Abstract
In this work, the effects of externally applied axial pressure gradients and transverse magnetic fields on the electrokinetic energy conversion (EKEC) efficiency and the streaming potential of nanofluids through a microannulus are studied. The analytical solution for electro-magneto-hydro-dynamic (EMHD) flow is obtained under the condition of the Debye-Hückel linearization. Especially, Green’s function method is used to obtain the analytical solutions of the velocity field. The result shows that the velocity distribution is characterized by the dimensionless frequency Ω, the Hartmann number Ha, the volume fraction of the nanoparticles φ, the geometric radius ratio a, and the wall ζ potential ratio b. Moreover, the effects of three kinds of periodic excitations are compared and discussed. The results also show that the periodic excitation of the square waveform is more effective in increasing the streaming potential and the EKEC efficiency. It is worth noting that adjusting the wall ζ potential ratio and the geometric radius ratio can affect the streaming potential and the EKEC efficiency.
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BECKER, H. and GARTNER, C. Polymer microfabrication methods for microfluidic analytical applications. Electrophoresis, 21, 12–26 (2000)
OHNO, K., TACHIKAWA, K., and MANZ, A. Microfluidics: applications for analytical purposes in chemistry and biochemistry. Electrophoresis, 29, 4443–4453 (2008)
NANDY, K., CHAUDHURI, S., GANGULY, R., and PURI, I. K. Analytical model for the magnetophoretic capture of magnetic spheres in microfluidic devices. Journal of Magnetism and Magnetic Materials, 320, 1398–1405 (2007)
DEY, R., CHAKRABORTY, D., and CHAKRABORTY, S. Extended Graetz problem for combined electroosmotic and pressure-driven flows in narrow confinements with thick electrical double layers. International Journal of Heat and Mass Transfer, 55, 4724–4733 (2012)
SADEGHI, A., SAIDI, M. H., and MOZAFARI, A. A. Heat transfer due to electroosmotic flow of viscoelastic fluids in a slit microchannel. International Journal of Heat and Mass Transfer, 54, 4069–4077 (2011)
ALIPANAH, M., HAFTTANAIAN, M., HEDAYATI, N., and RAMIAR, A., ALIPANAH, M. Microfluidic on-demand particle separation using induced charged electroosmotic flow and magnetic field. Journal of Magnetism and Magnetic Materials, 537, 168156 (2021)
NOREEN, S., QURATULAIN, and TRIPATHI, D. Heat transfer analysis on electroosmotic flow via peristatic pumping in non-Darcy porous medium. Thermal Science and Engineering Progress, 11, 254–263 (2019)
AZARI, M., SADEGHI, A., and CHAKRABORTY, S. Electroosmotic flow and heat transfer in a heterogeneous circular microchannel. Applied Mathematical Modelling, 87, 640–654 (2020)
HUNTER, R. J. Zeta Potential in Colloid Science, Academic Press, New York (1981)
GANGULY, S., SARKAR, S., HOTA, T. K., and MISHRA, M. Thermally developing combined electroosmotic and pressure-driven flow of nanofluids in a microchannel under the effect of magnetic field. Chemical Engineering Science, 126, 10–12 (2015)
REN, L. Q., QU, W. L., and LI, D. Q. Interfacial electrokinetic effects on liquid flow in microchannels. International Journal of Heat and Mass Transfer, 44, 3125–3134 (2001)
CHAKRABORTY, J., RAY, S., and CHAKRABORTY, S. Role of streaming potential on pulsating mass flow rate control in combined electroosmotic and pressure-driven microfluidic devices. Electrophoresis, 33, 419–425 (2012)
CHEN, G. and DUS, S. Streaming potential and electroviscous effects in soft nanochannel beyond Debye-Hückel linearization. Journal of Colloid and Interface Science, 445, 357–363 (2015)
DAS, S., GUHA, A., and MITRA, S. K. Exploring new scaling regimes for streaming potential and electroviscous effects in a nanocapillary with overlapping electric double layers. Analytica Chimica Acta, 804, 159–166 (2013)
SIRIA, A., PONCHARAL, P., BIANCE, A. L., FULCRAND, R., BLASE, X., PURCELL, S. T., and BOCQUET, L. Giant osmotic energy conversion measured in a single transmembrane boron nitride nanotube. nature, 494, 455–458 (2013)
BANDOPADHYAY, A. and CHAKRABORTY, S. Giant augmentations in electro-hydro-dynamic energy conversion efficiencies of nanofluidic devices using viscoelastic fluids. Applied Physics Letters, 101, 043905 (2012)
BANDOPADHYAY, A., DHAR, J., and CHAKRABORTY, S. Effects of solvent-mediated non-electrostatic ion-ion interactions on a streaming potential in microchannels and nanochannels. Physical Review E, 88, 033014 (2013)
NGUYEN, T., XIE, Y., DE VREEDE, L. J., VAN DEN BERG, A., and EIJKEL, J. C. T. Highly enhanced energy conversion from the streaming current by polymer addition. Lab on a Chip, 13, 3210–3216 (2013)
KILSGAARD, B. S., HALDRUP, S., CATALANO, J., and BENTIEN, A. High figure of merit for electrokinetic energy conversion in Nafion membranes. Journal of Power Sources, 247, 235–242 (2014)
JIAN, Y. J., LI, F. Q., LIU, Y. B., CHANG, L., LIU, Q. S., and YANG, L. G. Electrokinetic energy conversion efficiency of viscoelastic fluids in a polyelectrolyte-grafted nanochannel. Colloids and Surface B: Biointerfaces, 156, 405–413 (2017)
