Turbulent Flow with Embedded Vortical Structures Induced by Vortex Generators in a Cascade

Presented work is the next step after several experimental examinations of vortex generator influence on a flow separation occurring on a model of the NACA 63A421 airfoil with deflected simple flap. In this stage of research the vortices produced by vortex generators (VGs) were studied using Particle Image Velocimetry technique (PIV) and numerical simulations. Vane type VGs with two spacings among VGs pairs in straight channel with turbulent flow were tested. The average velocity flow field, peak of vorticity and circulation decay downstream of VGs were evaluated. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

含灰气体激波沿平壁传播时诱导的边界层流动*

本文研究合灰气体激波沿平直壁面传播过程中在壁面附近形成的层流边界层流动。我们依照双连续介质双向耦合模型处理含灰气体激波的波后流动及其诱导的边界层问题,控制方程采用有限差分方法数值求解,给出了激波下游两相流场特性并考虑了含灰气体激波的松弛结构对边界层流动的影响。     

三维粘流—无粘干扰流动方程组部分正则性问题

本文讨论了三维粘流一无粘干扰流动方程组部分正则性问题，引入了新的三维粘流－无粘干扰流动假设，并得到了相应的结论。     

Vortex Interaction in a Ducted Flow

The objective of this study is to describe the structure of pipe flow by considering it as a superposition of many axisymmetric vortex rings. In knowing the unsteady gross feature of pipe flow, the investigation on vortex interactions is important. As a first step to the goal, we investigate the nonlinear interaction among vortex rings whose number is three at most. The interaction among vortex rings of equal circulation is here investigated. Momentum and energy conservation of the present vortex ring system are also discussed to know a better understanding of the perturbed pipe flow. (© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

饱和纳米流体多孔介质中竖直嵌入板上边界层的非Newton流

在层流条件下,对饱和多孔介质中的竖直板,研究幂指数型非Newton流的自由对流热交换.非Newton纳米流体服从幂指数型的数学模型,模型综合考虑了Brown运动和热泳的影响.通过相似变换,将问题的偏微分控制方程组,转化为常微分方程组,得到了常微分方程组的数值解.数值解依赖于幂指数n,Lewis数Le,浮力比Nr,Brown运动参数Nb,以及热泳参数Nt.在n和Le的不同取值下,研究并讨论了对相关流体性质参数的影响和简化的Nusselt数.     

泄爆诱导的湍流、旋涡和外部爆炸

基于k-ε湍流模型和Eddy-dissipation燃烧模型,采用同位网格SIMPLE算法,对充满甲烷-氧气预混气的带导管柱形泄爆容器向空气中泄爆的情形进行了数值模拟．根据计算结果,分析了泄爆后外流场中可燃云团、火焰和压力的变化过程．结果表明,外部爆炸是因射流火焰点燃高压区中的可燃云团,从而引起的剧烈湍流燃烧所致．同时还讨论了外流场湍流和涡量的分布特征．射流火焰进入外部可燃云团后,湍流主要分布在平均动能梯度较大的区域,而不在火焰阵面上．涡量分布主要受斜压效应的影响,在压力和密度梯度斜交区域,其值较大．     

Phase-Averaged Vortex Train Flow Generated by Plasma DBD Actuator

It will be shown how plasma actuator can generate wall-jet-like flow or train of periodical vortices depending on the generator setting. For generation the high-frequency high-voltage AC is used. Low-frequency modulation of the supply voltage is required to generate vortices. Data acquisition will be performed using time-resolved PIV technique. Phase-averaging will be studied from two different perspectives. Firstly, sampling of phases will be ensured using trigger that is contained in the PIV software and, secondly, phase-averaged flow will be computed from two main modes of POD analysis. The generated flow patterns are to be applied for control of a boundary layer. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

On the Application of the Briggs' and Steepest-Descent Methods to a Boundary-Layer Flow

The evolution of wave packets generated by impulsive disturbances of the rotating-disk boundary-layer flow is studied. It is shown, by comparison with Briggs' method, that there are certain difficulties associated with the steepest-descent time-asymptotic method of evaluating the impulse response. The rotating-disk boundary layer provides examples of saddle points through which the steepest-descent path can and cannot be made to pass. It is shown that it is critically important to establish, from the topography of the phase function, whether the steepest-descent path passes through particular saddle points. If this procedure is not carried out, calculations of the wave-packet evolution can be majorly flawed and incorrect conclusions can be drawn about the stability of the flow, i.e., whether it is convectively or absolutely unstable.     

Vortex Generation in a Liquid Metal Duct Flow near a Magnetic Dipole

The generation of vortical structures by a strong magnetic dipole field in a liquid metal duct flow is studied by means of three-dimensional direct numerical simulations. The dipole is considered as the paradigm for a magnetic obstacle which will deviate the streamlines due to Lorentz forces which act on the fluid elements. Our model uses the quasi-static approximation applicable in the limit of small magnetic Reynolds numbers. The analysis covers the stationary flow regime at smaller flow Reynolds numbers Re as well as the fully time-dependent regimes at higher values with a turbulent flow in the wake of the magnetic obstacle. We present a systematic study of these two basic flow regimes on Re and the Hartmann number Ha, a measure of the strength of the magnetic dipole field. Furthermore, three orientations of the dipole are compared, the streamwise, spanwise and wall-normal ones. The most efficient generation of turbulence at a fixed distance above the duct occurs for the spanwise orientation in which we can observe the formation of Hartmann layers at the top plate. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Flow over a Wing with an Attached Free Vortex

Exact solutions are constructed for two-dimensional inviscid potential flow over a wing with a free line vortex standing over the wing. The loci of positions of the free vortex are found, and the lift is calculated. It is found that the lift on the wing can be significantly increased by the free vortex.     

