Page 280 - Environmental Nanotechnology Applications and Impacts of Nanomaterials
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Nanoparticle Transport, Aggregation, and Deposition  265


           100
                    α = 0.002
                    α = 0.1
                    α = 0.4
            10


         –1  1
          λ



            0.1



           0.01
              0.01             0.1              1               10
                                     dp(µm)
        Figure 7.20 Travel distance (meters) in a homogeneous porous medium as a func-
                                   –1
        tion of particle size (v   0.02 cm sec ). Three different attachment efficiencies
        are assumed accounting for unfavorable and favorable deposition conditions.
        initial particle concentration n o to a concentration of n.) Plotting recip-
        rocal   as a function of particle size (Figure 7.20), it is evident that even
        for nanoparticles with low attachment efficiencies, the characteristic
        distance to which they will travel in a homogeneous media is low. Real
        systems present numerous complexities that may increase or decrease
        the true mobility of nanoparticles. For example, physical inhomo-
        geneities such as fissures may increase mobility by providing prefer-
        ential flow paths. Heterogeneities in media size may decrease porosity,
        thereby increasing deposition. Heterogeneities in surface chemistry
        may decrease the effective surface area available for deposition.
          However, particle size also interacts with heterogeneities to deter-
        mine the effective surface of the collectors that may be “visible” to a par-
        ticle. While larger particles may see an average surface that is
        unfavorable to deposition, nanoparticles may be able to sample the sur-
        face at a finer scale, seeking out more favorable attachment sites. The
        ability to access more of the surface may combine with a higher rate of
        transport to the surface due to Brownian diffusion to reduce nanopar-
        ticle mobility. In one study by Schrick et al. [2], it was observed that the
        mobility of iron nanoparticles in soil columns was less than that of
        larger iron particles (Figure 7.21).
          This observation has direct implications for the use of nanoparticles
        in groundwater remediation applications and removal by granular media
        filters. Highly reactive nanoparticles, such as nano-iron, have been pro-
        posed as a possible remediation tool for contaminants susceptible to
        reduction by Feº. However, both theory and experiments suggest that
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