Fluid-particle model of flow through porous media: The case of uniform particle distribution and parallel velocity fields

@article{Allan2006FluidparticleMO,
  title={Fluid-particle model of flow through porous media: The case of uniform particle distribution and parallel velocity fields},
  author={Fathi M. Allan and Mohammad Hamdan},
  journal={Applied Mathematics and Computation},
  year={2006},
  volume={183},
  pages={1208-1213}
}
Under the assumption of a uniform distribution of dust particles, we develop a mathematical model to describe the flow of a dusty fluid through isotropic consolidated and granular porous materials. Intrinsic volume averaging is employed to develop continuity and momentum equations when the fluid- and dust-phase velocities are everywhere parallel. 

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