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Li D, Dong J, Li H. Electromagnetohydrodynamic (EMHD) flow of Jeffrey fluid through a rough circular microchannel with surface charge-dependent slip. Electrophoresis 2024. [PMID: 38809093 DOI: 10.1002/elps.202300297] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/13/2023] [Revised: 04/09/2024] [Accepted: 05/09/2024] [Indexed: 05/30/2024]
Abstract
This research examines the electromagnetohydrodynamic (EMHD) flow of Jeffrey fluid in a rough circular microchannel while considering the effect of surface charge on slip. The channel wall corrugations are described as periodic sinusoidal waves with small amplitudes. The perturbation method is employed to derive solutions for velocity and volumetric flow rate, and a combination of three-dimensional (3D) and two-dimensional (2D) graphical representations is utilized to effectively illustrate the impacts of relevant parameters on them. The significance of the Reynolds numberR e $Re$ in investigations of EMHD flow is particularly emphasized. Furthermore, the effect of wall roughness ε $\varepsilon $ and wave number k $k$ on velocity and the influence of wall roughness ε $\varepsilon $ and surface charge densityσ s ${\sigma }_s$ on volumetric flow rate are primarily focused on, respectively, at various Reynolds numbers. The results suggest that increasing the wall roughness leads to a reduction in velocity at low Reynolds numbers (R e = 1 $Re = 1$ ) and an increment at high Reynolds numbers (R e = 10 $Re = 10$ ). For any Reynolds number, a roughness with an odd multiple of wave number (k = 6 , 10 $k = 6,10$ ) will result in a more stable velocity profile compared to one with an even multiple of wave number (k = 4 , 8 $k = 4,8$ ). Decreasing the relaxation timeλ ¯ 1 ${\bar{\lambda }}_1$ while increasing the retardation timeλ ¯ 2 ${\bar{\lambda }}_2$ and Hartmann numberH a $Ha$ can diminish the impact of wall roughness ε $\varepsilon $ and surface charge densityσ s ${\sigma }_s$ on volumetric flow rate, independent of the Reynolds number. Interestingly, in the existence of wall roughness, further consideration of the effect of surface charge on slip leads to a 15% drop in volumetric flow rate atR e = 1 $Re = 1$ and a 32% slippage atR e = 10 $Re = 10$ . However, in the condition where the effect of surface charge on slip is considered, further examination of the presence of wall roughness only results in a 1.4% decline in volumetric flow rate atR e = 1 $Re = 1$ and a 1.6% rise atR e = 10 $Re = 10$ . These findings are crucial for optimizing the EMHD flow models in microchannels.
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Affiliation(s)
- Dongsheng Li
- College of Science, Inner Mongolia University of Technology, Hohhot, P. R. China
| | - Jiayin Dong
- College of Science, Inner Mongolia University of Technology, Hohhot, P. R. China
| | - Haibin Li
- College of Science, Inner Mongolia University of Technology, Hohhot, P. R. China
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Chang L, Sun Y, Buren M, Jian Y. Thermal and Flow Analysis of Fully Developed Electroosmotic Flow in Parallel-Plate Micro- and Nanochannels with Surface Charge-Dependent Slip. MICROMACHINES 2022; 13:2166. [PMID: 36557465 PMCID: PMC9784185 DOI: 10.3390/mi13122166] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 10/30/2022] [Revised: 12/03/2022] [Accepted: 12/06/2022] [Indexed: 06/17/2023]
Abstract
This study analytically investigates the coupled effects of surface charge and boundary slip on the fully developed electroosmotic flow and thermal transfer in parallel plate micro and nanochannels under the high zeta potential. The electric potential, velocity, temperature, flow rate, and Nusselt number are obtained analytically. The main results are that the velocity of bulk flow is significantly reduced in the presence of the surface charge-dependent slip. Moreover, the maximum velocity at ζ = -125 mV is approximately twice as large as that at ζ = -25 mV. The velocity and dimensionless temperature increase as the zeta potential increases. The dimensionless temperature of the surface charge-dependent slip flow is larger than that of the surface charge-independent slip flow. For the surface charge-dependent slip flow, the maximum temperature at ζ = -125 mV is approximately four times larger than that at ζ = -25 mV. The Nusselt number decreases with Joule heating and increases with a positive heat transfer coefficient. The Nusselt number decreases as the electric field and the magnitude of the zeta potential increase. In the surface charge-dependent slip flows, the Nusselt number is smaller than that in the surface charge-independent slip flows.
