Abstract
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 |
| Publisher | ASME |
| Pages | 395-400 |
| Number of pages | 6 |
| Volume | 2 |
| State | Published - 1987 |
ASJC Scopus subject areas
- Engineering(all)