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.
1998
Mauri, Roberto
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/44309
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