Abstract
In this Letter, it is shown how the determination of the effective coefficients involved in the macroscopic model for pressure driven and/or Couette flow in a rough fracture can be simplified by solving only one closure problem instead of two as originally reported in Prat et al. (Transp Porous Media 48(3):291–313, 2002. https://doi.org/10.1023/a:1015772525610).
References
Prat, M., Plouraboué, F., Letalleur, N.: Averaged Reynolds equation for flows between rough surfaces in sliding motion. Transp. Porous Media 48(3), 291–313 (2002). https://doi.org/10.1023/a:1015772525610
Vallet, C., Lasseux, D., Sainsot, P., Zahouani, H.: Real versus synthesized fractal surfaces: contact mechanics and transport properties. Tribol. Int. 42, 250–259 (2009). https://doi.org/10.1016/j.triboint.2008.06.005
Vallet, C., Lasseux, D., Zahouani, H., Sainsot, P.: Sampling effect on contact and transport properties between fractal surfaces. Tribol. Int. 42, 1132–1145 (2009). https://doi.org/10.1016/j.triboint.2009.02.013
Whitaker, S.: The Method of Volume Averaging. Springer, Dordrecht (1999). https://doi.org/10.1007/978-94-017-3389-2
Zaouter, T., Lasseux, D., Prat, M.: Gas slip flow in a fracture: local Reynolds equation and upscaled macroscopic model. J. Fluid Mech. 837, 413–442 (2018). https://doi.org/10.1017/jfm.2017.868
Zaouter, T., Lasseux, D., Prat, M.: Determination of the transmissivity of a heterogeneous anisotropic fracture in slip flow conditions. Phys. Rev. E 10, 033115 (2019). https://doi.org/10.1103/PhysRevE.100.033115
Zaouter, T., Valdés-Parada, F.J., Prat, M., Lasseux, D.: Effective transmissivity for slip flow in a fracture. J. Fluid Mech. 969, 9 (2023). https://doi.org/10.1017/jfm.2023.564
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Lasseux, D., Valdés-Parada, F.J. & Prat, M. Effective Reynolds Model Coefficients for Flow Between Rough Surfaces in Sliding Motion. Transp Porous Med 151, 233–237 (2024). https://doi.org/10.1007/s11242-023-02040-1
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DOI: https://doi.org/10.1007/s11242-023-02040-1