An improved model of ER fluids in squeeze-flow through model updating of the estimated yield stress

In the squeeze-flow mode of operation, electrorheological (ER) fluid is placed between two electrodes, which are free to translate in a direction roughly parallel to the direction of the applied electric field. Consequently, the ER fluid is subjected to alternate tensile and compressive strokes and shearing of the fluid also occurs. Available displacements are small but large forces are available from compact devices and there are many potential applications, notably in vibration isolation.The present authors have spent several years developing mathematical models to account for the observed behaviour of ER fluids in squeeze-flow. Previous attempts at modelling squeeze-flow behaviour have been partially successful but there have always been discrepancies. These discrepancies have generally been attributed to the difficulty of estimating the yield stress developed within the ER fluid when an electric field is applied.In the present paper, the authors describe a new approach in which the yield stress is determined iteratively by minimizing the difference between observed and predicted values of the transmitted force. Using this technique, force/displacement and force/velocity plots are predicted and compared with values from an experimental facility. It is shown that agreement between model predictions and experimental observation is excellent and significantly better than those obtained using existing models.     

Stability of stratified fluid in porous medium in the presence of suspended particles and variable magnetic field

General equations governing the stability of stratified fluid in a stratified porous medium in the presence of suspended particles and variable horizontal magnetic field, separately, have been derived. Assuming stratifications in density, viscosity, suspended particles number density, medium porosity, medium permeability and a magnetic field of exponential form the dispersion relations have been obtained. Systems have been found to be stable for stable stratifications and unstable for unstable stratifications. A system which was unstable in the absence of magnetic field can be completely stabilized by a magnetic field for a certain wave-number range. The behaviour of growth rates with respect to fluid viscosity, medium permeability, suspended particles number density and magnetic field has been examined analytically.     

Stability criteria of Rayleigh ‐ Taylor modes in magnetized plasmas

The Rayleigh ‐ Taylor (RT) instability is investigated analytically in an inhomogeneous plasma in an external magnetic field. For the case of two distinct fluid layers separated by a sharp boundary and for a fluid of a continuously varying density, RT dispersion relations have been obtained and analyzed. Stability criteria of the excited modes are disscussed with respect to the mode propagation relative to the applied magnetic field. The magnetic field is found to act as a stabilizer up to a threshold value that can be determined from the dispersion relation.     

Ultra-low-frequency dust-electromagnetic modes in self-gravitating magnetized dusty plasmas

Obliquely propagating altra-low-frequency dust-electromagnetic waves in a self-gravitating, warm, magnetized, two fluid dusty plasma system have been investigated. Two special cases, namely, dust-Alfvén mode propagating parallel to the external magnetic field and dustmagnetosonic mode propagating perpendicular to the external magnetic field have also been considered. It has been shown that effects of self-gravitational field, dust fluid temperature, and obliqueness significantly modify the dispersion properties of these ultra-low-frequency dust-electromagnetic modes. It is also found that in parallel propagating dust-Alfvén mode these effects play no role, but in obliquely propagating dust-Alfvén mode or perpendicular propagating dust-magnetosonic mode the effect of self-gravitational field plays destabilizing role whereas the effect of dust/ion fluid temperature plays stabilizing role.     

Couette flow in ferrofluids with magnetic field

Instability of a viscous, incompressible ferrofluid flow in an annular space between two coaxially rotating cylinders in the presence of axial magnetic field has been investigated numerically. The magnetic field perturbations in fluid in the gap between the cylinders have been taken into consideration and these have been observed to stabilize the Couette flow.     

小尺寸传热面对磁性液体的强化自然对流换热

1引言磁性液体（MagneticFlu问是将超细的纳米级铁磁微粒稳定弥散于水、煤油、氟里昂等不同基液中而制成的胶体溶液．不同材料的超微粒子有着广泛的技术应用，如军用飞行器的隐身材料、固体火箭的高能添加剂、新型高效催化剂和高性能磁性材料等等．而用其制成的磁液在工业上有着更为广泛的应用，因而日、美、俄、英等国均已投入巨资，在这一领域进行竞争，其成果已经投入工业应用。根据1992年的统计，有关磁液的公开技术报告和论文已达到5000余篇，专利超过2100项l‘，‘］，有关产业的年产值已超过一亿美元K‘］磁液的应用非常广泛，归纳…     

Recent progress in flow visualization techniques toward the generation of fluid art

This paper describes recent progress in flow visualization techniques from the viewpoint of visual art incorporating fluid motion. The images of fluid art introduced here are categorized into four groups: the reflected or refracted patterns of free surface motion in nature and in a controlled environment, the coherent turbulent phenomena of fluid flow, and the fluid motion induced by the physical properties of fluids. It is shown that flow visualization techniques, which were originally developed in the field of engineering, have been successfully applied to the creation of artistic images.     

