可压缩旋转气体中超空化射流的热稳定性

液体射流热稳定性研究是对射流稳定性问题的更深层次的探讨,可以进一步加深对液体射流分裂与雾化机理的认识,具有重要的学术意义和工程应用价值. 基于射流稳定性理论,在同时考虑射流周围气体旋转、射流和周围气体可压缩性以及射流液体中含空化气泡的条件下,建立了描述可压缩旋转气体中超空化射流热稳定性的数学模型,并对数学模型及其求解方法进行了验证分析;在此基础上,分析了液体射流表面与周围气体间温差及射流内部温度梯度同时作用下对射流稳定性的影响;并进一步探讨了超空化射流的热稳定性. 结果表明,射流表面扰动波的最大扰动增长率、最不稳定频率以及最大扰动波数皆随气液温差的增大呈近似线性增大趋势;射流内部温度梯度的存在使得气液温差对射流的失稳作用更加显著;射流内部温度梯度会抑制超空化对射流稳定性的影响,但气液温差会在一定程度上促进超空化对射流的失稳作用.      

A numerical simulation of boundary layer effects in a shock tube

A numerical scheme is used to investigate boundary layer effects in a shock tube. The method consists of a mixture of Roe's approximate Riemann solver and central differences for the convective fluxes and central differences for the viscous fluxes and is implicit in one space dimension. Comparisons are made with experimental data and with solutions obtained via boundary layer equations. Examination of the calculated flow field explains the observed behaviour and highlights the approximate nature of boundary layer solutions.     

Effects of variable viscosity on slider bearing

By considering the now in a slider bearing to be a nearly viscometric flow we have examined the effects of variation in viscosity, and normal stress differences on the total resistance and total normal force. We have found that under certain conditions the normal stress differences may be neglected compared with the variation in viscosity. We have found that the effects of variation in viscosity are to reduce the total resistance, and to increase or decrease the total normal force depending on the ratio of the thickness of the liquid at the entry and exit.     

SIZE EFFECTS OF ELASTIC MODULUS OF FCC METALS BASED ON THE CAUCHY-BORN RULE AND NANOPLATE MODELS

In the present research, a simple quasi-continuum model, the Cauchy-Born rule model, is used to investigate the size effects of elastic modulus for fcc metals. By considering a nanoplate model and calculating the strain energy for the nano-sized plate under tension and bending, the relationship between the elastic modulus and the plate thickness is found. Size effects of the elastic modulus are displayed by the relative differences of the elastic modulus between the nano-sized plate sample and the bulk sample. By comparing the present results with those of others, the effectiveness of the Cauchy-Born rule model in studying the size effects of material properties are shown.     

A numerical investigation of the near-wake structure in the variable frequency forced oscillation of a circular cylinder

The near-wake structure of a uniform flow past a circular cylinder undergoing a constant-amplitude transverse forced oscillation is studied numerically using a 2-D large eddy simulation (LES) calculation with a Reynolds number range from 500 to 8000. Two effects are considered: First, a comparison is made between the wake structures of periodic and nonperiodic forced oscillations of the cylinder. This was done to emphasize the importance of wake-structure differences of a periodic forced oscillation and a self-excited oscillation of a circular cylinder with the latter being characterized as a nonperiodic forced oscillation. The nonperiodic constant-amplitude forced oscillations were obtained by modulating the frequency of the periodically oscillating cylinder. The differences in the vortex-shedding behavior were made evident by analyzing the vorticity field in the entire wake domain. Second, the effect of changes in the moderate values of the Reynolds number for constant and variable frequency oscillation was investigated. Significant effects on the vortex-shedding patterns in the near wake were observed for both aspects of this study.     

