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Dispersion in spatially periodic porous media

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Abstract.

The method of volume averaging is applied to ordered and disordered spatially periodic porous media in two dimensions in order to compute the components of the dispersion tensor for low Peclet numbers ranging from 0.1 to 100. The effect of different parameters on the dispersion tensor is studied. The longitudinal dispersion coefficient decreases with an increase in disorder while the transverse dispersion coefficient increases. The location of discs in the unit cell influences the longitudinal dispersion coefficient significantly, compared to the transverse dispersion coefficient. Under a laminar flow regime, the dispersion coefficient is independent of Rep. The predicted functional dependency of dispersion on the Peclet number agrees with experimental data. The predicted longitudinal dispersion coefficient in disordered porous media is smaller than that of the experimental data. However, the predicted transverse dispersion coefficient agrees with the experimental data.

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Acknowledgements.

We thank Professor Stephen Whitaker for providing Figures 17 and 18.

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Authors and Affiliations

  1. Assistant Professor, Department of Agricultural Engineering, Faculty of Agriculture, Akdeniz University, Antalya 07059, Turkey

    D. Buyuktas

  2. Professor, Departments of Land, Air and Water Resources (Hydrology Program) and Biological and Agricultural Engineering, University of California, Davis CA 95616 USA

    W. W. Wallender

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  1. D. Buyuktas
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Correspondence to W. W. Wallender.

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Buyuktas, D., Wallender, W.W. Dispersion in spatially periodic porous media. Heat and Mass Transfer 40, 261–270 (2004). https://doi.org/10.1007/s00231-003-0441-0

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