Effects of Bubble Spacings on Interface Properties and Wake Flow for 2 Contaminated Spherical Bubbles
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摘要: 为了理解气泡间相互作用对受污染气泡水动力学特性的影响,基于改进的停滞帽模型,以表面活性剂作为污染介质,详细研究了不同气泡间距下气泡的界面参数、周围流场和尾涡特性.通过求解气泡界面与流域间的吸附和解析方程,考虑局部流动以及Marangoni效应的影响,形成稳定的污染界面.借助Langmuir方程将界面切应力与界面表面活性剂浓度相关联,实现气泡界面切应力的求解.研究发现,改变两气泡的间距,不会显著影响气泡1的界面参数,而对气泡2的界面参数影响巨大.气泡1尾涡向气泡2上游界面的逼近是气泡2界面参数改变的主要原因,该尾涡对气泡2界面上表面活性剂分布的影响与对流作用相反,其可以把流向气泡2尾部的表面活性剂拖回气泡上游界面,从而影响气泡2的界面参数分布,并出现了低影响与高影响阶段.而且气泡1的尾涡长度和涡中心垂直位置的值受气泡2上游界面浓度和气泡间距的共同影响,气泡2各尾涡参数值随上游界面浓度的增加而减小直至为零.Abstract: To understand the influence of the interaction between contaminated bubbles on the hydrodynamic characteristics, with a surfactant as the contamination medium, the interface parameters, the flow field and the wake characteristics of bubbles with different spacings were investigated with the improved stagnation cap model. A stably contaminated interface was formed through solution of the adsorption and desorption equations between the bubble interface and the fluid zone, and in view of the influence of the local flow and the Marangoni effect. The Langmuir equation was used to correlate the shear stress with the surfactant concentration of the interface to evaluate the bubble interface shear stress. The results indicate that, the change of the bubble spacing cannot significantly influence the interface parameters of bubble 1, but has great effects on those of bubble 2. The wake vortex of bubble 1 approaches the upstream interface of bubble 2, which changes the interface parameters of bubble 2. The influence of the wake vortex on the surfactant distribution on the interface of bubble 2 is different from that of the convection, which can drag the surfactant on the downstream interface of bubble 2 back to the upstream one, thus changing the distribution trend of the interface parameters of bubble 2, and there appear low and highinfluence stages. The vortex length and the vertical position of the vortex center of bubble 1 depend on the interface concentration on the upstream interface of bubble 2 and the bubble spacing. The vortex parameters of bubble 2 decrease with its interface concentration on the upstream interface till zero.
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Key words:
- interfacial contaminated bubble /
- bubble spacing /
- interface parameter /
- local flow field
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[1] TAKAGI S, MATSUMOTO Y. Surfactant effects on bubble motion and bubbly flows[J]. Annual Review of Fluid Mechanics,2011,43(1): 615-636. [2] PALAPARTHI R, PAPAGEORGIOU D T, MALDARELLI C. Theory and experiments on the stagnant cap regime in the motion of spherical surfactant-laden bubbles[J]. Journal of Fluid Mechanics,2006,559: 1-44. [3] CUENOT B, MAGNAUDET J, SPENNATO B. The effects of slightly soluble surfactants on the flow around a spherical bubble[J]. Journal of Fluid Mechanics,1997,339: 25-53. [4] JAREK E, WARSZYNSKI P, KRZAN M. Influence of different electrolytes on bubble motion in ionic surfactants solutions[J]. Colloids and Surfaces A: Physicochemical and Engineering Aspects,2016,505: 171-178. [5] SABONI A, ALEXANDROVA S, KARSHEVA M. Effects of interface contamination on mass transfer into a spherical bubble[J]. Journal of Chemical Technology & Metallurg y, 2015,50(5): 589-596. [6] KISHORE N, NALAJALA V S, CHHABRA R P. Effects of contamination and shear-thinning fluid viscosity on drag behavior of spherical bubbles[J]. Industrial & Engineering Chemistry Research,2013,52(17): 6049-6056. [7] NALAJALA V S, KISHORE N. Drag of contaminated bubbles in power-law fluids[J]. Colloids and Surfaces A: Physicochemical and Engineering Aspects,2014,443: 240-248. [8] NALAJALA V S, KISHORE N. Motion of partially contaminated bubbles in power-law liquids: effect of wall retardation[J]. International Journal of Mineral Processing,2015,140: 8-18. [9] PESCI C, WEINER A, MARSCHALL H, et al. Computational analysis of single rising bubbles influenced by soluble surfactant[J]. Journal