REN, Y. and STEIN, D. Slip-enhanced electrokinetic energy conversion in nanofluidic channels. Nanotechnology, 19, 195707 (2008)
LIU, Y. B., JIAN, Y. J., and YANG, C. H. Electrochemomechanical energy conversion efficiency in curved rectangular nanochannels. Energy, 198, 117401 (2020)
XIE, Z. Y. and JIAN, Y. J. Electrokinetic energy conversion of nanofluids in MHD-based microtube. Energy, 212, 118711 (2020)
DAS, S. K., PUTRA, N., and ROETZEL, W. Temperature dependence of thermal conductivity enhancement for nanofluids. Journal of Heat Transfer, 125, 567–574 (2003)
WANG, X. Q. and MUJUMDAR, A. S. Heat transfer characteristics of nanofluids: a review. International Journal of Thermal Science, 46, 1–19 (2007)
WONG, K. F. V. and LEON, O. D. Applications of nanofluid: current and future. Advance in Mechanical Engineering, 2, 1–11 (2010)
SAIDUR, R., LEONG, K. Y., and MOHAMMAD, H. A. A review on applications and challenges of nanofluids. Renewable and Sustainable Energy Reviews, 15, 1646–1668 (2011)
MOHAMMADIAN, S. K. and ZHANG, Y. Analysis of nanofluid effects on thermoelectric cooling by micro-pin-fin heat exchangers. Applied Thermal Engineering, 70, 282–290 (2014)
SHEIKHOLESLAMI, M., HATAMI, M., and GANJI, D. D. Nanofluid flow and heat transfer in a rotating system in the presence of a magnetic field. Journal of Molecular Liquids, 190, 112–120 (2014)
MAHIAN, O., POP, I., SAHIN, A. Z., OZTOP, H. F., and WONGWISES, S. Irreversibility analysis of a vertical annulus using TiO2/water nanofluid with MHD flow effects. International Journal of Heat and Mass Transfer, 64, 671–679 (2013)
SARKAR, S., GANGULY, S., and BISWAS, G. Buoyancy driven convection of nanofluids in an infinitely long channel under the effect of a magnetic field. International Journal of Heat and Mass Transfer, 71, 328–340 (2014)
GANGULY, S. and SARKAR, S. Thermally developing combined electroosmotic and pressure-driven flow of nanofluid in a microchannel under the effect of magnetic field. Chemical Engineering Science, 126, 10–21 (2014)
SARKAR, S. and GANGULY, S. Fully developed thermal transport in combined pressure and electroosmotically driven flow of nanofluid in microchannel under the effect of a magnetic field. Microfluidics and Nanofluidics, 18, 623–636 (2015)
MALVANDI, A. and GANJI, D. D. Magnetic field effect on nanoparticles migration and heat transfer of water/alumina nanofluid in channel. Journal of Magnetism and Magnetic Materials, 362, 172–179 (2014)
TURKILMAZOGLU, M. Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids. Chemical Engineering Science, 84, 182–187 (2012)
KANG, Y., YANG, C., and HUANG, X. Dynamic aspects of electroosmotic flow in a cylindrical microcapillary. International Journal of Engineering Science, 40, 2203–2221 (2002)
MOGHADAM, A. J. An exact solution of AC electro-kinetic-driven flow in a circular micro-channel. European Journal of Mechanics B/Fulids, 34, 91–96 (2012)
MOGHADAM, A. J. Exact solution of AC electro-osmotic flow in a microannulus. ASME Journal of Fluids Engineering, 135, 091201 (2013)
MOGHADAM, A. J. Effect of periodic excitation on alternating current electroosmotic flow in a microannular channel. European Journal of Mechanics B Fulids, 48, 1–12 (2014)
JIAN, Y. J., YANG, L. G., and LIU, Q. S. Time periodic electro-osmotic flow through a microannulus. Physics of Fluids, 22, 042001 (2010)
TANG, G. H., LI, X. F., and TAO, W. Q. Microannular electro-osmotic flow with the axisymmetric lattice Boltzmann method. Journal of Applied Physics, 108, 114903 (2010)
ZHAO, G. P., JIAN, Y. J., and LI, F. Q. Streaming potential and heat transfer of nanofluids in microchannels in the presence of magnetic field. Journal of Magnetism and Magnetic Materials, 407, 75–82 (2016)
JING, D. and BHUSHAN, B. Effect of boundary slip and surface charge on the pressure-driven flow. Journal of Colloid and Interface Science, 392, 15–26 (2013)
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Citation: ZHAO, G. P., ZHANG, J. L., WANG, Z. Q., and JIAN, Y. J. Electrokinetic energy conversion of electro-magneto-hydro-dynamic nanofluids through a microannulus under the time-periodic excitation. Applied Mathematics and Mechanics (English Edition), 42(7), 1029–1046 (2021) https://doi.org/10.1007/s10483-021-2745-5
Project supported by the National Natural Science Foundation of China (Nos. 11772162 and 11802147), the Natural Science Foundation of Inner Mongolia (No. 2018LH01015), the Foundation of Inner Mongolia Autonomous Region University Scientific Research Project (No. NJZY18093), and the Foundation of Inner Mongolia University of Technology (No. ZD201714)
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Zhao, G., Zhang, J., Wang, Z. et al. Electrokinetic energy conversion of electro-magneto-hydro-dynamic nanofluids through a microannulus under the time-periodic excitation. Appl. Math. Mech.-Engl. Ed. 42, 1029–1046 (2021). https://doi.org/10.1007/s10483-021-2745-5
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DOI: https://doi.org/10.1007/s10483-021-2745-5
Key words
- electrokinetic energy conversion (EKEC) efficiency
- nanofluid
- streaming potential
- magnetic field
- time-periodic excitation