空泡外形测量与分析方法研究

空泡外形及其特征参数是超空化试验研究的一个重要方面,它的测量和分析是一个耗时而又存在较大误差的过程。本文研究了空泡外形记录、测量、分析的全过程,提出了空泡外形的数字化测量、处理方法,采用椭圆拟合法进行了空泡外形特征参数的识别,研制了空泡图像的测量和分析处理系统,实现了空泡图像测量和处理的自动化、数字化与标准化,同时也提高了空泡图像测量的精度与可信度。     

Problem of Critical Convective Flows in Horizontal-Cylindrical Cavities

The results of an analysis of the linear perturbations of equilibrium of a viscous heat-conducting fluid or gas in cavities with simple geometric cross-sections are given. Both plane motions and motions periodic in the direction of the horizontal generator of the boundary surface are considered. Variants in which the acceleration of the mass force field can be both constant and periodically modulated are calculated. The solutions of the problem for the stream function (or the vertical velocity component) and the temperature are represented in the form of double or triple Fourier series. For the coefficients in the expansions an infinite system of equations which admits reduction is obtained. The results are found to be in good agreement with the known data.__________Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, 2005, pp. 14–24.Original Russian Text Copyright © 2005 by Pylaev.     

空腔解耦爆炸实验研究的基础理论(Ⅰ)

空腔解耦爆炸可使远区地震波幅度大大降低 ,国外已在现场和实验室内进行了大量的实验研究 ,但涉及空腔解耦爆炸实验数据分析方法及相关的基础理论知识基本上散布于各文献 ,我们在对国外有关文献调研的基础上 ,较为系统地介绍了空腔解耦爆炸的基础理论知识、实验数据的分析方法及解耦效应的简化分析模型     

Development of a doubly periodic system of cavities in viscous bodies

The plane unknown-boundary problem of the development of a doubly periodic system of cavities in viscous media in the presence of finite strains is considered. Under conditions of timedependent slow Newtonian viscous fluid flow the solution of the doubly periodic problem of the development of a system of identical cavities whose centers are arranged in square and triangular grids is obtained.     

Application of a POD-Galerkin based method to time resolved and time unresolved data for the determination of the Convective Velocity of Large-Scale Coherent Structures in High Speed Flows

Motivated by the aero-acoustic feedback loop phenomenon in high speed free jets and impinging jets, a thorough examination of a POD (Proper Orthogonal Decomposition)-Galerkin method to determine the average convection velocity of coherent structures in the shear layer is presented in this paper. The technique is shown to be applicable to both time resolved as well as time unresolved data, if the data set meets certain requirements. Using a detailed sensitivity analysis on a synthetic data set, a quantitative estimate on the required time resolution for the technique has been found, which can be useful for both experimental, as well as numerical studies investigating the aero-acoustic feedback loop in high speed flows. Moreover, some innovative ways to apply the technique are also demonstrated using a simulated data set, showing the effectiveness of the technique to any general problem in supersonic jets, heat transfer, combustion or other areas in fluid mechanics, where an advection process can be identified.     

Three-Dimensional Thermochemically Nonequilibrium Viscous Gas Flows in the Neighborhood of Blunt Bodies

The parameters of the flow in the neighborhood of blunt bodies are investigated within the framework of the parabolized viscous shock layer model under Earth's atmosphere entry conditions for flow at angles of attack and slip. The investigation is carried out with allowance for thermal and chemical flow nonequilibrium, multicomponent diffusion, and heterogeneous catalytic reactions. The mutual influence of exchange reactions and molecular vibrational relaxation is taken into account, together with the vibrational-dissociative interaction. The effect of the flow nonequilibrium on the thermal and mechanical loadings is analyzed for the windward surface of triaxial ellipsoids.     