of Fluid Mechanics,2018,856: 709-763. [10] FEI Y, PANG M J. A treatment for contaminated interfaces and its application to study the hydrodynamics of a spherical bubble contaminated by surfactants[J]. Chemical Engineering Science,2019,200: 87-102. [11] HOSOKAWA S, MASUKURA Y, HAYASHI K, et al. Experimental evaluation of Marangoni stress and surfactant concentration at interface of contaminated single spherical drop using spatiotemporal filter velocimetry[J]. International Journal of Multiphase Flow,2017,97: 157-167. [12] HOSOKAWA S, HAYASHI K, TOMIYAMA A. Evaluation of adsorption of surfactant at a moving interface of a single spherical drop[J]. Experimental Thermal and Fluid Science,2018,96: 397-405. [13] CLIFT R, GRACE J R, WEBER M E. Bubbles, Drops, and Particles [M]. New York: Academic Press, 1978. [14] SABONI A, ALEXANDROVA S, MORY M. Flow around a contaminated fluid sphere[J]. International Journal of Multiphase Flow,2010,〖STHZ〗 36(6): 503-512. [15] DANI A, COCKX A, GUIRAUD P. Direct numerical simulation of mass transfer from spherical bubbles: the effect of interface contamination at low Reynolds numbers[J]. International Journal of Chemical Reactor Engineering,2006,4. DOI: 10.2202/1542-6580.1304. [16] 庞明军, 牛瑞鹏, 陆敏杰. 壁面效应对剪切稀化流体内气泡上浮特性的影响[J]. 应用数学和力学, 2020,41(2): 143-155. (PANG Mingjun, NIU Ruipeng, LU Minjie. Wall effects on floating characteristics of bubbles in shear-thining fluids[J]. Applied Mathematics and Mechanics,2020,41(2): 143-155. (in Chinese)) [17] DUKHIN S S, LOTFI M, KOVALCHUK V I, et al. Dynamics of rear stagnant cap formation at the surface of rising bubbles in surfactant solutions at large Reynolds and Marangoni numbers and for slow sorption kinetics[J]. Colloids and Surfaces A: Physicochemical and Engineering Aspect s, 2016,492: 127-137. [18] 李少白, 徐双, 范俊赓, 等. 非牛顿流体中在线双气泡相互作用的数值模拟[J]. 沈阳航空航天大学学报, 2017,34(4): 63-68. (LI Shaobai, XU Shuang, FAN Jungeng, et al. Numerical simulation of interaction between in-line two bubbles in non-Newtonian fluids[J]. Journal of Shenyang Aerospace University,2017,34(4): 63-68. (in Chinese)) [19] 孟辉, 张兴伟, 牛小东, 等. 格子Boltzmann方法分析气泡的运动及其相互作用[J]. 应用力学学报, 2014,31(4): 518-524. (MENG Hui, ZHANG Xingwei, NIU Xiaodong, et al. Lattice Boltzmann analysis of bubble motion and interaction[J]. Chinese Journal of Applied Mechanics,2014,31(4): 518-524. (in Chinese)) [20] 张磊. 气泡间相互作用机理的数值模拟[D]. 硕士学位论文. 重庆: 重庆大学, 2015. (ZHANG Lei. Numerical simulation of interaction mechanism between bubbles[D]. Master Thesis. Chongqing: Chongqing University, 2015. (in Chinese)) [21] 雷杰, 王昱, 马明, 等. 基于FTM方法的双气泡融合特性模拟[J]. 过程工程学报, 2019,19(2): 263-270. (LEI Jie, WANG Yu, MA Ming, et al. Numerical simulation of coalescence of double bubbles using FTM[J]. The Chinese Journal of Process Engineering,2019,〖STHZ〗 19(2): 263-270. (in Chinese)) [22] MURADOGLU M, TRYGGVASON G. Simulations of soluble surfactants in 3D multiphase flow[J]. Journal of Computational Physics,2014,274: 737-757. [23] LEVICH V G. Physicochemical Hydrodynamics [M]. Englewood Cliffs: Prentice Hall, 1962. [24] FUKUTA M, TAKAGI S, MATSUMOTO Y. The effect of surface velocity on lift force for a spherical bubble in a linear shear flow[J]. Theoretical & Applied Mechanics Japan,2005,54: 227-234. [25] TASOGLU S, DEMIRCI U, MURADOGLU M. The effect of soluble surfactant on the transient motion of a buoyancy-driven bubble[J]. Physics of Fluids,2008,20(4): 040805-040819. [26] PALAPARTHI R, PAPAGEORGIOU D T, MALDARELLI C. Theory and experiments on the stagnant cap regime in the motion of spherical surfactant-laden bubbles[J]. Journal of Fluid Mechanics,2006,559: 1-44. [27] FUKUTA M, TAKAGI S, MATSUMOTO Y. Numerical study on the shear-induced lift force acting on a spherical bubble in aqueous surfactant solutions[J]. Physics of Fluids,2008,20(4): 040704-040712. [28] HAYASHI K, TOMIYAMA A. Effects of surfactant on terminal velocity of a Taylor bubble in a vertical pipe[J]. International Journal of Multiphase Flow,2012,39: 78-87.
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