, 16:339 | Cite as

Diffusion rate of polyethylene glycol into cell walls of red pine following vacuum impregnation

  • Dragica JeremicEmail author
  • Carlos Quijano-Solis
  • Paul Cooper


Rates of penetration of polyethylene glycol (PEG) molecular weight (MW) 1,000, 2,000, and 4,000 from 30% aqueous solutions into hydrated cell walls of red pine samples following vacuum impregnation were estimated by examining retained swelling of the samples after different post-treatment conditioning times. To model PEG diffusion into wood cell walls, a hollow cylinder diffusion model was developed and diffusion coefficients were estimated and compared to those determined with a plane membrane diffusion model. The models gave similar results. The diffusion coefficient of PEG MW 1,000 at room temperature was estimated to be in the order of 10−13 m2/s, while the penetration rates of both PEG 2,000 and 4,000 were about an order lower. These findings indicate that treatments of wood by PEG can be significantly shorter than present practices of soaking green samples in solution if the samples are vacuum/pressure impregnated with PEG solution.


Wood Cell wall Diffusion Cylinder Plane Polymer Polyethylene glycol MW 


\( \sqrt t \)

Square root of time


Diffusion coefficient


Equilibrium moisture content


Fiber saturation point


Longitudinal direction


Total amount of substance diffused into the cell walls at equilibrium


Amount of substance diffused into the cell walls at any time t


Molecular weight


Molecular weight distribution


Polyethylene glycol


Radial direction


Hydrodynamic radius of PEG molecule in water solution


Hydrodynamic radius of water molecule


Retained swelling upon treatment, %


Scanning transmission electron microscope coupled with energy dispersive X-ray analyzer


Tangential direction

\( V_{\text{TR}}^{\text{D}} \)

Dry volume of samples upon treatment, cm3

\( V_{\text{UNTR}}^{\text{D}} \)

Initial volume of freeze-dried samples, cm3


Viscosity of aqueous PEG solution


Viscosity of water


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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  • Dragica Jeremic
    • 1
    Email author
  • Carlos Quijano-Solis
    • 1
  • Paul Cooper
    • 1
  1. 1.Faculty of ForestryUniversity of TorontoTorontoCanada

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