Rossby waves in the magnetic fluid dynamics of a rotating plasma in the shallow-water approximation

We have studied rotating magnetohydrodynamic flows of a thin layer of astrophysical plasma with a free boundary in the β-plane. Nonlinear interactions of the Rossby waves have been analyzed in the shallow-water approximation based on the averaging of the initial equations of the magnetic fluid dynamics of the plasma over the depth. The shallow-water magnetohydrodynamic equations have been generalized to the case of a plasma layer in an external vertical magnetic field. We have considered two types of the flow, viz., the flow in an external vertical magnetic field and the flow in the presence of a horizontal magnetic field. Qualitative analysis of the dispersion curves shows the presence of three-wave nonlinear interactions of the magnetic Rossby waves in both cases. In the particular case of zero external magnetic field, the wave dynamics in the layer of a plasma is analogous to the wave dynamics in a neutral fluid. The asymptotic method of multiscale expansions has been used for deriving the nonlinear equations of interaction in an external vertical magnetic field for slowly varying amplitudes, which describe three-wave interactions in a vertical external magnetic field as well as three-wave interactions of waves in a horizontal magnetic field. It is shown that decay instabilities and parametric wave amplification mechanisms exist in each case under investigation. The instability increments and the parametric gain coefficients have been determined for the relevant processes.     

LATTICE BOLTZMANN EQUATION MODEL IN THE CORIOLIS FIELD

In a large-scale field of rotational fluid, various unintelligible and surprising dynamic phenomena are produced due to the effect of the Coriolis force. The lattice Boltzmann equation (LBE) model in the Coriolis field is developed based on previous works.^[1-4] Geophysical fluid dynamics equations are derived from the model. Numerical simulations have been made on an ideal atmospheric circulation of the Northern Hemisphere by using the model and they reproduce the Rossby wave motion well. Hence the applicability of the model is verified in both theory and experiment.     

Experimental study and CFD simulation of rotational eccentric cylinder in a magnetorheological fluid

In this study, a magnetorheological (MR) fluid is prepared using carbonyl iron filings and low viscosity lubricating oil. The effects of magnetic field and weight percentage of particles on the viscosity of the MR fluid have been measured using a rotational viscometer. The yield stress under an applied magnetic field was also obtained experimentally. In the absence of an applied magnetic field, the MR fluid behaves as a Newtonian fluid. When the magnetic field is applied, the MR fluid behaves like Bingham plastics with a magnetic field dependent yield stress. Afterward, the results compared with those of CFD simulation of two eccentric cylinders in the MR fluid. Results show that the influences of MR effects, caused by the applied magnetic field, on the model characteristics are significant and not negligible. The viscosity is enhanced by increasing of the magnetic field, eccentricity ratio and weight percentage of suspensions. The MR effects and increasing of weight percentage and eccentricity ratio also provide an enhancement in the yield stresses and required total torque for rotation of inner cylinder. Also the simulation results indicate a good representation of the experiment by the model.     

Interacting Spinor and Scalar Fields in Bianchi Type I Universe Filled with Perfect Fluid: Exact Self-Consistent Solutions

In the framework of Bianchi I (BI) cosmological models a self-consistent system of interacting spinor and scalar fields has been considered. We introduced an interaction function F(I, J) which is an arbitrary function of invariants I and J, generated from the real bilinear forms of the spinor field. Exact self-consistent solutions to the field equations have been obtained for the cosmological model filled with perfect fluid. The initial and the asymptotic behavior of the field functions and of the metric one has been thoroughly studied.     

A solution for a charged sphere in general relativity

In the present paper the field equations of general relativity have been solved to obtain a solution for a static charged fluid sphere. This solution is free from singularity and satisfies the necessary physical conditions.     

电流变液的旋光与椭偏光行为

本文研究了电流变液(ER流体)的旋光行为及椭偏光行为.激光束垂直于电场方向,利用HeNe激光器对SiO₂、Si₃N₄和硅油组成的ER流体进行测量.发现电流变液样品存在旋光现象,且对于同一种浓度的ER流体,随着电场强度的增大,旋光角度增大.在同一电场强度下,旋光角度随着浓度的增大而增大.当浓度大于某一值c₀时,旋光角度开始减小,在不同电场强度下,透过电流变液的椭圆偏振光性质不发生改变,且随着电场强度的增大,透射光强度随之增大.电流变液的旋光行为及椭偏光行为起因于在电场作用下ER流体由各向同性的液体转变为各向异性的液体.     

