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Chin. Phys. B, 2024, Vol. 33(7): 074101    DOI: 10.1088/1674-1056/ad3340
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Effect of boundary slip on electroosmotic flow in a curved rectangular microchannel

Yong-Bo Liu(刘勇波)1,2,†
1 College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China;
2 Inner Mongolia Center for Applied Mathematics, Hohhot 010022, China
Abstract  The aim of this study is to numerically investigate the impact of boundary slip on electroosmotic flow (EOF) in curved rectangular microchannels. Navier slip boundary conditions were employed at the curved microchannel walls. The electric potential distribution was governed by the Poisson-Boltzmann equation, whereas the velocity distribution was determined by the Navier-Stokes equation. The finite-difference method was employed to solve these two equations. The detailed discussion focuses on the impact of the curvature ratio, electrokinetic width, aspect ratio and slip length on the velocity. The results indicate that the present problem is strongly dependent on these parameters. The results demonstrate that by varying the dimensionless slip length from 0.001 to 0.01 while maintaining a curvature ratio of 0.5 there is a twofold increase in the maximum velocity. Moreover, this increase becomes more pronounced at higher curvature ratios. In addition, the velocity difference between the inner and outer radial regions increases with increasing slip length. Therefore, the incorporation of the slip boundary condition results in an augmented velocity and a more non-uniform velocity distribution. The findings presented here offer valuable insights into the design and optimization of EOF performance in curved hydrophobic microchannels featuring rectangular cross-sections.
Keywords:  electroosmotic flow (EOF)      curved rectangular microchannels      slip boundary conditions  
Received:  18 October 2023      Revised:  26 February 2024      Accepted manuscript online:  13 March 2024
PACS:  41.20.Cv (Electrostatics; Poisson and Laplace equations, boundary-value problems)  
  47.10.ad (Navier-Stokes equations)  
  47.61.-k (Micro- and nano- scale flow phenomena)  
Fund: Project supported by the Natural Science Foundation of Inner Mongolia of China (Grant No. 2021BS01008), the Program for Innovative Research Team in Universities of Inner Mongolia Autonomous Region (Grant No. NMGIRT2323), and the Scientific Research Funding Project for introduced high level talents of IMNU (Grant No. 2020YJRC014).
Corresponding Authors:  Yong-Bo Liu     E-mail:  liuyb@mail.imu.edu.cn

Cite this article: 

Yong-Bo Liu(刘勇波)1,2 Effect of boundary slip on electroosmotic flow in a curved rectangular microchannel 2024 Chin. Phys. B 33 074101

