Constitutive equations for flow of an incompressible viscous fluid through a porous medium

@inproceedings{Williams1978ConstitutiveEF,
  title={Constitutive equations for flow of an incompressible viscous fluid through a porous medium},
  author={William O. Williams},
  year={1978}
}
Herein we present a set of equations which are proposed to describe the flow of an incompressible viscous fluid through a rigid porous medium. Terms are included which may account for capillary forces, for drag forces and for viscous shear effects. There are three unspecified coefficients in these linearized equations and we suggest how these may be evaluated, first by indicating a simple setting in which the equations reduce to D'Arcy's law, another in which they take the form of the classical… CONTINUE READING

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