基于微分求积法的轴向流作用下二维板复杂响应研究

研究轴向流作用下两端简支二维板线性稳定性及非线性复杂响应。用微分求积法对流场方程及二维板连续型运动方程统一离散,通过流固耦合边界条件将流场势函数用板的横向振动位移变量表示,获得二维板横向振动位移变量控制方程。通过特征值分析获得复频率及临界流速随流道高度变化。通过对壁板非线性动力响应数值模拟,采用分岔、相平面及庞加莱截面图等揭示壁板将发生的周期运动、拟周期、混沌等多种运动形式表明,壁板由周期倍化分岔或拟周期运动通向混沌。     

Fully developed steady flow in a slightly curved annular pipe

Summary A theoretical study of steady flow in a slightly curved annular pipe is presented. The equations of motion are expanded in powers of a non-dimensional radius ration . It is shown that the presence of the axial core affects essentially the axial flow and the wall shear stress. In addition the secondary flow is modified depending on the size of the annular gap.     

A Source of Accelerated Metal Plasma Flow with Controllable Parameters

Technical Physics Letters - Parameters of the metal plasma flow generated by a source with heated liquid anode have been studied during motion in axial magnetic field. It is established that the...     

Vibrations of an infinitely long flowing liquid jet—Influence of spin and axial flow

For an infinitely long liquid column the influence of axial flow velocity and spin has been investigated. The results are exhibited for axisymmetric mode m=0 and asymmetric modes m=1 and 2. A frictionless liquid shows with the increase of axial flow an increase of the frequency in flow direction and a decrease of the oscillation frequency in the opposite flow direction for axisymmetric motion. It also means that a larger surface tension, larger diameter or larger density of the liquid column exhibit the same behavior. For asymmetric motions the effect of axial velocity w₀ is the opposite. With increasing axial wave length the natural frequencies decrease. At certain axial speed magnitudes both waves move in flow direction with different magnitude. The effect of increasing spin is a decrease of natural frequencies and an instability for smaller axial wave lengths. Viscous effects show usually smaller oscillation frequencies.     

Computational modeling of magnetic nanoparticle targeting to stent surface under high gradient field

A multi-physics model was developed to study the delivery of magnetic nanoparticles (MNPs) to the stent-implanted region under an external magnetic field. The model is firstly validated by experimental work in literature. Then, effects of external magnetic field strength, magnetic particle size, and flow velocity on MNPs’ targeting and binding have been analyzed through a parametric study. Two new dimensionless numbers were introduced to characterize relative effects of Brownian motion, magnetic force induced particle motion, and convective blood flow on MNPs motion. It was found that larger magnetic field strength, bigger MNP size, and slower flow velocity increase the capture efficiency of MNPs. The distribution of captured MNPs on the vessel along axial and azimuthal directions was also discussed. Results showed that the MNPs density decreased exponentially along axial direction after one-dose injection while it was uniform along azimuthal direction in the whole stented region (averaged over all sections). For the beginning section of the stented region, the density ratio distribution of captured MNPs along azimuthal direction is center-symmetrical, corresponding to the center-symmetrical distribution of magnetic force in that section. Two different generation mechanisms are revealed to form four main attraction regions. These results could serve as guidelines to design a better magnetic drug delivery system.     

旋进射流流动的大涡模拟

分析了基于流体附壁效应而自激产生的旋进射流的流动特征,采用大涡模拟(LES)方法研究了射流喷嘴内部的流场.数值模拟得到了流场的速度分布和压力分布,比较了膨胀比、长径比等喷嘴结构参数以及雷诺数对旋进射流流动的影响.数值模拟表明旋进射流的轴向流动速度衰减得很快,流场中存在明显的旋流、附壁效应和反向回流现象,所得到的结果与已有的分析结论基本吻合.     

Speckle decorrelation due to two-dimensional flow gradients

The performance of ultrasonic velocity estimation methods is degraded by speckle decorrelation, the change in received echoes over time. Because ultrasonic speckle is formed by the complex sum of echoes from subresolution scatterers, it is sensitive to the relative motion of those scatterers. Velocity gradients in flowing blood result in relative scatterer motion and can be a significant source of speckle decorrelation. Computer simulations were performed to evaluate speckle decorrelation due to two-dimensional flow gradients. Results indicate that decorrelation due to flow gradients is sensitive to the angle of flow and has a maximum at a beam-vessel angle of 0 degrees , i.e., purely axial flow. A quantitative summary of the major factors causing speckle decorrelation indicates that flow gradients are the most significant contributors under the conditions modeled.     

