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On the Brinkman correction in unidirectional Hele-Shaw flows

✍ Scribed by Zeng, Jie; Yortsos, Yannis C.; Salin, Dominique

Book ID
120077383
Publisher
American Institute of Physics
Year
2003
Tongue
English
Weight
456 KB
Volume
15
Category
Article
ISSN
1070-6631

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This note presents a derivation of the appropriate inertial corrections to the Darcy law in a Hele-Shaw cell based on a perturbative method and a polynomial approximation to the velocity field. The obtained equation is optimal in the sense that every method of weighted residuals will converge to it