DROP FORMATION FROM A CAPILLARY TUBE IN THE PRESENCE OF SURFACTANT 1)

本文研究了竖直毛细圆管出口表面活化剂包覆液滴的形成过程。基于泰勒展开和润滑近似理论, 建立了液滴形成过程的一维动力学模型,并且通过坐标变换和有限差分的方法进行了数值求解。结果显示, 液滴自由面上表面活化剂包覆层可促进液滴颈部断裂,加快液滴头部与尾部锥形区的分离过程。与此同时, 还可增大颈部断裂前液滴下落的极限位移。与表面活化剂的活性相比, 液滴自由面上表面活化剂浓度的变化对液滴形成过程以及液滴形貌变化的影响更为显著。     

运动状态下液体轴对称抛撒首次破碎的实验研究

在实验室条件下利用组合式激波管设备,对运动状态下液体轴对称抛撒进行了实验研究。通过纹影装置获得其所形成雾化场的外形轮廓照片,测量获得了液核发生首次破碎的位置与对称轴之间的距离。通过对抛撒过程中R-T不稳定性与K-H不稳定性的分析认为,轴向气流作用下液体轴对称抛撒的首次破碎点与对称轴的距离主要由轴向气流的速度、轴向气流的密度、液体轴对称抛撒的出口速度、抛撒液体的表面张力系数、环形喷口的宽度等参数所决定。在此基础上,利用相似性理论和无量纲分析,获得了运动状态下液体轴对称抛撒首次破碎点与对称轴之间的距离与相关参数的无量纲关系式。     

基于移动粒子半隐式法的表面张力模拟

采用移动粒子半隐式法(MPS)模拟了受表面张力影响的自由面流动。表面张力的计算采取了一种较适合于MPS方法的表面自由能模型。方形液滴振荡和射流断裂的模拟结果分别与理论分析和试验结果一致,同时进行了三维射流注水模拟,从而验证了MPS方法结合该表面张力模型可以有效、方便地进行自由面流动中表面张力现象的模拟。     

Mathematical Modeling for One New Method of Breaking Ice Cover

The spatial problem of determining the stress-strain state of an ice plate of finite thickness broken by a patented method is solved using the theory of small elastoplastic strains and a proven numerical method. __________ Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 2, pp. 139–146, March–April, 2006.     

在轴向气流作用下液体轴对称抛撒二次破碎的实验研究

液体轴对称抛撒的实验研究是以云雾爆轰武器的研制为背景的。为了研究轴向气流作用下液体轴对称抛撒二次破碎所形成的雾化场特性,本文利用两台激波管并对之加以改造,成功地在实验室实现了轴向气流作用下液体的轴对称抛撒。为了研究其雾化场的远场特性,本文利用激光粒子测量仪获得了在不同实验工况和不同位置下的雾化场SMD分布曲线。实验数据表明,由于轴向气流速度的增加,液体破碎的Weber数得到了提高,导致二次破碎初期雾化场的SMD随之减小;随着抛撒驱动压力的提高,二次破碎初期雾化场的SMD也随之减小;在同一工况下,雾化场SMD随着测量位置与喷口距离的增加而变大。     

A rationally-based correlation of mean fragment size for drop secondary breakup

A correlation was derived for the Sauter mean diameter of fragments produced in the bag and multimode drop breakup regimes for drops having Ohnesorge numbers less than 0.1. Development of the correlation focused on the growth of capillary instabilities on the toroidal rim seen during the final stages of bag breakup. The model linked the time scale for drop breakup and the time scale associated with growth of the unstable waves. The instability scale was approximated from the results of linear stability theory for capillary waves on liquid cylinders. The drop breakup scale was based on correlations available in the literature for drops subjected to a rapid (relative to drop deformation time scales) rise in relative velocity. Though development focused on bag breakup, the resultant expression was also shown to correlate the multimode regime data reasonably well.     

瞬变流中气泡动力过程研究

微气泡的生成等基础问题制约着鼓泡脱气技术的发展。本文基于对文丘里鼓泡器内流场的研究,对不同雷诺数下的气泡动力特性进行研究,采用大涡模拟和流体体积法相结合的数值模拟方法,对气泡在不同瞬时动态变化流场下的动力特性进行研究,通过分析气泡在不同湍流下的表面积,气泡球度,以及气泡表面所处的湍流应力,计算气泡所受的破坏应力与聚合应力之比,得到气泡的临界韦伯数随气泡在瞬变湍流中的变化过程,分析气泡破碎的临界条件。     

Investigation of droplet size distribution for liquid-liquid emulsions in Taylor-Couette flows

In this paper, we investigate oil-in-water emulsions in a Taylor-Couette flow. A high-speed camera was employed to record the formation of those emulsions, and image processing was used to obtain the diameter of the droplets. No surfactants were added in order to study the pure effect of the fluid dynamical forces on the droplets. The results for three different oil-in-water emulsions show that the Sauter mean diameter considerably depends on the local shear rate and the material properties and that the droplet size distribution follows a log-normal distribution. We, therefore, propose to express the Sauter mean diameter normalized by Prandtl mixing length in terms of a correlation, which is based on the Kolmogorov turbulence theory. This correlation subsequently depends on the local shear rate and the material properties such as viscosity, density, and interfacial tension. The predictions of the correlation show fairly good agreement with the experimental measurement the Sauter mean diameter. Finally, comparing the predictions of the correlation to the data presented by Eskin et al. [Chem. Eng. Sci. 161 36–47; 2017] shows excellent agreement in the case, where the droplets are larger than the Kolmogorov length scale.     

Heat capacities of solid polymers

The heat capacity of a solid polymer is governed by the manner in which the internal energy is distributed over the various degrees of freedom. If the internal energy manifests itself in harmonic oscillatory motions, the heat capacity is the sum of contributions of the normal modes of motion. In practice, full frequency data are not generally available for polymers. This paper proposes an empirical method for determining the heat capacities of linear high polymers by the addition of contributions from different chain segments. A survey of heat capacity data for 30 linear high polymers and several copolymer systems has revealed that additivity is usually valid for a temperature range from about 60°K to the glass-transition temperature. A table of heat capacity contributions of a number of polymer constituents is derived which permits the calculation of unknown heat capacities to an accuracy of ±5% or better. In addition, δC_p data for the increase of the heat capacity at the glass-transition temperature were found to agree with the rule of constant heat capacity increase per mole of “bead” proposed 8 years ago.