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Affiliation(s)
- Long Chang
- School of Mathematical Science, Inner Mongolia University, Hohhot 010021, China
- School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, China
| | - Yanjun Sun
- School of Mathematical Science, Inner Mongolia University, Hohhot 010021, China
- School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, China
| | - Mandula Buren
- School of Mathematical Science, Inner Mongolia Normal University, Hohhot 010022, China
| | - Yongjun Jian
- School of Mathematical Science, Inner Mongolia University, Hohhot 010021, China
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Xie Z. Heat transfer of power-law fluids with slip-dependent zeta potential. Colloids Surf A Physicochem Eng Asp 2022. [DOI: 10.1016/j.colsurfa.2022.129710] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
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Qian F, Guo P, Zhang W, Wang Q, Zhao C. Effects of fluid slippage on pressure‐driven electrokinetic energy conversion in conical nanochannels. Electrophoresis 2022; 43:2062-2073. [DOI: 10.1002/elps.202100394] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/28/2021] [Revised: 05/08/2022] [Accepted: 05/19/2022] [Indexed: 11/10/2022]
Affiliation(s)
- Fang Qian
- MOE Key Laboratory of Thermo‐Fluid Science and Engineering School of Energy and Power Engineering Xi'an Jiaotong University Xi'an P. R. China
| | - Panpan Guo
- MOE Key Laboratory of Thermo‐Fluid Science and Engineering School of Energy and Power Engineering Xi'an Jiaotong University Xi'an P. R. China
| | - Wenyao Zhang
- MOE Key Laboratory of Thermo‐Fluid Science and Engineering School of Energy and Power Engineering Xi'an Jiaotong University Xi'an P. R. China
| | - Qiuwang Wang
- MOE Key Laboratory of Thermo‐Fluid Science and Engineering School of Energy and Power Engineering Xi'an Jiaotong University Xi'an P. R. China
| | - Cunlu Zhao
- MOE Key Laboratory of Thermo‐Fluid Science and Engineering School of Energy and Power Engineering Xi'an Jiaotong University Xi'an P. R. China
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Molecular structure and transport of ionic liquid confined in asymmetric graphene-coated silica nanochannel. J Mol Liq 2022. [DOI: 10.1016/j.molliq.2021.117869] [Citation(s) in RCA: 8] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
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Cheng L, Fan B, Zhang Z, Bandaru P. Influence of Surface Texture on the Variation of Electrokinetic Streaming Potentials. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2021; 37:6736-6743. [PMID: 34019765 DOI: 10.1021/acs.langmuir.1c00738] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
The electrokinetic streaming potential (Vs) obtained through electrolyte flow in a microchannel is shown to be related to the underlying surface pattern. Pillar, mesh, and groove patterns were studied for comparing the relative magnitudes of the Vs with air-/liquid-filled surfaces. A record value of the related figure of merit, in terms of the developed Vs per-unit applied pressure, of ∼0.127 mV/Pa, was observed in a mesh texture liquid-filled surface (LFS) impregnated with an electrolyte-immiscible oil. The study indicated that increasing the solid fraction of the pattern surface decreases the effective slip length while enhancing the overall channel ζ potential. Consequently, maximizing the obtained Vs implies a balancing of the slip with the surface potential, with plausibly more significance of the latter. The work has implications for higher-efficiency electrical voltage sources.
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Affiliation(s)
| | - Bei Fan
- Department of Mechanical Engineering, Michigan State University, East Lansing, Michigan 48824, United States
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Cao G. Transport behavior of pressure-driven electrolyte solution through a surface-charged nanochannel. NANOTECHNOLOGY 2020; 31:445404. [PMID: 32702681 DOI: 10.1088/1361-6528/aba8bb] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
The transport behavior of a pressure-driven electrolyte solution through a surface-charged nanochannel is investigated using molecular dynamics (MD) simulations. Similar to pure water, the relationship between the applied pressure (P) and the average transport velocity ([Formula: see text]) of the electrolyte solution is roughly linear, which matches with the theoretical solution very well. The friction coefficient λ is used to describe the transport behavior (a higher λ leads to a lower [Formula: see text]), which scales with the slope of the P- [Formula: see text] relationship and increases with the increases of both the charge density of the channel wall σ and the electrolyte concentration n. The physical mechanism is found as follows: the solid-liquid interaction energy between the channel wall and the liquid inside the channel decreases with both σ and n (being more negative), which makes it more difficult for the liquid boundary layer to slide against the channel wall, leading to a higher λ. In addition, the increase of σ also causes a significant decrease of the liquid-liquid interaction energy but the opposite effect is found with the increase of n. However, λ increases with the increase of both σ and n, suggesting that the relationship between λ and the liquid-liquid interaction energy is more complicated for an electrolyte solution, different from the corresponding result of pure water.
