Analytical investigation of electrokinetic effects of micropolar fluids in nanofluidic channels

The effects of microstructure of fluid particles on the electrokinetic phenomena are investigated analytically based on a micropolar fluid model, where micro-rotation of fluid particles and material parameters like viscosity and angular viscosity coefficients are involved. Meanwhile, the influences of velocity slip at the surface of a nanofluidic channel and overlapped electrical double layers (EDLs) are incorporated. Results indicate that the introduction of micropolarity will significantly affect the electrokinetic effects, especially in the case of overlapped EDLs. Qualitatively, it leads to evident reductions in the flow rate, streaming current, and streaming potential relative to Newtonian fluids. The velocity slip is an opposing and competitive mechanism which tends to increase the flow rate, streaming current, and potential. Furthermore, the interplay between the micropolarity and slip effects is studied in detail. The influence of micropolarity on the electrokinetic energy conversion (EKEC) effici...

[1]  T. Ariman,et al.  Microcontinuum fluid mechanics—A review , 1973 .

[2]  Ian Papautsky,et al.  Laminar fluid behavior in microchannels using micropolar fluid theory , 1999 .

[3]  Shayandev Sinha,et al.  Streaming potential and electroviscous effects in soft nanochannels: towards designing more efficient nanofluidic electrochemomechanical energy converters. , 2014, Soft matter.

[4]  Xiangchun Xuan,et al.  Electrokinetic energy conversion in slip nanochannels , 2008 .

[5]  Cees Dekker,et al.  Electrokinetic energy conversion efficiency in nanofluidic channels. , 2006, Nano letters.

[6]  A. V. Belyaev,et al.  Electrohydrodynamics near hydrophobic surfaces. , 2014, Physical review letters.

[7]  A. Majumdar,et al.  Electrochemomechanical Energy Conversion in Nanofluidic Channels , 2004 .

[8]  Yang,et al.  Electrokinetic Effects on Pressure-Driven Liquid Flows in Rectangular Microchannels , 1997, Journal of colloid and interface science.

[9]  D. Burgreen,et al.  Electrokinetic Flow in Ultrafine Capillary Slits1 , 1964 .

[10]  Y. Jian,et al.  The flow of micropolar fluids through a microparallel corrugated channel , 2016 .

[11]  J. Eijkel.  Liquid slip in micro- and nanofluidics: recent research and its possible implications. , 2007, Lab on a chip.

[12]  Liangui Yang,et al.  Time periodic electro-osmotic flow through a microannulus , 2010 .

[13]  Vijay Kumar Stokes,et al.  Theories of Fluids with Microstructure , 1984 .

[14]  A. Eringen.  Theory of thermo-microstretch fluids and bubbly liquids , 1990 .

[15]  Dongqing Li,et al.  A NEW MODEL FOR THE ELECTRICAL DOUBLE LAYER INTERACTION BETWEEN TWO SURFACES IN AQUEOUS SOLUTIONS , 2004 .

[16]  Andrew P. Bassom,et al.  The Blasius boundary-layer flow of a micropolar fluid , 1996 .

[17]  J. C. Misra,et al.  Electroosmotic oscillatory flow of micropolar fluid in microchannels: application to dynamics of blood flow in microfluidic devices , 2014 .

[18]  J. C. Misra,et al.  A mathematical model for the study of interstitial fluid movement vis-a-vis the non-newtonian behaviour of blood in a constricted artery , 2001 .

[19]  S. De,et al.  Combined electroosmotic and pressure driven flow in a microchannel at high zeta potential and overlapping electrical double layer , 2014 .

[20]  Dongqing Li,et al.  Modeling forced liquid convection in rectangular microchannels with electrokinetic effects , 1998 .

[21]  Nikolai D. Botkin,et al.  Drag on spheres in micropolar fluids with non-zero boundary conditions for microrotations , 2007, Journal of Fluid Mechanics.