Stationary Transverse Diffusion in a Horizontal Porous Medium Boundary-Layer Flow with Concentration-Dependent Fluid Density and Viscosity

Stable transport of high-concentrated solute is considered in horizontal boundary-layer flows above a wall of constant concentration. Mixing is accomplished by advection and molecular diffusion only. The utilized boundary-layer approximation allows to investigate the exclusive influence of gravity on vertical diffusion. The hydrodynamic dispersion mechanism was disregarded in the present study which confines its applicabilty to flows with small molecular Péclet numbers. A linear variability of both the fluid's density and viscosity with changing concentration is taken into account as well as the complete set of mass-fraction based balance equations. Steady-state concentration and velocity distributions above the horizontal wall have been obtained using the series truncation method which recently had proven successful to solve the corresponding problem using the Boussinesq assumption. The impact of the latter on these distributions is discussed by what has been additionally-facilitated by the existence of an exact analytical solution for the simpler Boussinesq case. Whereas no density variability influence exists with use of the Boussinesq assumption the complete system of mass-fraction based equations predicts opposing effects of density and viscosity differences between oncoming and near-wall fluids on concentration distributions. Larger density differences narrow the transition zone between both fluids, larger viscosity differences widen it. Thus, a compensation of both effects can be observed for individual fluids and for certain regions of the flow field.     

Comparison of low Mach number models for natural convection problems

 We investigate in this paper two numerical methods for solving low Mach number compressible flows and their application to single-phase natural convection flow problems. The first method is based on an asymptotic model of the Navier–Stokes equations valid for small Mach numbers, whereas the second is based on the full compressible Navier–Stokes equations with particular care given to the discretization at low Mach numbers. These models are more general than the Boussinesq incompressible flow model, in the sense that they are valid even for cases in which the fluid is subjected to large temperature differences, that is when the compressibility of the fluid manifests itself through low Mach number effects. Numerical solutions are computed for a series of test problems with fixed Rayleigh number and increasing temperature differences, as well as for varying Rayleigh number for a given temperature difference. Numerical difficulties associated with low Mach number effects are discussed, as well as the accuracy of the approximations. Received on 17 January 2000     

直坑道内防护门上的爆炸冲击波荷载

为可靠开展抗爆结构设计与评估,基于理论计算与数值分析对直坑道内爆炸冲击波荷载的计算问题进行了研究。定量对比分析了现有不同方法计算结果的差异,基于结构响应对不同方法进行了评价,并结合模型实验对近距离爆炸情况下直坑道内防护门上的设计荷载取值问题进行了研究。结果表明,在进行荷载简化时有必要考虑荷载形式与结构响应的耦合,而现有坑道内爆炸冲击波荷载的简化计算方法普遍没有考虑结构动态特性影响,且相互之间存在很大差异,严重影响设计或评估工作的可靠性;近距离爆炸情况下,取门中线上距门边1/4宽度处的压力或门上平均压力作为坑道内防护门上的设计荷载,在比较宽的结构频率范围内是合理的。研究结果可为坑道内结构的防护设计提供参考。     

Application of general constitutive principles to the derivation of multidimensional two-phase flow equations

The process of determining appropriate constitutive equations for multidimensional time averaged two-phase flow equations is studied from the point of view of starting from general principles, and proceeding to specific constitutive equations which contain known physical effects. Energetic effects and phase change are not considered. Models are given for the interfacial momentum transfer, the laminar and turbulent (Reynolds) stresses, and the pressure differences between the phases, and between a given phase pressure and the interfacial average pressure.     

大速差预燃室的流场特征

一种新型的大速差同向射流预燃室已经研制成功。本文基于SIMPLE算法,发展了计算这种流场的数值解法。文中介绍了算法、边界条件的详细说明以及计算结果。计算结果证明存在大面积迴流区;呈现了重要的三维特征。本文初步讨论了设计参数对迴流特性的影响。     