Simulation of Three-Dimensional Bluff-Body Flows Using the Vortex Particle and Boundary Element Methods

Recent contributions to the 3-D vortex method for bluff-body flows are presented. The numerical method--a vortex method combined with a boundary element method--is briefy reviewed. It is applied to direct numerical simulation (DNS) of the flow past a sphere (Re= 300, 500 and 1000). The on-going work to extend the method towards vortex-based large-eddy simulation (LES) for high Reynolds number flows is also presented. Preliminary results for the flow past a hemisphere are discussed.     

跨音速压气机级的三维周期性非定常流动计算

对跨音速压气机级动静叶排相干形成的三维非定常流场进行了数值研究，利用时间推进ＬＵ－ＳＧＳ稳式迭代法求解三维非定常欧拉方程，对流项采用高分辨率ＮＮＤ格式离散。对某压气机第一级动静叶排相干非定常流场的计算结果表明，本文方法不仅在收敛速度上明显地优于一般显式方法，而且保持了流场中激波的高分辨率，适于推广到计算量巨大的的多级轴流压气机三维非定常流场的数值分析问题     

高速切削实验平台在力学实验教学中的应用

传统的力学实验已无法满足研究生创新性实验教学的需要。为了使研究生在科学研究中掌握实验分析的基本方法和技能,本文基于Hopkinson压杆加载技术建立了一套高速切削实验系统。该实验系统作为一个科研平台,能够实现切削过程的瞬态冻结并完成变形场和切削力的实时测量,可为高速切削机理研究提供基础实验数据。同时,该实验系统也是一个综合性的实验平台。基于该平台,可以完成金相分析、光栅光纤测力、变形场测量以及塑性本构分析等力学实验教学。高速切削实验平台将力学实验与科学研究相结合,有利于培养研究生独立分析与研究的能力,为研究生未来的科研工作打下基础。     

Dynamics of ellipsoidal cavities in fluid

A mathematical model of the hydrodynamics of free closed surfaces in a fluid is expounded. It is used for studying the dynamics of ellipsoidal cavities during their development. The model is based on a system of differential equations that accounts for the influence exerted on the dynamics of cavities by various perturbations such as gravity, surface tension, viscosity, and geometrical features of the cavity. Solving this system makes it possible to determine the hydrodynamic characteristics of the flow around the cavity and to plot cavity shapes depending on time and flow regimes. Characteristic features of the development of such cavities under gravity and surface tension are established __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 2, pp. 24–31, February 2006.     

Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows

The three-dimensional equations of compressible magnetohydrodynamic isentropic flows are considered. An initial-boundary value problem is studied in a bounded domain with large data. The existence and large-time behavior of global weak solutions are established through a three-level approximation, energy estimates, and weak convergence for the adiabatic exponent ${\gamma > \frac 32}${\gamma > \frac 32} and constant viscosity coefficients.     

Pore Shape Effects on the Relative Permeability of Gas and Condensate in Three-Dimensional Pore Networks

Transport in Porous Media -     

The Stress State of an Elastic Medium with an Elliptic Crack and Two Ellipsoidal Cavities

This paper is a study into the interaction of two triaxial ellipsoidal cavities whose surfaces are under different pressures with an elliptic crack in an infinite elastic medium. The stress state in the elastic space is represented by a superposition of perturbed states due to the presence and interaction of the cavities and the crack. The exact solution of the problem is constructed by using a modified method of equivalent inclusion, the potential of an inhomogeneous ellipsoid, and a system of harmonic functions for the elliptic crack. A numerical analysis is carried out to find how the geometry of the cavities and the crack, the distance between them, and the pressure on their surfaces affect the stress intensity factors     

Coupling of discrete-element method and smoothed particle hydrodynamics for liquid-solid flows

Particle based methods can be used for both the simulations of solid and fluid phases in multiphase medium, such as the discrete-element method for solid phase and the smoothed particle hydrodynamics for fluid phase. This paper presents a computational method combining these two methods for solid-liquid medium. The two phases are coupled by using an improved model from a reported Lagrangian-Eulerian method. The technique is verified by simulating liquid-solid flows in a two-dimensional lid-driven cavity.     

