Numerical analysis of the nonlinear vibration of axisymmetric liquid bridges

The vibration of axisymmetric liquid bridges is analyzed numerically in the framework of the one-dimensional approximation. Nonlinear effects on both the interface deformation and velocity field are studied. The solutions of the Lee, average, and Cosserat models are compared. For the Cosserat model, the results are compared with those obtained from an asymptotic analysis performed in the Plateau–Rayleigh stability limit. In addition, some results concerning the influence of the viscosity on the linear vibrations are reported.     

Experimental study of dynamic plasticity at elevated temperatures

In this paper it is shown that the diffraction-grating technique and the optical-displacement technique used by the writer for the study of plastic wave propagation at room temperature, may both be extended to within 100° F of the melting point of aluminum. In addition to the measurement of stress history at the impact face obtained by the extension of the load-bar technique to elevated temperatures, strain-time, surface angle-time, time of contact, coefficient of restitution, and displacement-time behavior at the free end of the struck specimen may all be determined at elevated temperatures. Typical strain-time behavior is shown at 800, 1000, and 1100° F, for three types of impact situations.     

Experimental study of hypervelocity impacts at low temperatures

This paper reports the results of hypervelocity impact (HVI) experiments on cryogenic aluminum alloys at 122 K. Target plates were impinged by room temperature aluminum spheres at speeds ranging from 1 to 3.7 km/s in air at 10 Pa. The results were compared with HVI results at room temperature. We visualized the HVI processes by shadowgraph and recorded them with a digital high-speed video camera. We showed temperature effects of target plate physical properties on the formation of debris clouds and impact craters and hence the shielding efficiency of aluminum alloys at low temperature.      

Experimental flow study over a blunt-nosed axisymmetric body at incidence

The flowfield over a blunt-nosed cylinder was examined experimentally at a low subsonic speed for Re=1.88×10⁵ and angles of attack up to 40°. Velocity measurements were carried out (employing a seven-hole Pitot tube) as well as wall static pressure and wall shear-stress measurements. Surface flow visualization was applied using liquid crystals and a mixture of oil–TiO₂. For all the examined cases no flow asymmetries were found. For high angles of attack (20° and above) a separation “bubble” appears at the leeside of the nose area (streamwise flow separation). The basic feature of the circumferential pressure distribution at the after body area for these angles of attack is a plateau close to the suction peak and a fast recovery next to it. One streamwise vortex on each side of the symmetry plane is formed as well as a separation bubble about 90° far from this plane, where the cross-flow primary separation line is located. Each cross-flow primary separation line starts at the leeside nose area and moves towards the windward side along the cylindrical after body. The space between the two primary separation lines close to the wall is characterized by high flow fluctuations on the leeside, compared to the low fluctuations of the windward side.     

Experimental study of the free surface deformation due to thermal convection in liquid bridges

Optical imaging was used to measure the free surface deformation due to thermal (Marangoni-buoyant) convection in liquid bridges of 5-cSt silicone oil. We obtained the free surface position averaged over time in both the steady and oscillatory regimes. The deviation of the free surface contour from the corresponding equilibrium shape was determined with an uncertainty of about 2 μm. This deviation grew linearly with the applied temperature difference with a proportionality coefficient depending on the liquid bridge volume at equilibrium. Shrinkage at the upper part of the liquid bridge was slightly greater than bulging at the lower with the sum of the maximum deviations at both parts being about 30 μm near the onset of oscillations. This sum, normalized with the radius of the supporting disks, was of the same order of magnitude as the Capillary number. We observed the influence of thermal expansion, surface tension variation over the free surface, and fluid motion separately. The local mean curvature was also calculated and compared with its value at equilibrium, showing that the hydrodynamic effects were important.     

固、液相FAE一次引爆实验研究

基于离散爆轰思想,进行了小药量无约束空间固、液相燃料空气炸药(fuelairexplosive,简称FAE)弹体的野外一次引爆实验。实验结果表明,固、液相FAE弹体的爆炸效果均明显优于等质量的TNT装药;固相FAE弹体一次引爆后的云雾分散规律和爆炸压力场分布不同于液相FAE弹体。在本实验装置条件下,固相FAE弹体的远场超压增长峰值虽未超过等质量的液相FAE弹体,但其火焰持续时间却比等质量液相FAE弹体的长。若仅考察弹体云雾最大半径,固相FAE弹体并不比等质量的液相FAE弹体优越太多,但固相FAE弹体的爆炸作用体积增大较多。     