Wave-Mean Flow Interactions in Thermally Stratified Poiseuille Flow

We consider nonlinear wave motions in thermally stratified Poiseuille flow. Attention is focused on short wavelength wave modes for which the neutral Reynolds number scales as the square of the wave number. The nonlinear evolution of a single monochromatic wave is governed by a first harmonic/mean-flow interaction theory in which the wave-induced mean flow is comparable in size to the wave component of the flow. An integrodifferential equation is derived which governs the normal variation of the wave amplitude. This equation admits finite-amplitude solutions which bifurcate supercritically from the linear neutral point(s).     

Vortex Induced Lift on a Flat Plate with a Curved Forward-Facing Flap

Free streamline solutions are obtained for two dimensional inviscid incompressible flow past a flat plate with a forward-facing curved flap. It is shown that it is possible to shape the curved flap to make the adverse pressure gradient on top of the flap less severe than for a straight flap and thus increase the prospects of making the flow experimentally realizable.     

Shock Interactions in Nonequilibrium Hypersonic Flow

A shock interaction problem is solved with finite difference methods for a hypersonic flow of air with chemical reactions. If a body has two concave corners, a secondary shock is formed in the shock layer and it meets the main shock later. As the two shocks meet, the flow becomes singular at the interaction point, and a new main shock, a contact discontinuity and an expansion wave appear as a result of interaction between the two shocks. Therefore, the problem is very complicated. Using proper combinations of implicit and explicit finite difference schemes according to the property of the equations and the boundary conditions, we compute the flow behind the interaction point successfully.     

正交表交互作用的广义方差分析

本文给出“正交表的多指标效应与单指标效应的交互列一致”的结论 ,并据此结合实例给出了交互作用的“广义方差分析”法     

热泳和Brown运动对太阳能辐射下热分层纳米流体边界层流动的影响

在太阳辐射下的纳米流体中,数值地研究竖向延伸壁面具有可变流条件时的层流运动.使用的纳米流体模型为,在热分层中综合考虑了Brown运动和热泳的影响.应用一个特殊形式的Lie群变换,即缩放群变换,得到相应边值问题的对称群.对平移对称群得到一个精确解,对缩放对称群得到数值解.数值解依赖于Lewis数、Brown运动参数、热分层参数和热泳参数.得到结论:上述参数明显地影响着流场、温度和纳米粒子体积率的分布.显示出纳米流体提高了基流体热传导率和对流的热交换性能,基流体中的纳米粒子还具有改善液体辐射性能的作用,直接提高了太阳能集热器的吸热效率.     

The Scattering of Sound by a Vortex Sheet

The effect of the radiation from an acoustic point source onthe vortex sheet separating two fluids in relative motion isinvestigated. A supersonic speed of flow is allowed for andsources which are either harmonically varying or pulsed in timeare included. It is discovered that waves due to Helmholtz instabilityare always present and dominate other disturbances whateverthe Mach number M. This contrasts strongly with excitation bya line source where instability disappears when M > 22. There is a bow wave moving ahead of other disturbances and,if M > 2, a second bow wave appears, behind the first bowwave but in front of other waves. If M > 2, there is a neutralstability wave which is singular at its front. In addition,if M > 22, further waves are generated which display thesame kind of singularity.     

A Family of Wave-Mean Shear Interactions and Their Instability to Longitudinal Vortex Form

The inviscid instability of O(ε) two-dimensional periodic flows to spanwiseperiodic longitudinal vortex modes in parallel O(1) shear flows of the form ū = ± |z|^q is considered. Here the mean velocity ū is relative to the wave and q is a constant. Such shear flows admit neutral Rayleigh waves with amplitudes that either diminish or diverge with |αz|; both are considered. Of particular interest are streamwise α and spanwise l wavenumbers in the range l² ? α², α = O(1), as it is here that the most analytical progress can be made. A generalized Lagrangian-mean formulation is used to describe the effect of fluctuations upon the mean state and, because the developing mean flow acts to distort the waves, a further equation, the Rayleigh-Craik equation, is employed to complete the specification. It is shown that instability to longitudinal vortex form is likely for both classes of waves in many physically interesting situations, from simple mixing layers to atmospheric boundary layers over undulating surfaces.     

结构振动诱导流场及附加质量的数值分析

将大型柔性结构低速振动诱导流体流场的问题, 归结为无粘性不可压缩无旋流动平面问题．在偶极子配置法基础上,发展了一种在结构和流体接触面上混合配置源汇和偶极子的奇点配置法,能够计算翼型、柱型等结构在流体中低速振动时诱导的流体流场并推导出流场的动能表达式,最终得到流体附加质量．给出了几个具有解析解的算例验证了此方法的可靠性．     

模糊化拟一致结构导出的拓扑

从模糊化拟一致结构μ出发,分别导出了模糊化内部算子和模糊化闭包算子,进而导出了两个模糊化拓扑τμ和ημ.结果表明,若μ是模糊化拟一致结构,则τμ=ημ不一定成立;若μ是模糊化一致结构,则τμ=ημ成立。     

树的导出匹配覆盖

The induced matching cover number of a graph G without isolated vertices,denoted by imc(G),is the minimum integer k such that G has k induced matchings M1,M2,…,Mk such that,M1∪M2 ∪…∪Mk covers V(G).This paper shows if G is a nontrivial tree,then imc(G) ∈ {△*0(G),△*0(G) + 1,△*0(G)+2},where △*0(G) = max{d0(u) + d0(v) :u,v ∈ V(G),uv ∈ E(G)}.