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    Nonlinear Flow Properties of Newtonian Fluids through Rough Crossed Fractures

    Zhenguo Liu1,2, Shuchen Li1,3, Richeng Liu3,*, Changzhou Zheng2

    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.2, pp. 1427-1440, 2023, DOI:10.32604/cmes.2023.025414

    Abstract The nonlinear flow properties of Newtonian fluids through crossed fractures are estimated by considering the influences of length, aperture, and surface roughness of fractures. A total of 252 computational runs are performed by creating 36 computational domains, in which the Navier-Stokes equations are solved. The results show that the nonlinear relationship between flow rate and hydraulic gradient follows Forchheimer’s law–based equation. When the hydraulic gradient is small (i.e., 10−6), the streamlines are parallel to the fracture walls, indicating a linear streamline distribution. When the hydraulic gradient is large (i.e., 100), the streamlines are disturbed by a certain number of eddies,… More >

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