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Affiliation(s)
- Guoxin Cao
- School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, People's Republic of China. State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing, People's Republic of China
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Sen T, Barisik M. Slip Effects on Ionic Current of Viscoelectric Electroviscous Flows through Different Length Nanofluidic Channels. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2020; 36:9191-9203. [PMID: 32635731 DOI: 10.1021/acs.langmuir.0c01457] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
The pressure driven slip flow of an electrolyte solution is studied through different nanofluidic channel lengths at varying salt concentrations. The viscous-thickening due to the electrostatic interactions within the electric double layer and the reverse ionic transport due to the streaming potential are developed. The influence of the Navier slip boundary condition is described under both electroviscous and viscoelectric effects with a surface charge regulation (CR) model while the observed behavior is compared and validated with molecular dynamic (MD) calculations from multiple studies. Results show that electroviscous and viscoelectric effects decrease transport. Earlier studies at the no slip boundary presented an increase of ionic current by increasing salt concentration and decreasing channel length. In contrast, our study found that the ionic current occurred almost independent of both salt concentration and channel length, except for very short channels and very low salt concentrations, when electroviscous and viscoelectric effects were considered. In the case of the constant slip length condition, ionic conduction was enhanced, but velocity slip developing on surfaces showed significant variation based on the salt concentration and channel length. This is due to the natural CR behavior enhancing the surface charge and consequential near surface electrohydrodynamics as a result of increase in salt concentration and/or decrease of channel length. Considering that the electroviscous effect alone creates up to 70% lower velocity slips than Poiseuille flow predictions, while further including the viscoelectric effect, results in an almost no-slip condition at high salt concentrations and/or short channels. As a result, the ionic current of a viscoelectric electroviscous slip flow is found to be equal to 1/3 of an electroviscous slip flow and to decrease with a decrease in the channel length.
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Affiliation(s)
- Tumcan Sen
- Department of Mechanical Engineering, Izmir Institute Of Technology, Izmir 35430, Turkey
| | - Murat Barisik
- Department of Mechanical Engineering, Izmir Institute Of Technology, Izmir 35430, Turkey
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Godinez-Brizuela OE, Niasar VJ. Simultaneous pressure and electro-osmosis driven flow in charged porous media: Pore-scale effects on mixing and dispersion. J Colloid Interface Sci 2020; 561:162-172. [DOI: 10.1016/j.jcis.2019.11.084] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2019] [Revised: 11/18/2019] [Accepted: 11/19/2019] [Indexed: 10/25/2022]
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Buren M, Jian Y, Zhao Y, Chang L, Liu Q. Effects of surface charge and boundary slip on time-periodic pressure-driven flow and electrokinetic energy conversion in a nanotube. BEILSTEIN JOURNAL OF NANOTECHNOLOGY 2019; 10:1628-1635. [PMID: 31467824 PMCID: PMC6693372 DOI: 10.3762/bjnano.10.158] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/27/2018] [Accepted: 07/22/2019] [Indexed: 06/10/2023]
Abstract
Time-periodic pressure-driven slip flow and electrokinetic energy conversion efficiency in a nanotube are studied analytically. The slip length depends on the surface charge density. Electric potential, velocity and streaming electric field are obtained analytically under the Debye-Hückel approximation. The electrokinetic energy conversion efficiency is computed using these results. The effects of surface charge-dependent slip and electroviscous effect on velocity and electrokinetic energy conversion efficiency are discussed. The main results show that the velocity amplitude and the electrokinetic energy conversion efficiency of the surface charge-dependent slip flow are reduced compared with those of the surface charge-independent slip flow.