[22]  Jacob H. Masliyah,et al.  Electrokinetic and Colloid Transport Phenomena: Masliyah/Electrokinetic and Colloid Transport Phenomena , 2006 .

[23]  J. F. Osterle.  Electrokinetic Energy Conversion , 1964 .

[24]  A. Eringen,et al.  THEORY OF MICROPOLAR FLUIDS , 1966 .

[25]  T. Ariman,et al.  Applications of microcontinuum fluid mechanics , 1974 .

[26]  Howard A. Stone,et al.  ENGINEERING FLOWS IN SMALL DEVICES , 2004 .

[27]  Hans-Jürgen Butt,et al.  Boundary slip in Newtonian liquids: a review of experimental studies , 2005 .

[28]  Qu,et al.  A Model for Overlapped EDL Fields. , 2000, Journal of colloid and interface science.

[29]  A. Eringen.  On nonlocal microfluid mechanics , 1973 .

[30]  J. Srinivas,et al.  Second law analysis for Poiseuille flow of immiscible micropolar fluids in a channel , 2013 .

[31]  Chun Yang,et al.  ANALYSIS OF ELECTROKINETIC EFFECTS ON THE LIQUID FLOW IN RECTANGULAR MICROCHANNELS , 1998 .

[32]  Daniel Y. Kwok,et al.  Electrokinetic microchannel battery by means of electrokinetic and microfluidic phenomena , 2003 .

[33]  D. Stein,et al.  Slip-enhanced electrokinetic energy conversion in nanofluidic channels , 2008, Nanotechnology.

[34]  C. Dekker,et al.  Power generation by pressure-driven transport of ions in nanofluidic channels. , 2007, Nano letters.

[35]  Liangui Yang,et al.  Time periodic electroosmotic flow of micropolar fluids through microparallel channel , 2016 .

[36]  S. Chakraborty,et al.  Double layer overlap in ac electroosmosis , 2008 .

[37]  J. Eijkel,et al.  Highly enhanced energy conversion from the streaming current by polymer addition. , 2013, Lab on a chip.

[38]  Akhlesh Lakhtakia,et al.  Non-steady electro-osmotic flow of a micropolar fluid in a microchannel , 2009, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[39]  J. Peddieson.  An application of the micropolar fluid model to the calculation of a turbulent shear flow , 1972 .

[40]  T. Ariman,et al.  On Pulsatile Blood Flow , 1973 .

[41]  Hayakawa.  Slow viscous flows in micropolar fluids , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[42]  S. Mitra,et al.  Exploring new scaling regimes for streaming potential and electroviscous effects in a nanocapillary with overlapping electric double layers. , 2013, Analytica chimica acta.

[43]  A. Lakhtakia,et al.  Non-steady electro-osmotic flow of a micropolar fluid in a microchannel , 2009 .

[44]  C. L. Rice,et al.  Electrokinetic Flow in a Narrow Cylindrical Capillary , 1965 .

[45]  Ho Sang Kwak,et al.  Timescales for relaxation to Boltzmann equilibrium in nanopores. , 2005, Journal of colloid and interface science.

[46]  S. Chakraborty,et al.  Streaming-field-induced convective transport and its influence on the electroviscous effects in narrow fluidic confinement beyond the Debye-Hückel limit. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[47]  J. Eijkel,et al.  Energy conversion in microsystems: is there a role for micro/nanofluidics? , 2007, Lab on a chip.

[48]  Dongqing Li,et al.  Electro-viscous effects on pressure-driven liquid flow in microchannels , 2001 .

[49]  P. Tabeling,et al.  Nanofluidics in the Debye layer at hydrophilic and hydrophobic surfaces. , 2008, Physical review letters.

[50]  J. S. Lee,et al.  Comparison of the Nernst-Planck model and the Poisson-Boltzmann model for electroosmotic flows in microchannels. , 2007, Journal of colloid and interface science.