Effects of axial, transverse, and oblique sample motion in FD OCT in systems with global or rolling shutter line detector

This study deals with effects on the interference signal caused by axial, transverse, and oblique motion in spectrometer-based Fourier-domain optical coherence tomography (FD OCT). Two different systems are compared-one with a global shutter line detector and the other with a rolling shutter. We present theoretical and experimental investigations of motion artifacts. Regarding axial motion, fringe washout is observed in both systems, and an additional Doppler frequency shift is seen in the system using a rolling shutter. In addition, both systems show the same SNR decrease as a result of a transversely and obliquely moving sample. The possibility of flow measurement by using the decrease in signal power was demonstrated by imaging 1% Intralipid emulsion flowing through a glass capillary. This research provides an understanding of the SNR degradation caused by sample motion and demonstrates the importance of fast data acquisition in medical imaging.     

Magnetic flow of viscous gas between rotating surfaces of revolution

In this work the steady laminar magnetic flow of viscous gas is considered in a narrow space (slot) between two surfaces of revolution rotating with constant angular velocities around a common axis of symmetry. The linearised equations of magnetic motion of the viscous gas flow for axial symmetry in the intrinsic curvilinear orthogonal coordinate system $\text{x, φ, y}$ are used. The obtained solutions of the equations of motion have been illustrated by examples of gas flow through the slot of constant thickness between rotating and fixed conical surfaces, and between rotating and fixed spherical surfaces.     

Induced flow in a curved tube by the oscillations of a rigid axial core

Summary When a rigid core in a curved tube of circular cross-section oscillates axially, the contained fluid acquires a composite motion that depends on the radius of the core relative to the radius of the tube and on the frequency of oscillation. For small values of the frequency, analytic solutions are derived for the axial and secondary flow, giving the flow configuration.With 4 Figures     

Electroosmotic and pressure-driven flow in open and packed capillaries: velocity distributions and fluid dispersion

The flow field dynamics in open and packed segments of capillary columns has been studied by a direct motion encoding of the fluid molecules using pulsed magnetic field gradient nuclear magnetic resonance. This noninvasive method operates within a time window that allows a quantitative discrimination of electroosmotic against pressure-driven flow behavior. The inherent axial fluid flow field dispersion and characteristic length scales of either transport mode are addressed, and the results demonstrate a significant performance advantage of an electrokinetically driven mobile phase in both open-tubular and packed-bed geometries. In contrast to the parabolic velocity profile and its impact on axial dispersion characterizing laminar flow through an open cylindrical capillary, a pluglike velocity distribution of the electroosmotic flow field is revealed in capillary electrophoresis. Here, the variance of the radially averaged, axial displacement probability distributions is quantitatively explained by longitudinal molecular diffusion at the actual buffer temperature, while for Poiseuille flow, the preasymptotic regime to Taylor-Aris dispersion can be shown. Compared to creeping laminar flow through a packed bed, the increased efficiency observed in capillary electrochromatography is related to the superior characteristics of the electroosmotic flow profile over any length scale in the interstitial pore space and to the origin, spatial dimension, and hydrodynamics of the stagnant fluid on the support particles' external surface. Using the Knox equation to analyze the axial plate height data, an eddy dispersion term smaller by a factor of almost 2.5 than in capillary high-performance liquid chromatography is revealed for the electroosmotic flow field in the same column.     

The dynamics of granular materials – towards grasping the fundamentals

The manufacture of a wide range of materials in particulate form currently has to rely upon a design basis that is not at all strong theoretically. The most developed methods exist in the design of storage vessels for particles but many weaknesses remain. In those areas of processing concerned with the development of product properties, the knowledge of the dynamics of granular motion is more rudimentary. However, we are now in a position where progress of a fundamental character elucidating the mechanisms operating in engineering systems can now be undertaken. This is illustrated by recent studies aimed at understanding how the axial motion of particles occurs in mixers which the particles are stirred mechanically by blades. Representation is possible in terms of an axial diffusion coefficient, for instance. A more physical approach reveals a cellular structure to the flow with transfers between cells limiting behaviour. The axial limits of these cells correspond to the plane of rotation of ploughshare blades or of the mechanical supports for long flat blades.     

Flows induced by the surface motions of a cylindrical sheet

Fluid flows induced by the surface stretching or shearing motion of cylindrical sheets are investigated. Steady and unsteady exact solutions of the Navier–Stokes equations are found for periodic axial shearing of an impermeable sheet and for periodic azimuthal stretching of a permeable sheet. Steady Stokes-flow solutions induced by the periodic axial stretching and the periodic azimuthal stretching of impermeable cylindrical sheets are also reported. In each case flows interior and exterior to a cylinder are considered, as well as the flow in the annulus between concentric cylinders.     

EXPERIMENTAL AND NUMERICAL STUDY OF THE PARTICLE FLUCTUATING MOTION INDUCED BY COLLISIONS BETWEEN PARTICLES IN A VERTICAL GAS-SOLID FLOW

The effect of interparticle collisions on the gravitational motion of large particles in a vertical convergent channel is experimentally and numerically investigated. A probabilistic collision model is implemented in a three-dimensional Monte Carlo type Lagrangian simulation code. The numerical predictions are compared to the experimental results. It is shown that an interparticle collision model is necessary to reproduce the experimentally observed particle fluctuating motion characteristics. The simulation results using the present probabilistic collision model are found to yield satisfactory agreement with experimental observations, even though the collision frequency seems to be slightly overestimated. In particular, reduction of initial anisotropy of the particle fluctuating motion with increasing particulate mass flow rate is well reproduced by the simulation. A rather good agreement is also observed between experimental results and quantitative predictions of statistical properties of the flow such as particle axial and transverse velocity distributions and standard deviations.     

