation of the larger cell vanishes. Each detonation regime is characterized by velocity and pressure measurements and cellular structure records. Coherence between all experimental data for each experiment leads in assumption that losses are responsible for the transition between one regime to another. In a second part, we study such behaviour for a two-step mixture through numerical simulations using a global two-step chemical kinetics and a simple losses model. Numerical simulations qualitatively agree with experiments. Both detonation regimes with their own cellular structures are reproduced.     

C2H2-O2-Ar和C2H2-N2O-Ar直接起爆形成爆轰的临界能量

采用高压电点火进行直接起爆形成爆轰,起爆能量通过放电过程中电流的输出信号确定。首先通 过实验测定并对比C2H2-O2-Ar和C2H2-N2O-Ar等2种混合物在各种初始状态下直接起爆形成爆轰的临界 起爆能量。实验结果表明,在相同状态下C2H2-N2O-Ar混合物的临界起爆能量显著高于C2H2-O2-Ar混合 物的。进一步基于各物质爆炸特征长度和爆轰临界管径的参量关系对临界起爆能量差异性进行分析,得到了 C2H2-N2O-Ar混合气体的爆轰临界管径预测曲线,并在此基础上得出C2H2-N2O-Ar混合物爆炸特征长度 与临界管径的关系为r0=2.5dc,而C2H2-O2-Ar两者关系为r0=2dc。结果清晰地表明,使用N2O 作为氧化 剂,爆炸特征长度与爆轰临界管径之间的比例因数增大,表明该物质直接起爆形成爆轰所需的起爆源单位能 量增大,因而直接形成爆轰的临界能量相应提高。     

Preparation of nano-sized Al2O3–2SiO2 powder by sol–gel plus azeotropic distillation method

Nano-sized amorphous Al₂O₃–2SiO₂ powder was prepared by a sol–gel method coupled with azeotropic distillation. The structure of the powder was investigated by DTS, BET, TEM, FT-IR, TG-DTA and XRD, showing that n-butanol azeotropic distillation could effectively remove water from the aluminosilicate gels and prevent the formation of hard agglomerates in the drying process. The average particle diameter of the powder was about 70 nm. The largest BET specific surface area of the powder was 669 m²/g. To examine the alkali-activation reactivity of the powder, alkali-activation tests were performed with the powder reacting with sodium silicate solution. The synthetic powder was found to be highly reactive.     

C2H4-O2混合气体直接起爆的临界能量

主要基于化学动力学和Ng模型,对C2H4-O2混合气体的爆轰胞格尺寸进行预测;结合Lee表面积能量模型,预测物质在不同初始压力和化学当量比的条件下,直接起爆引起球面爆轰的临界起爆能量。直接起爆实验主要采用高压电点火提供起爆能量,起爆能量通过放电过程中电流的输出信号确定。结果表明,理论预测与实验值较吻合。首先,通过化学动力学计算得出ZND模型的爆轰参数,利用Ng模型得出爆轰胞格尺寸与ZND诱导区长度之间的比例因数A在不同初始压力与当量比的条件下分别为:A=43.815(1+p1/p0)-0.123 71和A=8.531exp(φ/3.135)+28.644,在此基础上对爆轰胞格尺寸进行定量预测。胞格尺寸的理论预测与实验结果吻合。其次,把爆轰胞格尺寸作为中间特征参数并结合Lee的表面积能量模型,提出可以预测临界起爆能量的定量模型,并得出C2H4-O2混合气体直接起爆的临界起爆能量与初始压力和化学当量比的参量拟合关系分别为Ec=0.332(p1/p0)-2.017和Ec=exp[3.951(φ-1.401)2-1.9]。     

Preparation of ternary Cr2O3–SiC–TiO2 composites for the photocatalytic production of hydrogen

Novel ternary Cr₂O₃–SiC–TiO₂ composites were synthesized by implanting Cr³⁺ into SiC–TiO₂ via sol–gel and impregnation approaches. The results from X-ray diffraction, scanning electron microscopy and transmission electron microscopy show that the Cr³⁺ species were doped onto the surface of the SiC–TiO₂ carrier. The diffuse reflectance ultraviolet–visible absorption spectra revealed that the absorption edges of the ternary Cr₂O₃–SiC–TiO₂ composites were gradually shifted red with increasing chromium content. The luminescence intensities of the composites decreased with increasing doped Cr³⁺ content due to the reduction in the number of recombination sites of electron–hole pairs. The ternary Cr₂O₃–SiC–TiO₂ composites showed high hydrogen-producing activities, which probably results from the formation of donor levels of the Cr³⁺ species in the forbidden band of the SiC semiconductor.     

