Behavior of nonlinear fluid viscous dampers for control of shock vibrations

Fluid viscous dampers have been widely used for suppression of high velocity shocks. While linear fluid viscous dampers have been used for a long time, nonlinear fluid viscous dampers show considerable promise due to their superior energy dissipation characteristics and significant reduction in the damper force compared to a linear fluid viscous damper for the same peak displacement. This paper presents results from experimental study to characterize fluid viscous dampers when subjected to half-cycle sine shock excitation. The mathematical formulation and a numerical study to evaluate the relative performance of structures with fluid viscous dampers subjected to short-duration shock (impulse) loading are also discussed. The influence of damper nonlinearity (α) and the supplemental damping ratio (ξ_sd) on response has been investigated. The supplemental damping ratio of nonlinear fluid viscous dampers when subjected to shock excitation is found by equivalent linearization using the concept of equal energy dissipation. The paper also presents some design charts, which can be used for preliminary decisions on parameters of nonlinear dampers to be used in design.     

Local entropic effects of polymers grafted to soft interfaces

In this paper, we study the equilibrium properties of polymer chains end-tethered to a fluid membrane. The loss of conformational entropy of the polymer results in an inhomogeneous pressure field that we calculate for Gaussian chains. We estimate the effects of excluded volume through a relation between pressure and concentration. Under the polymer pressure, a soft surface will deform. We calculate the deformation profile for a fluid membrane and show that close to the grafting point, this profile assumes a cone-like shape, independently of the boundary conditions. Interactions between different polymers are also mediated by the membrane deformation. This pair-additive potential is attractive for chains grafted on the same side of the membrane and repulsive otherwise. Received 20 April 2000     

Observation of nonlinear acoustic effects at isotropic solid-solid interfaces

The second harmonic generation of SV shear waves at isotropic solid-solid interfaces is experimentally studied. The amplitude of shear waves is measured for the interfaces of glass-air, glass-iron, glass-copper, and glass-aluminum. The measured angular relation of amplitude of the second harmonic wave is compared with theory and the agreement is reasonably good. The influence of the physical state of the interface on second harmonic generation is also observed. It is found that the second harmonic generation is sensitive to the interface state.     

Spontaneous growth of fluctuations in the viscous flow of a fluid past a soft interface

The flow induced instability in the flow past a soft material is studied in the limit of low Reynolds number where inertial effects are insignificant. A transition from laminar flow to a more complicated flow profile is observed when the strain rate of the base flow increases beyond a critical value; the transition is found to be reproducible. The experimental results are compared with theoretical predictions and quantitative agreement is found with no adjustable parameters.     

On the principle of minimum kinetic energy dissipation in the nonlinear dynamics of viscous fluid

By the direct numerical integration of the complete set of the Navier-Stokes equations, it is found that the minimum kinetic energy dissipation principle, or the Helmholtz principle, is realized in some internal flows of a viscous fluid. Studies are conducted for the Reynolds numbers from 2 to 20. A class of problems where this principle takes place is considered.     

Localization of nonlinear waves between interfaces

Stationary localized states of nonlinear waves propagating in a focusing medium along two plane-parallel interfaces repulsing the wave flux are investigated analytically. It is established that the nonlinear wave beam can be localized in the region between these interfaces.     

Structure of fluid interfaces: an integral equation study

We develop a method for treating an interface between coexisting fluid phases to study its structure and thermodynamical properties. Our approach includes calculated correlation functions. Approximations are intrinsically optimized. The method is successfully applied to the liquid vapour surface of a Lennard-Jones fluid, to the liquid–liquid interface of a demixing system and to the surface of a Stockmayer liquid towards vapour. In all cases we compare our results to simulations. The agreement with simulation results demonstrates the reliability of our approximations and shows that the technique we applied provides a powerful and robust method for studying inhomogeneous fluids.     

Collapse of a radiating viscous fluid

Recently a model of a classical collapsing radiating viscous fluid has been proposed by Lake. We study the history of the collapsing surface of the viscous fluid under the equations of state ζ = α?^v and p = λ? (ζ is the bulk viscosity coefficient, ? is the energy density, p is the pressure, α, v and λ are constants).     

The Cosserat continuum and a viscous fluid

It is shown that the antisymmetric deviator part of a couple-stress tensor in the Cosserat equations of equilibrium is associated with the friction of a fluid. There seems to be no need of considering boundary conditions when studying a viscous flow in the light of this theory.     

Laser-induced hydrodynamic instability of fluid interfaces

We report on a new class of electromagnetically driven fluid interface instability. Using the optical radiation pressure of a cw laser to bend a very soft near-critical liquid-liquid interface, we show that it becomes unstable for sufficiently large beam power P, leading to the formation of a stationary beam-centered liquid microjet. We explore the behavior of the instability onset by tuning the interface softness with temperature and varying the size of the exciting beam. The instability mechanism is experimentally demonstrated. It simply relies on total reflection of light at the deformed interface whose condition provides the universal scaling relation for the onset P(S) of the instability.     

Slip effects on streamline topologies and their bifurcations for peristaltic flows of a viscous fluid

We discuss the effects of the surface slip on streamline patterns and their bifurcations for the peristaltic transport of a Newtonian fluid. The flow is in a two-dimensional symmetric channel or an axisymmetric tube. An exact expression for the stream function is obtained in the wave frame under the assumptions of long wavelength and low Reynolds number for both cases. For the discussion of the particle path in the wave frame, a system of nonlinear autonomous differential equations is established and the methods of dynamical systems are used to discuss the local bifurcations and their topological changes. Moreover, all types of bifurcations and their topological changes are discussed graphically. Finally, the global bifurcation diagram is used to summarize the bifurcations.     

