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.
A New Application of the Reciprocity Relations to the Study of Fluid Flow through Fixed Beds
MAURI, ROBERTO
1998-01-01
Abstract
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.File in questo prodotto:
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