Validation of a 2-D semi-coupled numerical model for fluid–structure–seabed interaction

A 2-D semi-coupled model PORO-WSSI 2D (also be referred as FSSI-CAS 2D) for the Fluid-Structure-Seabed Interaction (FSSI) has been developed by employing RANS equations for wave motion in fluid domain, VARANS equations for porous flow in porous structures; and taking the dynamic Biot's equations (known as "u − p" approximation) for soil as the governing equations. The finite difference two-step projection method and the forward time difference method are adopted to solve the RANS, VARANS equations; and the finite element method is adopted to solve the "u − p" approximation. A data exchange port is developed to couple the RANS, VARANS equations and the dynamic Biot's equations together. The analytical solution proposed by Hsu and Jeng (1994) and some experiments conducted in wave flume or geotechnical centrifuge in which various waves involved are used to validate the developed semi-coupled numerical model. The sandy bed involved in these experiments is poro-elastic or poro-elastoplastic. The inclusion of the interaction between fluid, marine structures and poro-elastoplastic seabed foundation is a special point and highlight in this paper, which is essentially different with other previous coupled models The excellent agreement between the numerical results and the experiment data indicates that the developed coupled model is highly reliablefor the FSSI problem.     

Group Properties of 2–Submodels for the Evolutionary Class of Gas–Dynamic Equations

Invariant 2–submodels (submodels with two independent variables) of the evolutionary class are considered for the equations of gas dynamics with an equation of state of general form. Group analysis of these submodels is performed. Allowable operators and transformations of equivalence are indicated, and group classification is performed.     

Ar稀释C2H2+2.5O2预混气高频爆轰的端面结构

为了研究预混气爆轰的内部结构,对不同浓度的Ar稀释的C₂H₂+2.5O₂预混气进行爆轰实验和数值计算。首先,在内径63.5 mm的管道内进行爆轰实验,使用烟熏玻璃记录了不同初始压力下C₂H₂+2.5O₂预混气的爆轰端面结构。使用数字化图像处理技术来分析烟熏玻璃记录的三波点轨迹,以减少人为误差。然后,观察实验结果并描绘规则图形,图像识别程序经过验证后,用于分析实验结果。从端面结构中对封闭图形进行圆的拟合,用胞格半径方差来表示胞格大小的均匀程度;用相邻胞格圆心距的方差来表示胞格分布的规则程度。通过对比不同Ar稀释下半径方差和圆心距方差随胞格数量的变化,给出不同浓度Ar稀释下C₂H₂+2.5O₂预混气的端面胞格尺寸及分布规律,随着Ar浓度的升高,预混气端面胞格分布更加规律。     

粉尘-CO/H2杂混合物爆燃特性研究

实验研究了半开放环境下煤粉-CO/H₂杂混合物中粉尘种类、粒径、质量浓度对其爆燃特性的影响规律。结果表明:杂混合物中粉尘颗粒对爆燃特性的影响主要是挥发分析出吸热和挥发分参与反应两种作用相互竞争的结果。对于高挥发分煤粉,挥发分析出参与反应占主要地位,混合物的爆燃强度随着挥发分含量升高而逐渐升高;对于低挥发分煤粉,挥发分析出的吸热作用大于挥发分参与反应的作用,导致了爆燃强度的降低。对于银北煤等普通烟煤,随着粉尘质量浓度的增加,混合物的爆燃强度呈U型变化趋势;对于低挥发分的焦炭粉末,其爆燃强度随粉尘质量浓度的变化不明显。     

Optimum design of dynamic vibration absorbers for a beam, based on H ∞ and H 2 Optimization

The solutions to H _∞ and H ₂ optimization problems of a variant dynamic vibration absorber (DVA) applied to suppress vibration in beam structures are derived analytically. The H _∞ optimum parameters such as tuning frequency and damping ratios are expressed based on fixed-point theory to minimize the resonant vibration amplitude, as well as, the H ₂ optimum parameters to minimize the total vibration energy or the mean square motion of a beam under random force excitation as analytical formulas. The reduction in maximum amplitude responses and mean square motion of a beam using the traditional vibration absorber is compared with the proposed dynamic absorber. Numerical results show the non-traditional DVA under optimum conditions has better vibration suppression performance on beam structures than the traditional design of DVA. Furthermore, comparing H _∞ and H ₂ optimization procedures shows that for a beam under random force excitation, use of H₂ optimum parameters resulting in smaller mean square motion than the other optimization.     

On the Hamiltonian Hopf Bifurcations in the 3D Hénon–Heiles Family

An axially symmetric perturbed isotropic harmonic oscillator undergoes several bifurcations as the parameter adjusting the relative strength of the two terms in the cubic potential is varied. We show that three of these bifurcations are Hamiltonian Hopf bifurcations. To this end we analyse an appropriately chosen normal form. It turns out that the linear behaviour is not that of a typical Hamiltonian Hopf bifurcation as the eigen-values completely vanish at the bifurcation. However, the nonlinear structure is that of a Hamiltonian Hopf bifurcation. The result is obtained by formulating geometric criteria involving the normalized Hamiltonian and the reduced phase space.     