Rotational oscillations of solid cylinder and viscous fluid

A new exact solution of a problem for motion equations of a solid and ambient viscous fluid is found.     

Nonlinear vibration of viscoelastic embedded-DWCNTs integrated with piezoelectric layers-conveying viscous fluid considering surface effects

This article studies the nonlinear vibration of viscoelastic embedded nano-sandwich structures containing of a double walled carbon nanotube (DWCNT) integrated with two piezoelectric Zinc oxide (ZnO) layers. DWCNT and ZnO layers are subjected to magnetic and electric fields, respectively. This system is conveying viscous fluid and the related force is calculated by modified Navier–Stokes relation considering slip boundary condition and Knudsen number. Visco–Pasternak model with three parameters of the Winkler modulus, shear modulus, and damp coefficient is used for simulation of viscoelastic medium. The nano-structure is simulated as an orthotropic Timoshenko beam (TB) and the effects of small scale, structural damping and surface stress are considered based on Eringen's, Kelvin-voigt and Gurtin–Murdoch theories. Energy method and Hamilton's principle are employed to derive motion equations which are then solved using differential quadrature method (DQM). The detailed parametric study is conducted, focusing on the combined effects of small scale effect, fluid velocity, thickness of piezoelectric layer, boundary condition, surface effects, van der Waals (vdW) force on the frequency and critical velocity of nano-structure. Results indicate that the frequency and critical velocity increases with assume of surface effects.     

Swirling of viscous fluid threads in microchannels

Viscous threads that are swept along in the flow of a less viscous miscible liquid can break up into viscous swirls. We experimentally investigate the evolution of miscible threads that flow off center in microchannels. Thin threads near the walls of a straight square channel become unstable to shear-induced disturbances. The amplification of the undulations transverse to the flow direction ultimately causes the threads to break up and form an array of individual viscous swirls, the miscible counterparts of droplets. This swirling instability provides a means for passively producing discrete diffusive microstructures in a continuous flow regime.     

Collective dynamics of colloids at fluid interfaces

The evolution of an initially prepared distribution of micron-sized colloidal particles, trapped at a fluid interface and under the action of their mutual capillary attraction, is analyzed by using Brownian dynamics simulations. At a separation λ given by the capillary length of typically 1mm, the distance dependence of this attraction exhibits a crossover from a logarithmic decay, formally analogous to two-dimensional gravity, to an exponential decay. We discuss in detail the adaptation of a particle-mesh algorithm, as used in cosmological simulations to study structure formation due to gravitational collapse, to the present colloidal problem. These simulations confirm the predictions, as far as available, of a mean-field theory developed previously for this problem. The evolution is monitored by quantitative characteristics which are particularly sensitive to the formation of highly inhomogeneous structures. Upon increasing λ the dynamics shows a smooth transition from the spinodal decomposition expected for a simple fluid with short-ranged attraction to the self-gravitational collapse scenario.     

Spectroscopic investigation of buried interfaces and liquids with soft X-rays

When, in general, two entities interact, they do it by forming an interface. The properties of such interfaces are determined not only by the properties of the two interface partners, but also to a large degree by the peculiarities of the interface-formation process itself. This is of particular importance in solid-state devices composed of two or more different materials. Unfortunately, the investigation of such interfaces is very difficult for two reasons. First they are, by their nature, buried. Secondly, interfaces generally form a thin layer within a larger ensemble and thus give very weak signals. Nevertheless, a few experimental techniques are available to study such buried interfaces. This report demonstrates that a combination of soft-X-ray spectroscopies (X-ray emission, photoemission, and X-ray absorption) is extremely well suited for this task. As examples, the electronic and chemical properties of several material systems are discussed, including II–VI semiconductors, Cu(In,Ga)(S,Se)₂ thin-film solar cells, organic thin films, and liquids. PACS 82.80.Ej; 73.20.-r; 68.35.Fx     

Blockage effects on viscous fluid flow and heat transfer past a magnetic obstacle in a duct

The effect of lateral walls on fluid flow and heat transfer is investigated when a fluid passes a magnetic obstacle. The blockage ratio β that represents the ratio between the width of external magnet M y and the spanwise width L y is employed to depict the effect. The finite volume method (FVM) based on the PISO algorithm is applied for the blockage ratios of 0.2, 0.3, and 0.4. The results show that the value of Strouhal number St increases as the blockage ratio β increases, and for small β , the variation of St is very small when the interaction parameter and Reynolds number are increasing. Moreover, the cross-stream mixing induced by the magnetic obstacle can enhance the wall-heat transfer and the maximum value of the overall heat transfer increment is about 50.5%.     

具有非均匀渐变界面DBR的光学特性分析

应用特征矩阵法研究了非均匀渐变界面Al_0.9Ga_0.1As/Al_yGa_1-yAs/GaAs/Al_xGa_1-xAs DBR的光学特性.建立了非均匀渐变界面Al_yGa_1-yAs的折射率模型，并得到了渐变界面特征矩阵的解析解，通过特征矩阵法分别计算了突变GaAs/Al_0.9Ga_0.1As DBR和渐变DBR的反射谱和反射相移，分析了非均匀渐变层对DBR光学特性的影响，对渐变DBR，需要在DBR前面再增加一定厚度的非均匀渐变相位匹配层才能使整个DBR满足中心波长相位匹配条件，并通过光学厚度近似方法求出相位匹配层厚度. 关键词： DBR 反射谱 反射相移 特征矩阵法