Citation: | DU Changlong, XIA Weihao, YANG Jiajie, LI Jie. Simulation of Electroosmotic and Pressure-Driven Mixed Flow of Viscoelastic Fluids in Converging-Diverging Tubes[J]. Applied Mathematics and Mechanics, 2023, 44(6): 643-653. doi: 10.21656/1000-0887.430255 |
[1] |
REUSS F F. Charge-induced flow[J]. Proceedings of the Imperial Society of Naturalists of Moscow, 1809, 3: 327-344.
|
[2] |
RICE C L, WHITEHEAD R. Electrokinetic flow in a narrow cylindrical capillary[J]. Journal of Physical Chemistry, 1965, 69(11): 4017-4024. doi: 10.1021/j100895a062
|
[3] |
刘浩, 娄钦, 黄一帆. T型微通道内液滴在幂律流体中运动机理的格子Boltzmann方法研究[J]. 应用数学和力学, 2022, 43(3): 255-271. doi: 10.21656/1000-0887.420182
LIU Hao, LOU Qin, HUANG Yifan. Study of movement mechanisms of droplets in power-law fluids in T-junction microchannels with the lattice Boltzmann method[J]. Applied Mathematics and Mechanics, 2022, 43(3): 255-271. (in Chinese) doi: 10.21656/1000-0887.420182
|
[4] |
ZHAO C, ZHOLKOVSKIJ E, MASLIYAH J H, et al. Analysis of electroosmotic flow of power-law fluids in a slit microchannel[J]. Journal of Colloid & Interface Science, 2008, 326(2): 503-510.
|
[5] |
王爽, 菅永军. 周期壁面电势调制下平行板微管道中的电磁电渗流动[J]. 应用数学和力学, 2020, 41(4): 396-405. doi: 10.21656/1000-0887.400151
WANG Shuang, JIAN Yongjun. Magnetohydrodynamic electroosmotic flow in zeta potential patterned micro-parallel channels[J]. Applied Mathematics and Mechanics, 2020, 41(4): 396-405. (in Chinese) doi: 10.21656/1000-0887.400151
|
[6] |
AFONSO A M, ALVES M A, PINHO F T. Electro-osmotic flow of viscoelastic fluids in microchannels under asymmetric zeta potentials[J]. Journal of Engineering Mathematics, 2011, 71(1): 15-30. doi: 10.1007/s10665-010-9421-9
|
[7] |
AFONSO A M, ALVES M A, PINHO F T. Analytical solution of mixed electro-osmotic/pressure driven flows of viscoelastic fluids in microchannels[J]. Journal of Non-Newtonian Fluid Mechanics, 2009, 159(1/3): 50-63.
|
[8] |
SOUSA J J, AFONSO A M, PINHO F T, et al. Effect of the skimming layer on electro-osmotic-Poiseuille flows of viscoelastic fluids[J]. Microfluidics & Nanofluidics, 2011, 10(1): 107-122.
|
[9] |
PARK H M, LEE W M. Effect of viscoelasticity on the flow pattern and the volumetric flow rate in electroosmotic flows through a microchannel[J]. Lab on a Chip, 2008, 8(7): 1163-1170. doi: 10.1039/b800185e
|
[10] |
MONAZAMI R, MANZARI M T. Analysis of combined pressure-driven electroosmotic flow through square microchannels[J]. Microfluidics and Nanofluidics, 2007, 3(1): 123-126.
|
[11] |
MONDAL M, MISRA R P, DE S. Combined electroosmotic and pressure driven flow in a microchannel at high zeta potential and overlapping electrical double layer[J]. International Journal of Thermal Sciences, 2014, 86(3): 48-59.
|
[12] |
VAKILI M A, SADEGHI A, SAIDI M H, et al. Electrokinetically driven fluidic transport of power-law fluids in rectangular microchannels[J]. Colloids & Surfaces A: Physicochemical & Engineering Aspects, 2012, 414: 440-456.
|
[13] |
HADIGOL M, NOSRATI R, RAISEE M. Numerical analysis of mixed electroosmotic/pressure driven flow of power-law fluids in microchannels and micropumps[J]. Colloids & Surfaces A: Physicochemical & Engineering Aspects, 2011, 374(1/3): 142-153.
|
[14] |
DUTTA P, BESKOK A. Analytical solution of combined electroosmotic/pressure driven flows in two-dimensional straight channels: finite Debye layer effects[J]. Analytical Chemistry, 2001, 73(9): 1979-1986. doi: 10.1021/ac001182i
|
[15] |
FERRÁS L, AFONSO A M, ALVES M A, et al. Electro-osmotic and pressure-driven flow of viscoelastic fluids in microchannels: analytical and semi-analytical solutions[J]. Physics of Fluids, 2016, 28(9): 093102. doi: 10.1063/1.4962357
|
[16] |
高峰, 石则满, 冯鑫, 等. 微流控芯片中电渗流的数值模拟与仿真研究[J]. 传感器与微系统, 2017, 36(11): 53-55. https://www.cnki.com.cn/Article/CJFDTOTAL-CGQJ201711016.htm
GAO Feng, SHI Zeman, FENG Xin, et al. Numerical simulation and simulation of electroosmosis in microfluidic chip[J]. Transducer and Microsystem Technologies, 2017, 36(11): 53-55. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-CGQJ201711016.htm
|
[17] |
罗艳, 李鸣, 杨大勇. 微通道内电渗压力混合驱动幂律流体流动模拟[J]. 应用数学和力学, 2016, 37(4): 373-381. doi: 10.3879/j.issn.1000-0887.2016.04.005
LUO Yan, LI Ming, YANG Dayong. Simmulation of mixed electroosmotic and pressure-driven flows of power-law fluids in microchannels[J]. Applied Mathematics and Mechanics, 2016, 37(4): 373-381. (in Chinese) doi: 10.3879/j.issn.1000-0887.2016.04.005
|
[18] |
BRYCE R M, FREEMAN M R. Extensional instability in electro-osmotic microflows of polymer solutions[J]. Physical Review E, 2010, 81(3): 36328. doi: 10.1103/PhysRevE.81.036328
|
[19] |
SONG L, JAGDALE P, YU L D, et al. Electrokinetic instability in microchannel viscoelastic fluid flows with conductivity gradients[J]. Physics of Fluids, 2019, 31(8): 082001.
|
[20] |
SOUSA P C, VEGA E J, SOUSA R G, et al. Measurement of relaxation times in extensional flow of weakly viscoelastic polymer solutions[J]. Rheologica Acta, 2017, 56(1): 11-20.
|
[21] |
FERRÁS L, AFONSO A M, ALVES M A, et al. Newtonian and viscoelastic fluid flows through an abrupt 1∶4 expansion with slip boundary conditions[J]. Physics of Fluids, 2020, 32(4): 043103.
|
[22] |
OISHI C M, WARTINS F, AFONSO A M, et al. A numerical study of the kernel-conformation transformation for transient viscoelastic fluid flows[J]. Journal of Computational Physics, 2015, 302: 653-673.
|