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Affiliation(s)
- Mandula Buren
- School of Mathematics and Statistics, Chifeng University, Chifeng, China
| | - Yongjun Jian
- School of Mathematical Science, Inner Mongolia University, Hohhot, China
| | - Yingchun Zhao
- School of Mathematics and Statistics, Chifeng University, Chifeng, China
| | - Long Chang
- School of Mathematics and Statistics, Inner Mongolia University of Finance and Economics, Hohhot, China
| | - Quansheng Liu
- School of Mathematical Science, Inner Mongolia University, Hohhot, China
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Role of Liquid Repellency on Fluid Slip, Fluid Drag, and Formation of Nanobubbles. Biomimetics (Basel) 2018. [DOI: 10.1007/978-3-319-71676-3_18] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022] Open
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Matin MH, Khan WA. Electrokinetic effects on pressure driven flow of viscoelastic fluids in nanofluidic channels with Navier slip condition. J Mol Liq 2016. [DOI: 10.1016/j.molliq.2016.01.034] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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The coupling of surface charge and boundary slip at the solid-liquid interface and their combined effect on fluid drag: A review. J Colloid Interface Sci 2015; 454:152-79. [PMID: 26021432 DOI: 10.1016/j.jcis.2015.05.015] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/07/2015] [Accepted: 05/07/2015] [Indexed: 11/23/2022]
Abstract
Fluid drag of micro/nano fluidic systems has inspired wide scientific interest. Surface charge and boundary slip at the solid-liquid interface are believed to affect fluid drag. This review summarizes the recent studies on the coupling of surface charge and slip, and their combined effect on fluid drag at micro/nano scale. The effect of pH on surface charge of borosilicate glass and silica surfaces in deionized (DI) water and saline solution is discussed using a method based on colloidal probe atomic force microscopy (AFM). The boundary slip of various oil-solid interfaces are discussed for samples with different degrees of oleophobicity prepared by nanoparticle-binder system. By changing the pH of solution or applying an electric field, effect of surface charge on slip of a smooth hydrophobic octadecyltrichlorosilane (OTS) in DI water and saline solution is studied. A theoretical model incorporating the coupling relationship between surface charge and slip is used to discuss the combined effect of surface charge-induced electric double layer (EDL) and slip on fluid drag of pressure-driven flow in a one-dimensional parallel-plates microchannel. A theoretical method is used to reduce the fluid drag. The studies show that the increasing magnitude of surface charge density leads to a decrease in slip length. The surface charge results in a larger fluid drag, and the coupling of surface charge and slip can further increase the fluid drag. Surface charge-induced EDLs with asymmetric zeta potentials can effectively reduce the fluid drag.
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Pan Y, Bhushan B, Zhao X. The study of surface wetting, nanobubbles and boundary slip with an applied voltage: A review. BEILSTEIN JOURNAL OF NANOTECHNOLOGY 2014; 5:1042-65. [PMID: 25161839 PMCID: PMC4143124 DOI: 10.3762/bjnano.5.117] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/14/2014] [Accepted: 06/25/2014] [Indexed: 05/25/2023]
Abstract
The drag of fluid flow at the solid-liquid interface in the micro/nanoscale is an important issue in micro/nanofluidic systems. Drag depends on the surface wetting, nanobubbles, surface charge and boundary slip. Some researchers have focused on the relationship between these interface properties. In this review, the influence of an applied voltage on the surface wettability, nanobubbles, surface charge density and slip length are discussed. The contact angle (CA) and contact angle hysteresis (CAH) of a droplet of deionized (DI) water on a hydrophobic polystyrene (PS) surface were measured with applied direct current (DC) and alternating current (AC) voltages. The nanobubbles in DI water and three kinds of saline solution on a PS surface were imaged when a voltage was applied. The influence of the surface charge density on the nanobubbles was analyzed. Then the slip length and the electrostatic force on the probe were measured on an octadecyltrichlorosilane (OTS) surface with applied voltage. The influence of the surface charge on the boundary slip and drag of fluid flow has been discussed. Finally, the influence of the applied voltage on the surface wetting, nanobubbles, surface charge, boundary slip and the drag of liquid flow are summarized. With a smaller surface charge density which could be achieved by applying a voltage on the surface, larger and fewer nanobubbles, a larger slip length and a smaller drag of liquid flow could be found.
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Affiliation(s)
- Yunlu Pan
- Mechanical Engineering, Harbin Institute of Technology, Harbin, 150001, P.R. China
- Nanoprobe Laboratory for Bio- & Nanotechnology and Biomimetics (NLB2), The Ohio State University, 201 W. 19th Avenue, Columbus, OH 43210-1142, USA
| | - Bharat Bhushan
- Mechanical Engineering, Harbin Institute of Technology, Harbin, 150001, P.R. China
- Nanoprobe Laboratory for Bio- & Nanotechnology and Biomimetics (NLB2), The Ohio State University, 201 W. 19th Avenue, Columbus, OH 43210-1142, USA
| | - Xuezeng Zhao
- Mechanical Engineering, Harbin Institute of Technology, Harbin, 150001, P.R. China
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