Characteristic stability parameter of the axisymmetric equilibrium surface of a capillary liquid

In [1] the question of stability of the equilibrium state of a capillary liquid in weak force fields was reduced to determination of conditions such that the smallest eigenvalue λ* of a certain boundary problem would be positive. In [2] it was shown that λ* is a monotonic function of the parameter χ, dependent on the form of the vessel. The basic properties of the function λ*(χ) were also described. In the present study, these properties are used to study the general problem of stability of an axisymmetric liquid surface. A method for calculation of the critical values of the parameter χ and construction of the maximum stability region is given. Special attention is given to the cases of complete weightlessness, and action of gravitational and centrifugal forces. Critical values of the parameter χ are presented for these cases either graphically or analytically, which, given the shape of the vessel, permits evaluation of the stability of any of the family of axisymmetric equilibrium surfaces. We note that in the case of action by gravitational forces χ values for certain equilibrium surfaces were obtained by Barnyak.     

Experimental data of solubility at different temperatures: a simple technique

This article describes a simple and inexpensive experimental technique, easy to set-up in a laboratory, for the measurement of solute solubilities in liquids (or gases). Experimental values of solubility were determined for the dissolution of benzoic acid in water, at 293–338 K, of 2-naphthol in water, at 293–373 K, and of salicylic acid in water, at 293–343 K. The experimental results obtained are in good agreement with the theoretical values of solubilities presented in literature. Empirical correlations are presented for the prediction of solubility over the entire range of temperatures studied, and they are shown to give the solubility value with very good accuracy.     

Experimental study of turbulent axisymmetric cavity flow

An experimental study is made of turbulent axisymmetric cavity flow. The flow configuration consists of a sudden expansion and contraction pipe joint. In using the LDV system, in an effort to minimize refraction of laser beams at the curved interface, a refraction correction formula for the Reynolds shear stress is devised. Three values of the cavity length (L = 300, 600 and 900 mm) are chosen, and the cavity height (H) is fixed at 55 mm. Both open and closed cavities are considered. Special attention is given to the critical case L = 600 mm, where the cavity length L is nearly equal to the reattachment length of the flow. The Reynolds number, based on the inlet diameter (D = 110 mm) is 73,000. Measurement data are presented for the static wall pressure, mean velocity profiles, vorticity thickness distributions, and turbulence quantities.List of symbols C _f velocity correction factor - C _p static wall pressure coefficient - D diameter of inlet pipe = 110 mm - H step height or difference in radii of two pipes = 55 mm - L cavity length = 300, 600 and 900 mm - n _a , n _w , n _f refraction indices of the medium between the transmitting lens and window, the window itself, and the working fluid - signal validation rate in LDV, Hz - P wall static pressure, Pa - P _ref wall static pressure at x = -70 mm, Pa - r radial distance from centreline, m - r _a radial position of the virtual intersection, m - r _d radial location of the dividing streamline, m - r _f radial position of the real beam intersection, m - Re Reynolds number based on the inlet diameter - R _i inner radius of the cylindrical cavity=110 mm - t thickness of the window, m - T ₁ integral time scale, s - U streamwise mean velocity, m/s - U _c centreline mean velocity, m/s - U _ref maximum upstream velocity at x= -70 mm, m/s - r.m.s. intensity of streamwise, radial and circumferential velocity fluctuations respectively, m/s - Reynolds shear stress, m²/s² - x distance in the streamwise direction, m - x _a streamwise position of virtual intersection, m - x _f streamwise position of real beam intersection, m - x _r mean reattachment length, m - x nondimensional streamwise distance - y distance normal to the wall=R–r, m Greek symbols vorticity thickness - stream function of dividing streamline      

A stability theorem for a mixture of two viscous fluids at different temperatures

Archive for Rational Mechanics and Analysis -     

温度压力对瓦斯爆炸危险性影响的实验研究

为了研究瓦斯的爆炸危险性,选取对其影响较大的初始温度和初始压力进行实验研究。运用特殊环境20 L爆炸特性测试系统,对不同初始温度(25~200 ℃)和初始压力(0.1~1.0 MPa)条件下瓦斯的爆炸极限、最大爆炸压力和点火延迟时间进行实验研究。结果表明:高温高压条件使瓦斯的爆炸上限升高、下限降低,爆炸极限范围扩大;随着初始温度升高,瓦斯爆炸的最大爆炸压力逐渐减小;初始温度越高,点火延迟时间越短。通过对实验结果的分析,运用安全原理知识和危险度定义,给出初步评估瓦斯爆炸危险性的方法。     