Heat transfer and hydrodynamics of channelled cryogenic liquids in fields of centrifugal forces

This Paper reports experimental results on the hydrodynamics and heat transfer during a free-convective and forced motion of cryogenic liquids within a channel in the field of centrifugal forces. Investigations were carried out on the hydrodynamics and heat transfer of a two-phase flow of nitrogen and helium in the heated axial part of the ⊓-shaped duct in the 50–300 range of relative accelerations. It was found that during the free-convective motion the volume flow of liquid nitrogen, with heat fluxes varying from 3 × 10³ to 1 × 10⁴Wm⁻², increased more than 30 times. The volume flow is accompanied by large oscillations and increases with growing relative accelerations. The heat transfer coefficients also are shown to grow with the relative acceleration, which is due to an increase in the hydrostatic pressure at the radial inlet of the duct. Experimental results are presented concerning the heat transfer intensity during forced motion of two-phase helium along a heated axial channel of a rotating □-shaped duct at flow rates <- 7.5 × 10⁻⁵kgs⁻¹. At the relative acceleration of ≈ 100 the heat transfer and critical heat flux are observed to increase with the flow rate. At flow rates <- 10⁻⁴ kg s⁻¹the heat transfer to helium is the same as during pool boiling.     

Speckle-motion artifact under tissue shearing

Research has shown that, for a rotating phantom, the speckle pattern may not replicate the phantom motion, rather it may show a large lateral translation component in addition to rotation. This translation effect was labeled speckle-motion artifact. An image formation model has been shown to explain the phenomenon, pointing to the curvature of the imaging system point spread function (PSF) at the origin of this effect. The present paper extends this analysis and proposes a model, which predicts that a lateral motion artifact also would occur with shear motion. In the model, the artifact is found to be proportional to the shear angle and dependent of shear orientation, being maximal for shear that runs parallel to the axial direction; as for rotation, the artifact increases with frequency and beamwidth. This would mean that, when viewing a parabolic flow in the far field or with a highly curved PSF, an apparent contraction/expansion pattern in the direction of the vessel wall would be superimposed to the real velocity profile. In elastography, when viewing an inclusion subjected to an axial strain, four motion artifact regions are expected near the inclusion. The model is developed using the Fourier domain representation of the speckles for tissue-motion compensated signals, also called Lagrangian speckle. It can explain the artifact in terms of a simple spectral translation of a parabolic phase profile; given this, it is shown the artifact would be proportional to the lateral derivative of the axial displacement field. The spectral representation of Lagrangian speckle, for shear, also provides a simple geometrical interpretation for speckle decorrelation in terms of the shear strength and orientation, and in terms of the beam characteristics, i.e., the axial and lateral bandwidth.     

EXPERIMENTAL AND NUMERICAL STUDY OF THE PARTICLE FLUCTUATING MOTION INDUCED BY COLLISIONS BETWEEN PARTICLES IN A VERTICAL GAS-SOLID FLOW

ABSTRACT

The effect of interparticle collisions on the gravitational motion of large particles in a vertical convergent channel is experimentally and numerically investigated. A probabilistic collision model is implemented in a three-dimensional Monte Carlo type Lagrangian simulation code. The numerical predictions are compared to the experimental results. It is shown that an interparticle collision model is necessary to reproduce the experimentally observed particle fluctuating motion characteristics. The simulation results using the present probabilistic collision model are found to yield satisfactory agreement with experimental observations, even though the collision frequency seems to be slightly overestimated. In particular, reduction of initial anisotropy of the particle fluctuating motion with increasing particulate mass flow rate is well reproduced by the simulation. A rather good agreement is also observed between experimental results and quantitative predictions of statistical properties of the flow such as particle axial and transverse velocity distributions and standard deviations.     

Analysis of transient flow in pipelines with fluid–structure interaction using method of lines

A mathematical model is presented for transient flow in a pipeline with fluid–structure interaction. Water hammer theory and equations of axial motion for the pipeline are employed and the Poisson, junction and transient shear stress couplings are taken into account, which give rise to four coupled non‐linear, first‐order hyperbolic partial differential equations governing the fluid flow and pipe motion. These equations are discretized in space using the Keller box scheme and the method of lines is employed to reduce the partial differential equations to a system of ordinary differential equations. The resulting system is solved using a backward differentiation formulation method. The effect of transient shear stress on transient flow is investigated and the mechanisms underlying this effect are explored. The results revealed that the influence of transient shear stress can be significant and varies considerably, depending on the boundary conditions, viz, valve closure time. Copyright © 2005 John Wiley & Sons, Ltd.