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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
Article

Abstract

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 

Nomenclature

P

pressure gradient between ends of a core

μ

dynamical viscosity

r0

effective radius of stream line

r

radial coordinate

q

flow rate

Δu

velocity increment

λ

slip length

u0

slip velocity

Δq

increment of flow rate

Q

gross flow rate

n

capillary number

ΔQ

gross increment of flow rate

λ/r0

slip length to effective radius

τ

tortuosity of core, 1.2–2.5

k

water-phase effective permeability before treatment by nanofluid

kh

water-phase effective permeability after treatment by nanofluid

h

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

Qh

flow rate including stream slip effect

uh

velocity including stream slip effect

A

cross-sectional area

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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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