Journal of Hydrodynamics

, Volume 19, Issue 3, pp 365–371 | Cite as

Slip Velocity Model of Porous Walls Absorbed by Hydrophobic Nanoparticles SIO2

  • Chun-yuan Gu
  • Qin-feng DiEmail author
  • Hai-ping Fang


According to new slip effects on nanopatterned interfaces, the mechanism of enhancing water injection into hydrophobic nanomaterial SiO2 was proposed. When Hydrophobic Nanoparticles(HNPs)are adsorbed on surfaces of porous walls, hydrophobic nanoparticles layers are formed instead of hydrated layer, and slip effects appear on the pore wall when a driving pressure is applied to the rock cores sample. It makes fluid to move more quickly and the flow capacity increases greatly. Experiments on changing wettability of porous walls were conducted, and the phenomenon that porous walls surfaces were adsorbed by nanoparticles was validated with the Environment Scan Electron Microscopy(ESEM). The results of displacement experiments show that flowing resistance is greatly reduced, and water-phase effective permeability is increased by 47% averagely after being treated by nanofluid. These results indicate that the slip effect may occur on nanoparticle film of porous walls. Based on this new mechanism of enhancing water injection about hydrophobic nanomaterial SiO2, a slip velocity model in uniform porous media was introduced, and some formulas for the ratio of slip length to radius, slip length,stream slip velocity and flux increment were deduced. and calculated results indicate that the ratio of slip length to radius is about 3.54%–6.97%, and the slip length is about 0.024μm–0.063μm. The proposed model can give a good interpretation for the mechanisms of enhancing water injection with the HNPs.

Key words

hydrophobic nanomaterial SiO2 mechanism of enhancing water injection velocity slip model core displacement experiments adsorption wettability 



pressure gradient between ends of a core


dynamical viscosity


effective radius of stream line


radial coordinate


flow rate


velocity increment


slip length


slip velocity


increment of flow rate


gross flow rate


capillary number


gross increment of flow rate


slip length to effective radius


tortuosity of core, 1.2–2.5


water-phase effective permeability before treatment by nanofluid


water-phase effective permeability after treatment by nanofluid


increasing ratio of water-phase effective permeability before and after treatment by nanofluid


flow rate including stream slip effect


velocity including stream slip effect


cross-sectional area


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  1. [1]
    LU Xian-liang, LU Guang-zhong, LUAN Zhi-an et al. Application of polesilicon in low permeability field [J]. Petroleum Exploration and Development, 2003, 30(6): 110–122(in Chinese).Google Scholar
  2. [2]
    SU Xian-tao, YAN Jun, LU Guang-zhong et al. Application of nanometer poly silicon in oil field development [J]. Oil Drilling and Production Technology 2002, 24(3): 48–51(in Chinese).Google Scholar
  3. [3]
    HE Cheng-zu, HUA Ming-qi. The thickness of water film in oil and gas reservoirs [J]. Petroleum Exploration and Development, 1998, 25(2): 75–77(in Chinese).Google Scholar
  4. [4]
    ZHANG Bei, TANG, Jian-xin. Field tests of enhancing recovery by surfactant flooding in the Zhoucheng Oilfield [J]. Journal of Southwest Petroleum Institute, 2005, 27(6): 53–56(in Chinese).Google Scholar
  5. [5]
    CUI Chang-hai, LI Xin-jian, ZHANG Yi-zhi et al. Application of novel surfactant system with low content in low permeability reservoir[J]. Advances in Fine Petrochemicals, 2004, 5(1): 7–9(in Chinese).Google Scholar
  6. [6]
    ERIC Lauga, MICHAEL P. Brenner, HOWARD A. Stone microfluids: The no-slip boundary condition [J] Handbook of Experimental Fluid Dynamics, 2005, 15: 1–17.Google Scholar
  7. [7]
    CÉCILE Cottin-Bizonne, JEAN-LOUIS Barrat, LYDÉRIC Bocquet et al. Low-friction flows of liquid at nanopatterned interfaces[J]. Nature Material Letters, 2003, 2: 237–240.CrossRefGoogle Scholar
  8. [8]
    DEREK C. Tretheway, CARL D. Meinhart. Apparent fluid slip at hydrophobic microchannel walls [J]. Physics of Fluids, 2002, 14: L9–L12.CrossRefGoogle Scholar
  9. [9]
    WALSH M. J. Riblets as a viscous drag reduction technique [J]. AIAA Journal, 1983, 21(4): 485–486.CrossRefGoogle Scholar
  10. [10]
    HUANG De-bin, DENG Xian-he, WANG Yang-jun. Numerical simulation study of turbulent drag reduction over ribelt surfaces of tubes[J]. Journal of Hydrodynamics, Ser. A, 2005, 20(1): 101–105(in Chinese).Google Scholar
  11. [11]
    LIU Zhi-hua, DONG Wen-cai, XIA Fei. The effects of the tip shape of V-groove on drag reduction and flow field characteristics by numerical analysis[J]. Journal of Hydrodynamics, Ser. A, 2006, 21(2): 223–231(in Chinese).Google Scholar
  12. [12]
    CONG Qian, FENG Yun, REN Lu-quan. Affecting of riblets shape of nonsmooth surface on drag reduction [J]. Journal of Hydrodynamics, Ser.A, 2006, 21(2): 232–238(in Chinese).Google Scholar
  13. [13]
    SUN Lei, LIN Jian-zhong, BAO Fu-bing. Numerical simulation on the deposition of nanoparticles under laminar conditions[J]. Journal of Hydrodynamics, Ser. B, 2006, 18(6): 676–680.CrossRefGoogle Scholar
  14. [14]
    LIU Ci-qun, GUO Bai-qi, SONG Fu-qun. Redical flow in porous media with dispersion and adsorption[J]. Journal of Hydrodynamics, Ser. B, 2004, 16(2): 216–219.zbMATHGoogle Scholar
  15. [15]
    ZHAO Jian-fu, LI Wei. A model of the force between air and water in aerated flow [J]. Journal of Hydrodynamics, Ser. B, 1998, 13(4): 381–387.Google Scholar
  16. [16]
    CAO Bing-yang, CHEN Min, GUO Zheng-yuan. Molecular dynamics studies of slip flow in nanochannel [J]. Journal of Engineering Thermophysics, 2003, 24(4): 670–672(in Chinese).Google Scholar
  17. [17]
    CARMAN P. C. Fluid flow through a granular bed [J]. Transactions of the Institution of Chemical Engineers, 1937, 15: 150–167.Google Scholar

Copyright information

© China Ship Scientific Research Center 2007

Authors and Affiliations

  1. 1.Shanghai Institute of Applied Mathematics and MechanicsShanghai UniversityShanghaiChina
  2. 2.Shanghai Institute of Applied PhysicsChinese Academy of ScineseShanghaiChina

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