[1] Engler M, Kockmann N, Kiefer T and Woias P 2004 Chem. Eng. J. 101 315
[2] Manz1 A, Effenhauser C S, Burggraf N, Harrison D J, Seiler K and Fluri K 1994 J. Micromech. Microeng. 4 257
[3] Yamamoto K, Ota N and Tanaka Y 2021 Anal. Chem. 93 332
[4] Kleinstreuer C, Li J and Koo J 2008 Int. J. Heat Mass Transf. 51 5590
[5] Tegenfeldt J O, Prinz C, Cao H, Huang R L, Austin R H, Chou S Y, Cox E C and Sturm J C 2004 Anal. Bioanal. Chem. 378 1678
[6] Mala G M, Li D and Dale J D 1997 Int. J. Heat Mass Transf. 40 3079
[7] Hu Y, Werner C and Li C 2003 J. Fluids Eng. 125 871
[8] Yan B, Chen B, Xiong Y and Peng Z 2021 Chin. Phys. B 30 114701
[9] Yang C H and Jian Y J 2020 Chin. Phys. B 29 114101
[10] Wiedemann G 1852 Poggendorfs Annalen 87 321
[11] Yang R J, Fu L M and Lin Y C 2001 J. Colloid Interf. Sci. 239 98
[12] Sadr R, Yoda M, Zheng Z and Conlisk Z 2004 J. Fluid mech. 506 357
[13] Wang C Y, Liu Y H and Chang C C 2008 Phys. Fluids 20 063105
[14] Jian Y J, Yang L G and Liu Q S 2010 Phys. Fluids 22 042001
[15] Jiang F, Drese K S, Hardt S, Küpper M and Schönfeld F 2004 AIChE J. 50 2297
[16] Ookawara S, Higashi R, Street D and Ogawa K 2004 Chem. Eng. J. 101 171
[17] Zourob M, Mohr S, Mayes S, Macaskill A, Peréz-Moral N, Fielden P R and Goddard N J 2006 Lab Chip 6 296
[18] Kockmann N, Engler M, Haller D and Woias P 2005 Heat Transf. Eng. 26 71
[19] Schönfeld F and Hardt S 2004 AIChE J. 50 771
[20] Luo W J 2004 J. Colloid Interf. Sci. 278 497
[21] Luo W J, Pan Y J and Yang R J 2005 J. Micromech. Microeng. 15 463
[22] Chen J K, Luo W J and Yang R J 2006 Jpn. J. Appl. Phys. 45 7983
[23] Lu D C, Noreen S, Waheed S and Tripathi D 2022 J. Mech. Med. Biol. 22 2250030
[24] Salahuddin T, Kousar I, and Khan M 2022 Mater. Sci. Eng. B 284 115886
[25] Liu Y, Xing J and Jian Y 2022 Int. Commu. Heat Mass Transf. 139 106501
[26] Nekoubin N 2018 J. Non-Newton. Fluid Mech. 260 54
[27] Narla V K and Tripathi D 2019 Microvasc. Res. 123 25
[28] Kolsi L, Javid K, Safra I, Ghachem K, Khan S U and Albalawi H 2023 Case Stud. Therm. Eng. 49 103201
[29] Khan A A, Zahra B, Ellahi R, Sait S M 2023 Symmetry 15 889
[30] Si X, Lei X, Xu B, Li B, Zhu J and Cao L 2023 Phys. Fluids 35 032005
[31] Yang X, Zhao M, Wang S and Xiao Y 2023 Phys. Fluids 35 053106
[32] Choi C H, Ulmanella U, Kim J, Ho C M and Kim C J 2006 Phys. Fluids 18 087105
[33] Goswami P, Kumar Mondal P, Dutta S and Chakraborty S 2015 Electrophoresis 36 703
[34] Shit G C, Mondal A, Sinha A and Kundu P K 2016 Colloids Surf. A: Physicochem. Eng. Aspects 506 535
[35] Majhi M, Nayak A K and Sahoo S 2023 Phys. Fluids 35 012014
[36] Sujith T, Mehta S K and Pati S 2023 J. Therm. Anal. Calorim. 148 489
[37] Banerjee D, Mehta S K, Pati S and Biswas P 2021 Int. J. Heat Mass Transf. 181 121989
[38] Banerjee D, Pati S and Biswas P 2023 Appl. Math. Mech. 44 1007
[39] Vasista K N, Mehta S K and Pati S 2022 Chem. Eng. Process. 176 108940
[40] Vasista K N, Mehta S K, Pati S and Sarkar S 2021 Phys. Fluids 33 123110
[41] Nath A J, Roy P, Banerjee D, Pati S, Randive P R and Biswas P 2023 J. Fluids Eng. 145 014501
[42] Mahanta K, Panda S, Banerjee D, Pati S and Biswas P 2022 Phys. Scr. 98 015212
[43] Xie Z 2022 Colloids Surf. A: Phys. Eng. Aspects 651 129710
[44] Banerjee D, Pati S and Biswas P 2022 Phy. Fluids 34 032013
[45] Liu Y, Jian Y and Yang C 2020 Energy 198 117401
[46] Deng S, Li M, Yang Y and Xiao T 2021 Appl. Therm. Eng. 196 117314
[47] Sauer T 2013 Numerical Analysis, 2nd edn. (New York: Pearson Education Inc) pp. 375-405
[48] Jian Y 2015 Int. J. Heat Mass Transf. 89 193
[49] Xie Z Y and Jian Y J 2017 Energy 139 1080
[50] Liu Y, Jian Y and Tan W 2018 Int. J. Heat Mass Transf. 127 901
[51] Xing J and Liu Y 2023 Phys. Scr. 98 025202
[52] Wang C, Wong T N, Yang C and Ooi K T 2007 Int. J. Heat Mass Transf. 50 3115
[53] Norouzi M, Zare Vamerzani B, Davoodi M, Biglari N and Shahmardan M M 2015 Rheol. Acta 54 391
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