The Poiseuille flow in a porous medium with nonuniform porosity is studied numerically (brinkman-Forchheimer-Darcy model) and the effect of the spatial and temporal randomness of a uniform velocity field on the convective transport along a porous pipe is investigated analytically. The medium and the velocity field are assumed to be statistically homogeneous. By implementing a single energy equation model, we derive the ensemble average equations which govern the steady transport (given the spatial random variation of the velocity field) and the time-dependent transport in a space and time delta-correlated random velocity field. In both cases, the effective transport coefficient is proven to be the sum of a stagnant and a positive (hydrodynamic) dispersion component.
|Original language||English (US)|
|Title of host publication||Unknown Host Publication Title|
|Number of pages||6|
|State||Published - 1987|
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