𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A general closure scheme for the method of volume averaging

✍ Scribed by G.H. Crapiste; E. Rotstein; S. Whitaker

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
872 KB
Volume
41
Category
Article
ISSN
0009-2509

No coin nor oath required. For personal study only.

✦ Synopsis

The method of volume averaging is used to derive the governing differential equations for multiphase transport, and a general closure scheme is developed for the spatial deviations. The closure scheme takes the form of a set of partial differential equations that are obtained without recourse to homogeneous or spatially periodii systems. However, solution of these equations in representative regions of a multiphase system naturally gives rise to spatially periodic boundary conditions. The method is illustrated with an analysis of the process of diffusion and reaction in a rigid porous medium.

1. lNTRODUCTlON

In a generic phase 8, the general transport equation for some property *# can be written as

πŸ“œ SIMILAR VOLUMES

Theorem for the local volume average of
Theorem for the local volume average of a gradient revised
✍ VladimΓ­r Veverka πŸ“‚ Article πŸ“… 1981 πŸ› Elsevier Science 🌐 English βš– 568 KB

The theorem for the local volume average of a gmdient formulated by SIattery[l] is analyzed from the mathematical point of view. It is shown that the expression for the average of a gradient as sum of the gradient of an average and of an interior wall term ("tortuosity") for a porous material is mat