高硬度聚脲涂层抗侵性能与断裂机制研究

鉴于高硬度聚脲与常规聚脲弹性体的区别,研究了高硬度聚脲涂覆钢板结构的抗侵性能及涂层断裂机制。通过弹道实验加载3.3 g立方体破片撞击无涂层、迎弹面涂层、背弹面涂层与双面涂层4种涂覆类型靶板,获得靶板的弹道极限,分析了不同涂覆方式下结构的抗侵性能、涂层断裂规律与微观断口形貌。结果表明:破片冲击作用下,迎弹面涂层断裂程度高且吸能性好,能够有效提高结构抗侵性能,而背弹面涂层破坏先于钢板层且吸能性差,对结构抗侵性能无提升作用;涂层断裂呈现一定的速度效应、厚度效应与微观特征,其规律反映了不同位置涂层的吸能差异。     

光弹性粘结材料的试验研究

在三维光弹性试验中，为模拟具有软弱夹层或由不同岩土构成的复杂地基问题，需用粘结材料将各种不同弹模的型材粘结成组合模型。本文提出三种新型光弹性粘结材料，并通过试验阐明其光学和力学性能，分析比较了它们的主要特点和差异，同时探讨了其粘结应力的作用与效果。     

Flow of a fluid-solid mixture: Normal stress differences and slip boundary condition

In this paper, using mixture theory we study the flow of a dense suspension, composed of solid particles and a fluid; the emphasis is on the influence of the slip boundary condition and the effect of normal stress differences. Very little work has been done considering both the slip at the walls and the normal stress effects in the frame of a two-component flow. In this paper, the stress tensor for the solid component is modeled as a nonlinear fluid which not only includes the viscous effects but also the normal stress effects; the fluid constituent is modeled as a viscous fluid. We look at the flow between two flat plates.     

Atmospheric temperature dependence of the aerosol backscattering coefficient

In extracting vertical profiles of aerosol backscattering coefficient from lidar signals, the effects of atmospheric temperature are usually ignored. In this study, these effects are analyzed using a rotational Raman–Mie lidar system, which is capable of simultaneously measuring atmospheric temperature and vertical profiles of aerosols. A method is presented to correct the aerosol backscattering coefficient using atmospheric temperature profiles, obtained from Raman scattering signals. The differences in the extracted aerosol backscattering coefficient with and without considering temperature effects are further discussed. The backscattering coefficients for scattering off clouds are shown to be more sensitive to temperature than that of aerosols and atmosphere molecules; the aerosol backscattering coefficient is more sensitive to temperature in summer due to higher atmospheric temperatures.     

Modeling the Impact of Plant Toxicity on Plant–Herbivore Dynamics

Numerous empirical studies over the past two decades have documented substantial effects of plant toxins on diet choice and feeding behavior of herbivores, but analytical models have failed thus far to incorporate toxin-mediated effects of browsing on plant population dynamics. We study a mathematical model that incorporates plant toxicity in the functional response of plant–herbivore interactions. The model also includes a Lotka–Volterra type competition between plants. The model exhibits a rich variety of complex dynamics including Hopf bifurcation and period-doubling bifurcations. Differences in dynamical behavior stem from interspecific differences in plant biology and strategies for growth and defense as well as variation in responses of herbivores to toxins. Analyses suggest that for realistic parameter values, herbivores are capable of promoting coexistence of plant species by ameliorating competitive effects and hence enhancing biodiversity.     

On the linearized disturbance dynamic equations for buckling and free vibration of cylindrical helical coil springs under combined compression and torsion

In this study a set of twelve linearized disturbance dynamic equations in canonical form is derived systematically and in a comprehensive manner based on the first order shear deformation theory to study the buckling and vibration analysis of helical coil springs made of isotropic linear materials. Those complete equations comprise the axial and shear deformation effects together with rotatory inertia effects. The special case of these equations corresponds also to the equations for straight and circular rods. The main differences among the existing formulations based on the same approach are discussed briefly. The resulting equations are used for numerical buckling and free vibration analyses to show its soundness.     