Research progress on hydrodynamics of high speed vehicles in the underwater launching process

高速航行体水下发射水动力学研究, 是具有重大工程应用背景的前沿基础问题.与之紧密相关的非定常空化流动, 特别是空泡稳定性、溃灭等问题, 是影响发射载荷及安全性的关键.本文首先简述了这一领域的主要科学问题, 归纳了主要控制参数和影响方式; 之后针对非定常空化流动问题, 综述了已有的实验观测手段及数值模拟方法; 总结了空泡发展、稳定性、溃灭及流动控制等重要物理机制、模型及各因素相互作用规律; 最后展望了该领域仍存在的主要科学问题与未来发展趋势.     

On the Ill-Posedness of the Prandtl Equations in Three-Dimensional Space

In this paper, we give an instability criterion for the Prandtl equations in three-dimensional space, which shows that the monotonicity condition on tangential velocity fields is not sufficient for the well-posedness of the three-dimensional Prandtl equations, in contrast to the classical well-posedness theory of the two-dimensional Prandtl equations under the Oleinik monotonicity assumption. Both linear stability and nonlinear stability are considered. This criterion shows that the monotonic shear flow is linearly stable for the three-dimensional Prandtl equations if and only if the tangential velocity field direction is invariant with respect to the normal variable, and this result is an exact complement to our recent work (A well-posedness theory for the Prandtl equations in three space variables. arXiv:1405.5308, 2014) on the well-posedness theory for the three-dimensional Prandtl equations with a special structure.     

On the Shape of the Eshelby Inclusions

It is shown, based on properties of analytic functions, that for inclusions of constant eigenstrain and eigenstress that the shape of the inclusion is restricted and any part of a plane (i.e. polyhedral inclusion) is prohibited. This revised version was published online in August 2006 with corrections to the Cover Date.     

On the Similarity of Pulsating and Accelerating Turbulent Pipe Flows

The near-wall region of an unsteady turbulent pipe flow has been investigated experimentally using hot-film anemometry and two-component particle image velocimetry. The imposed unsteadiness has been pulsating, i.e., when a non-zero mean turbulent flow is perturbed by sinusoidal oscillations, and near-uniformly accelerating in which the mean flow ramped monotonically between two turbulent states. Previous studies of accelerating flows have shown that the time evolution between the two turbulent states occurs in three stages. The first stage is associated with a minimal response of the Reynolds shear stress and the ensemble-averaged mean flow evolves essentially akin to a laminar flow undergoing the same change in flow rate. During the second stage, the turbulence responds rapidly to the new flow conditions set by the acceleration and the laminar-like behavior rapidly disappears. During the final stage, the flow adapts to the conditions set by the final Reynolds number. In here, it is shown that the time-development of the ensemble-averaged wall shear stress and turbulence during the accelerating phase of a pulsating flow bears marked similarity to the first two stages of time-development exhibited by a near-uniformly accelerating flow. The stage-like time-development is observed even for a very low forcing frequency; \(\omega ^{+}=\omega \nu /{\overline {u}}_{\tau }^{2}=0.00073\) (or equivalently, \({l}_{s}^{+}=\sqrt {2/\omega ^{+}}=52\)), at an amplitude of pulsation of 0.5. Some previous studies have considered the flow to be quasi-steady at \({l}_{s}^{+}=52\); however, the forcing amplitude has been smaller in those studies. The importance of the forcing amplitude is reinforced by the time-development of the ensemble-averaged turbulence field. For, the near-wall response of the Reynolds stresses showed a dependence on the amplitude of pulsation. Thus, it appears to exist a need to seek alternative similarity parameters, taking the amplitude of pulsation into account, if the response of different flow quantities in a pulsating flow are to be classified correctly.