Momentum transfer at the boundary between a porous medium and a homogeneous fluid—I. Theoretical development

https://doi.org/10.1016/0017-9310(94)00346-WGet rights and content

Abstract

The momentum transfer condition that applies at the boundary between a porous medium and a homogeneous fluid is developed as a jump condition based on the non-local form of the volume averaged momentum equation. Outside the boundary region this non-local form reduces to the classic transport equations, i.e. Darcy's law and Stokes' equations. The structure of the theory is comparable to that used to develop jump conditions at phase interfaces, thus experimental measurements are required to determine the coefficient that appears in the jump condition. The development presented in this work differs from previous studies in that the jump condition is constructed to join Darcy's law with the Brinkman correction to Stokos' equations. This approach produces a jump in the stress but not in the velocity, and this has important consequences for heat transfer processes since it allows the convective transport to be continuous at the boundary between a porous medium and a homogeneous fluid.

References (26)

  • D.A. Nield et al.

    Convection in Porous Media

    (1992)
  • C.W. Somerton et al.

    On the thermal instability of superposed porous and fluid layers

    Trans. ASME

    (1982)
  • J.E. Maneval et al.

    Use of NMR as an experimental probe in multiphase systems: determination of the instrument weighting function for measurements of liquid-phase volume fraction

    Water Resour. Res.

    (1990)
  • Cited by (0)

    View full text