Heat and brine transport in porous media: the Oberbeck-Boussinesq approximation revisited

This paper discusses the Oberbeck-Boussinesq approximation for heat and solute transport in porous media. In this commonly used approximation all density variations are neglected except for the gravity term in Darcy’s law. However, in the limit of vanishing density differences this gravity term disappears as well. The main purpose of this paper is to give the correct limits in which the gravity term is retained, while other density effects can be neglected. We show that for isothermal brine transport, fluid volume changes can be neglected when a condition is fulfilled for a dimensionless number, which is independent of the density difference and specific discharge. For heat transfer an additional condition is required. One-dimensional examples of simultaneous heat and brine transport are given for which similarity solutions are constructed. These examples are included to elucidate the volume effects and the corresponding induced specific discharge variations. Finally, a two-dimensional example illustrates the relative effects of volume changes and gravity.     

Micro–macro approach for the rock salt behaviour

Rock salt is considered as a pure aggregate of halite (mineral NaCl) crystals and its behaviour is investigated by a micro–macro approach. The behaviour of the polycrystalline aggregate is deduced from the properties of the constituent halite crystals. A model for the elastoplastic behaviour of halite crystal has been deduced from experimental data available in the literature. The basic equations of the micro–macro model for the polycrystalline medium and the calculation method are then presented and the elastoplastic behaviour of rock salt is investigated by this method. The hardening effects obtained for the polycrystal are found to be very different from those obtained for FCC metal polycrystals. The differences are explained as a consequence of differences of families of glide systems in these crystals. Finally, the internal stresses in the polycrystal are studied in order to elucidate the origin of cracking and damage of the rock salt.     

Dynamical investigation of effects of variable damper settings induced brake pressure oscillations on axle and wheel oscillations during ABS-braking based on experimental study

In this study, the effects of variable damping setting induced brake pressure oscillations on axle and wheel oscillations have been experimentally explored. For this, antilock brake system (ABS) tests are conducted on wet and slippery rough roads with hard, medium-hard and soft shock absorbers. In ABS tests, the axle height, the longitudinal and vertical axle accelerations have been measured. The results are discussed for time and frequency responses of axle vibrations in vertical and longitudinal direction. The time responses are separately considered for high and low piston velocities of damper. Also, in order to occur the effects of changes in ABS-brake pressure on axle vibrations, novel rules are designed. These rules are based on the integration of suspension dynamics into braking dynamics. The results show that the brake pressure is distinctly changed by variable damping settings. In time responses, these differences are determined by changes in time period and magnitude of brake pressure during build-up and reduction process. In frequency responses, the brake pressure differences are occurred by the different change frequencies of brake pressure causing resonance at axle vibrations. Also, the changes in magnitude of resonance peaks have determined the effects of brake pressure changes on axle vibrations. As a result, it is possible to damp the oscillations by changing the magnitude and frequency of brake pressure by means of the damper settings during ABS-braking.     

Modeling and Simulation of Local Thermal Non-equilibrium Effects in Porous Media with Small Thermal Conductivity

The two-equation model in porous media can describe the local thermal non-equilibrium (LTNE) effects between fluid and solid at REV scale, with the temperature differences in a solid particle neglected. A multi-scale model has been proposed in this study. In the model, the temperature differences in a solid particle are considered by the coupling of the fluid energy equation at REV scale with the heat conduction equation of a solid particle at pore scale. The experiments were conducted to verify the model and numerical strategy. The multi-scale model is more suitable than the two-equation model to predict the LTNE effects in porous media with small thermal conductivity. The effects of particle diameter, mass flow rate, and solid material on the LTNE effects have been investigated numerically when cryogenic nitrogen flows through the porous bed with small thermal conductivity. The results indicate that the temperature difference between solid center and fluid has the same trend at different particle diameters and mass flow rates, while the time to reach the local thermal equilibrium is affected by solid diameter dramatically. The results also show that the temperature difference between solid center and surface is much greater than that between solid surface and fluid. The values of \( \rho {\text{c}} \) for different materials have important influence on the time to reach the local thermal equilibrium between solid and fluid.