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A new application of the reciprocity relations to the study of fluid flows through fixed beds (1998)

Mauri, Roberto

Springer

Journal of engineering mathematics 33 (1998), S. 103-112

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ISSN: 1573-2703

Keywords: creeping flow ; Brinkman's equation ; porous media ; array of spheres

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Technology

Notes: Abstract Creeping flow through an array of spheres with small volume fraction φ 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(φ2) for the case of random configuration and up to O(φ3) for the case of periodic, cubic configurations of the fixed bed.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1004299402988

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