C7H16-O2-N2预混气体压缩点火过程的数值模拟

采用庚烷氧化的最新化学反应动力学机理(包含57种组分,290个基元反应)对模型燃烧室内的庚烷 空气混合气的压缩点火过程进行了数值模拟。计算了不同初始压力、不同初始温度下的点火过程;预测了燃烧室内部分稳定物质和自由基的摩尔分数及其在各个反应中的产生或消耗速率,以及温度和压力等参数随时间的变化过程,并根据计算结果从化学反应动力学机理的角度讨论了庚烷的压缩点火过程。     

Local Dissipativity in L2 for the Kuramoto–Sivashinsky Equation in Spatial Dimension 2

We show the local dissipativity of the Kuramoto–Sivashinsky equation with periodic boundary conditions in a rectangular thin enough domain. More precisely, we give a sufficient condition on the width L ₂ of the domain, depending on the length L ₁, so that there exists a bounded local attracting set in _per ² which will be estimated, as well as its basin of attraction. We thus improve, and make more transparent, a result due to Sell and Taboada [14]. Finally, in the second part, we test our approach to another model to which it also applies.     

Periodic Klein–Gordon Chains with Three Particles in 1:2:2 Resonance

Journal of Dynamics and Differential Equations - In this paper, we deal with the three degrees of freedom Hamiltonian systems describing the Klein–Gordon chains with three particles of equal...     

Measure Valued Solutions of the 2D Keller–Segel System

We develop a theory of global measure-valued solutions for the classical Keller–Segel model. These solutions are obtained considering the limit of solutions of a regularized problem. We also prove that different regularizations yield different limit measures in the case in which classical solutions of the Keller–Segel system are not globally defined in time.     

Weierstrass elliptic function solutions and their degenerate solutions of (2+1)-dimensional potential Yu–Toda–Sasa–Fukuyama equation

Nonlinear Dynamics - Weierstrass elliptic function solutions are investigated by applying the traveling wave transformation and auxiliary equations to a (2+1)-dimensional potential...     

Ferrimagnetic ceramic adsorbents for cleanup of H2S from exhaust gases

Adsorbents that exhibit magnetic properties in addition to other required process-relevant characteristics open up new perspectives for the dry reduction and/or elimination of HES and other sulfur compounds from exhaust gases. These adsorbents eliminate the sulfur compounds from exhaust gases by virtue of their coatings and their magnetic property which makes it possible the use of magnetically assisted and stabilized fluidization in an externally applied magnetic field. In the present paper, the feasibility of the sorptive function of porous ceramic ferrimagnetic beads is ensured by sol-gel coating of zinc oxide without the formation of Zn-Fe-oxides and without considerable decrease of available pore volume. The results of material characterization by SEM, Auger electron spectroscopy, X-ray and mercury-porosity measurements and the loading capacity of a HES/N2 model gas are presented and discussed. The resulting HES loading of the functionalized adsorbent beads is more than 10 times larger than that of the starting material. @ 2007 Chinese Society of Particuolo~v and Institute of Process Engineering, Chinese Academy of Sciences. Published by Elsevier B.V.     

Characteristics of the solitary waves and lump waves with interaction phenomena in a (2 + 1)-dimensional generalized Caudrey–Dodd–Gibbon–Kotera–Sawada equation

In this paper, we consider a (\(2+1\))-dimensional generalized Caudrey–Dodd–Gibbon–Kotera–Sawada (gCDGKS) equation, which is a higher-order generalization of the celebrated Kadomtsev–Petviashvili (KP) equation. By considering the Hirota bilinear form of the CDGKS equation, we study a type of exact interaction waves by the way of vector notations. The interaction solutions, which possess extensive applications in the nonlinear system, are composed by lump wave parts and soliton wave parts, respectively. Under certain conditions, this kind of solutions can be transformed into the pure lump waves or the stripe solitons. Moreover, we provide the graphical analysis of such solutions in order to better understand their dynamical behavior.     

Abundant fission and fusion solutions in the ( $$2+1$$ 2 + 1 )-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation

Nonlinear Dynamics - Fission and fusion are important phenomena, which have been observed experimentally in many physical areas. In this paper, we study the above two phenomena in the ( $$2+1$$...     

2:1 and 1:1 frequency-locking in fast excited van der Pol–Mathieu–Duffing oscillator

The frequency-locking area of 2:1 and 1:1 resonances in a fast harmonically excited van der Pol–Mathieu–Duffing oscillator is studied. An averaging technique over the fast excitation is used to derive an equation governing the slow dynamic of the oscillator. A perturbation technique is then performed on the slow dynamic near the 2:1 and 1:1 resonances, respectively, to obtain reduced autonomous slow flow equations governing the modulation of amplitude and phase of the corresponding slow dynamics. These equations are used to determine the steady state responses, bifurcations and frequency-response curves. Analysis of quasi-periodic vibrations is carried out by performing multiple scales expansion for each of the dependent variables of the slow flows. Results show that in the vicinity of both considered resonances, fast harmonic excitation can change the nonlinear characteristic spring behavior from softening to hardening and causes the entrainment regions to shift. It was also shown that entrained vibrations with moderate amplitude can be obtained in a small region near the 1:1 resonance. Numerical simulations are performed to confirm the analytical results.