Creeping flow through an array of spheres with small volume fraction c is studied theoretically. It is observed that it can be described macroscopically by Brinkman’s equation. A generalized version of the reciprocity relations is used to determine the viscous term up to O(c^2) for the case of random configuration and up to O(c^3) for the case of periodic, cubic configurations of the fixed bed.
|Titolo:||A New Application of the Reciprocity Relations to the Study of Fluid Flow through Fixed Beds|
|Anno del prodotto:||1998|
|Digital Object Identifier (DOI):||10.1023/A:1004299402988|
|Appare nelle tipologie:||1.1 Articolo in rivista|