Observation of fluid layering and reverse motion in double-walled carbon nanotubes

Most modelling-based research in the field of carbon nanotube-related nano-fluidics has been concerned with the fluid flow in single-walled carbon nanotubes (SWCNTs), showing that the dynamics of the channel affect the structure and behaviour of the fluid. We have extended this work by modelling the flow of Ar in a double-walled carbon nanotube, and have modelled the flow in both the inner shell and the outer annular region of such a nanotube. We have found that the flows in these channels are strongly correlated, such that the fluid moves in opposite directions in these two regions. This phenomenon can give rise to a circulatory motion which can be exploited in nano-fluidic devices. Fluid layering phenomenon, that is usually associated with the flow of fluids in nano-scale channels, is also observed. Furthermore, we have also found that the fluid velocity in dynamic channels is smaller than in static channels, in line with the findings reported for single-walled carbon nanotubes.     

Acoustic radiation generated by local excitation of submerged beams and strings

Free and forced motions of submerged one-dimensional waveguides have been investigated. Both the submerged beam and the submerged string can support a wave system which includes a pure surface wave in the fluid adjoining the waveguide, provided that certain conditions on the frequency (for the beam) or the physical parameters of the system (for the string) are satisfied. Dispersion curves are presented for steel beams and steel strings in water. Steady-state solutions have been derived for excitation by a concentrated time-harmonic load. The displacement responses at the point of application of the load and in the far field have been examined. Polar plots display and radiated far field in the fluid. At low frequencies the polar plots are circular in planes containing the waveguide, but the radiation pattern develops lobes as the frequency increases. Reflection, transmission and scattering into the fluid of an incident wave system by an elastic support of stiffness κ and mass m have also been examined, and the possibility of resonance phenomena has been investigated.     

Stability analysis of a Morris-Thorne-Bronnikov-Ellis wormhole with pressure

The model of a spherical Morris-Thorne-Bronnikov-Ellis wormhole is analyzed for stability. The matter of this wormhole is composed of a radial monopole magnetic field and a quasi-perfect phantom fluid. In the stationary case, the energy density of this fluid is negative and equal in magnitude to twice the energy density of the magnetic field. There is no pressure of this fluid in the stationary case (phantom dust), while in the case where the fluid energy density deviates from its stationary value, the pressure is proportional to the deviation of the energy density from its stationary value. An example of a wormhole stable against radial perturbations has been obtained.     

Fiber-optic evanescent field absorption sensor: A theoretical evaluation

A comparative study of the fiber-optic evanescent field absorption sensors based on parabolic, linear, and exponential-linear taper profiles has been carried out. The expressions for the effective evanescent absorption coefficient of the fluid have been derived for a diffuse source as well as a collimated source-microscope objective combination. It has been shown that the sensitivity of the sensor depends on the taper profile and the type of the source used in addition to the numerical aperture of the fiber and the refractive index of the fluid. For a given taper profile, the sensitivity is more in the case of the collimated source-microscope objective combination as compared to the diffuse source illumination. Further, the sensor with the exponential-linear taper profile is more sensitive than those having parabolic and linear profiles in the case of both sources.     

Sound radiation from a thin infinite plate in contact with a layered inhomogeneous fluid

In this paper the sound radiation from a thin infinite plate in contact with a layered inhomogeneous fluid subjected to single point excitation is studied. Sources contributing to the inhomogeneity are discussed, and the fluid is analytically expressed as a layered inhomogeneous field. Using Hankel transform, the equations governing the fluid-structure interaction are solved. The asymptotic form of the radiation pressure at far field is obtained using the method of stationary phase. Numerical examples show that the sound radiation patterns from a plate in contact with an inhomogeneous fluid is much more complicated than that in a homogeneous fluid. Three different radiation patterns (bell, disc, and their combination) were observed in the numerical examples, and the radiation patterns are sensitive to the field parameters. Depending on frequency, the sound pressure at far field is either magnified or reduced compared with that in a homogeneous fluid. And beyond some frequency the sound pressures are almost zero.     

The physics of liquid metals

Liquid metals have many fluid properties in common with non-metallic liquids, and many metallic properties in common with solid metals. In recent years experimental techniques familiar in solid-state physics have been helping to increase our empirical knowledge of fluid metals. At the same time attempts have been made to form conceptual links between liquid-state physics and metal physics. The article describes some of the current activity in this field, reviews some of the progress that has been made, and points out some of the major difficulties.