Membrane and Water Treatment

  • 제12권1호
  • /
  • Pages.37-41
  • /
  • 2021
  • /
  • 2005-8624(pISSN)
  • /
  • 2092-7037(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Fast transport with wall slippage

  • Tang, Zhipeng (College of Mechanical Engineering, Changzhou Vocational Institute of Mechatronic Technology) ;
  • Zhang, Yongbin (College of Mechanical Engineering, Changzhou University)
  • 투고 : 2020.09.26
  • 심사 : 2021.02.22
  • 발행 : 2021.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents the multiscale calculation results of the very fast volume transport in micro/nano cylindrical tubes with the wall slippage. There simultaneously occurs the adsorbed layer flow and the intermediate continuum fluid flow which are respectively on different scales. The modeled fluid is water and the tube wall is somewhat hydrophobic. The calculation shows that the power loss on the tube no more than 1.0 Watt/m can generate the wall slippage even if the fluid-tube wall interfacial shear strength is 1 MPa; The power loss on the scale 104 Watt/m produces the volume flow rate through the tube more than one hundred times higher than the classical hydrodynamic theory calculation even if the fluid-tube wall interfacial shear strength is 1 MPa. When the wall slippage occurs, the volume flow rate through the tube is in direct proportion to the power loss on the tube but in inverse proportion to the fluid-tube wall interfacial shear strength. For low interfacial shear strengths such as no more than 1 kPa, the transport in the tube appears very fast with the magnitude more than 4 orders higher than the classical calculation if the power loss on the tube is on the scale 104 Watt/m.

키워드

참고문헌

  1. Calabro, F. (2017), "Modeling the effects of material chemistry on water flow enhancement in nanotube membranes", MRS Bull., 42, 289-293. https://doi.org/0.1557/mrs.2017.58. https://doi.org/10.1557/mrs.2017.58
  2. Calabro, F., Lee, K.P. and Mattia, D. (2013), "Modeling flow enhancement in nanochannels: Viscosity and slippage", Appl. Math. Lett., 26, 991-994. https://doi.org/10.1016/j.aml.2013.05.004.
  3. Ghoufi, A., Szymczyk, A. and Malfreyt, P. (2016), "Ultrafast diffusion of ionic liquids confined in carbon nanotubes", Sci. Rep., 6, 28518. https://doi.org/10.1038/srep28518.
  4. Koklu, A., Li, J., Sengor, S. and Beskok, A. (2017), "Pressure-driven water flow through hydrophilic alumina nanomembranes", Microfluid. Nanofluid., 21, 124-135. https://doi.org/10.1007/s10404-017-1960-1.
  5. Liu, C. and Li, Z. (2011), "On the validity of the Navier-Stokes equations for nanoscale liquid flows: The role of channel size", AIP Adv., 1, 032108. https://doi.org/10.1063/1.3621858.
  6. Majumder, M., Chopra, N., Andrews, R. and Hinds, B. J. (2005), "Enhanced flow in carbon nanotubes", Nature, 438, 44. https://doi.org/10.1038/438044a.
  7. Mattia, D. and Calabro, F. (2012), "Explaining high flow rate of water in carbon nanotubes via solid-liquid molecular interactions", Microfluid. Nanofluid., 13, 125-130. https://doi.org/10.1007/s10404-012-0949-z.
  8. Mattia, D., Lee, K.P. and Calabro', F. (2014), "Water permeation in carbon nanotube membranes", Current Opinion Chem. Eng., 4, 32-37. https://doi.org/10.1016/j.coche.2014.01.006.
  9. Myers, T.G. (2011), "Why are slip lengths so large in carbon nanotubes?", Microfluid. Nanofluid., 10, 1141-1145. https://doi.org/10.1007/s10404-010-0752-7.
  10. Ritos, K., Mattia, D., Calabro, F. and Reese, J. M. (2014), "Flow enhancement in nanotubes of different materials and lengths", J. Chem. Phys., 140, 014702. https://doi.org/10.1063/1.4846300.
  11. Sofos, F., Karakasidis, T.E. and Liakopoulos, A. (2015), "Fluid structure and system dynamics in nanodevices for water desalination", Desalin. Water Treat., 55, 1-11. https://doi.org/10.1080/19443994.2015.1049966.
  12. Tang, Z.P. and Zhang, Y.B. (2020), "Critical multiscale flow for interfacial slippage in microchannel", Front. Heat Mass Transf., 14, 26. http://dx.doi.org/10.5098/hmt.14.26.
  13. Thomas, J.A. and Mcgaughey, A.J.H. (2008), "Reassessing fast water transport through carbon nanotubes", Nano Lett., 8, 2788-2793. https://doi.org/10.1021/nl8013617.
  14. Whitby, M. and Quirke, N. (2007), "Fluid flow in carbon nanotubes and nanopipes", Nature Nanotech., 2, 87-94. https://doi.org/10.1038/nnano.2006.175.
  15. Zhang, Y.B. (2014), "Review of hydrodynamic lubrication with interfacial slippage", J. Balkan Trib. Assoc., 20, 522-538.
  16. Zhang, Y.B. (2016), "The flow equation for a nanoscale fluid flow", Int. J. Heat Mass Transf., 92, 1004-1008. https://doi.org/10.1016/j.ijheatmasstransfer.2015.09.008.
  17. Zhang, Y.B. (2019a), "Power loss in multiscale mass transfer", Front. Heat Mass Transf., 13, 22. http://dx.doi.org/10.5098/hmt.13.22.
  18. Zhang, Y.B. (2019b), "Influence of the fluid-wall interaction on multiscale flow through a micro slit pore considering the adsorbed layer-fluid interfacial slippage", Front. Heat Mass Transf., 13, 27. http://dx.doi.org/10.5098/hmt.13.27.
  19. Zhang, Y.B. (2020), "Modeling of flow in a micro cylindrical tube with the adsorbed layer effect: Part II-Results for interfacial slippage", Int. J. Heat Mass Transf. (submitted)