Effective equation governing convective transport in porous media

Journal Article · Mon Aug 01 00:00:00 EDT 1988 · J. Heat Transfer; (United States)

DOI:https://doi.org/10.1115/1.3250539· OSTI ID:6777424

Georgiadis, J G; Catton, I

The fine structure of disordered porous media (e.g., fully saturated randomly packed beds) causes microscopic velocity fluctuations. The effect of the spatial and temporal randomness of the interstitial velocity field on the convective transport of a scalar (heat or mass) is investigated analytically. For a uniform mean velocity profile, the effective heat transport equation is obtained as the equation governing the transport of the ensemble average of the scalar under conditions of steady or unsteady random fields (with given statistics). In both cases, it is shown that the effective transport coefficient is enhanced by a hydrodynamic dispersive component, which is an explicit function of the mean filtration velocity. The agreement with experiments is encouraging. The effective transport equation is then generalized to three-dimensional mean velocity fields for isotropic media.

• Research Organization: Department of Mechanical, Aerospace, and Nuclear Engineering, University of California, Los Angeles, CA 90024
• OSTI ID: 6777424
• Journal Information: J. Heat Transfer; (United States), Journal Name: J. Heat Transfer; (United States) Vol. 110:3; ISSN JHTRA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
640410 -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COMPUTER CALCULATIONS
DISPERSION RELATIONS
ENERGY TRANSFER
FILTRATION
FLUID FLOW
HEAT TRANSFER
MASS TRANSFER
MATERIALS
MATHEMATICAL MODELS
PHYSICAL PROPERTIES
POROUS MATERIALS
SEPARATION PROCESSES
STOCHASTIC PROCESSES
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES
TURBULENT FLOW