Force and shapes of liquid bridges between circular pads

An analytical model is presented relating the shape of an axisymmetric liquid bridge in terms of volume,v, height,h, bounding radius,r, and contact angle, , to the residual force,f, resulting from the surface tension at the liquid-vapor interface. The model is based on the assumption that gravity is negligible and the surface of the liquid bridge possesses constant mean curvature. Measurements are made of the height, bounding radius, contact angle and force for known volumes of individual, axisymmetric liquid bridges between parallel plates. Force and height comparisons are made for mercury on aluminum plates, mercury on polysiloxane-coated plates and water on polysiloxane-coated plates in air for dimensionless volumes (v/r ³) of 10 and 18. Comparisons with model predictions are also made for mercury bridges spanning a contact angle range between 138 deg and 150 deg. Finally, the shapes of liquid bridges are compared to analytical predictions. The results suggest that the constant mean curvature model, even when gravity is neglected, is an appropriate design tool that can be useful for specifying solder volumes and standoff heights for solder grid array packages.     

Experimental study of the atomization of drops of liquid at low Reynolds numbers

Some results of an experimental investigation into the deformation and atomization of drops of liquid at low Reynolds numbers are presented; these were obtained in a specially constructed apparatus in which a low-pressure flow of helium was used in order to reduce the Reynolds numbers. The values of the critical Weber numbers in a state of static deformation were equal to 15–22, in fair agreement with theory.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 182–186, March–April, 1971.     

Investigation of the solid impurity distribution in axisymmetric nozzles

Results are presented of an experimental investigation of the influence of the entrance conditions, the coarseness of the solid impurities (the nozzle scale), the profiles of the sub- and transonic parts of the nozzle, and the initial concentration on the discrete phase distribution in the exit sections of axisymmetric nozzles. It is shown that profiling of the subsonic part of the nozzle plays a governing role as compared with the transonic part, and the greatest filling of the supersonic nozzle section by a solid impurity is observed in the conical entrance. The nonuniformity of the parameter distribution at the nozzle entrance does not substantially alter the solid impurity distribution at the exit.     

Lattice Boltzmann study of the interaction between a single solid particle and a thin liquid film

The isothermal single-component multi-phase lattice Boltzmann method(LBM) combined with the particle motion model is used to simulate the detailed process of liquid film rupture induced by a single spherical particle.The entire process of the liquid film rupture can be divided into two stages.In Stage 1,the particle contacts with the liquid film and moves into it due to the interfacial force and finally penetrates the liquid film.Then in Stage 2,the upper and lower liquid surfaces of the thin fi...     

爆炸驱动固/液介质爆炸抛撒的实验研究

针对爆炸驱动固/液介质抛撒混合过程设计了透明双层抛撒装置。采用高速运动分析系统记录抛撒装置壳体破碎和固/液界面、固/液介质抛撒形态的演变过程,结果表明:壳体裂纹的产生和断裂首先出现在轴向方向;固/液界面在外层壳体破碎之前清晰可见,表明固/液介质的混合主要发生在壳体破碎之后;导爆索驱动下呈现滑移爆轰驱力特征,介质抛撒形状呈倒圆台形,不同截面处的介质运动速度随截面到起爆端轴向距离的增大而减小。     

Experimental study of shock-accelerated liquid layers

An experimental investigation of a shock wave interacting with one, or several, liquid layer(s) is reported with a motivation towards first wall protection in inertial fusion energy reactor chamber design. A 12.8 mm or 6.4 mm thick water layer is suspended horizontally in a large vertical shock tube in atmospheric pressure argon and subjected to a planar shock wave of strength ranging from M = 1.34 to 3.20. For the single water layer experiments, the shock-accelerated liquid results in a significant increase in end-wall pressure loading (and impulse) compared with tests without water. The end-wall loading can be reduced by more than 50% for a given volume of water when it is divided into more than one layer with interspersed layer(s) of argon. A flash X-ray technique is employed to measure the volume fraction of the shocked water layer and multiple water layers are found to dissipate more energy through the liquid fragmentation process resulting in increased shock mitigation.