Asymptotic behavior of the longitudinal permeability of a periodic array of thin cylinders

Asymptotic behavior of the longitudinal permeability of a periodic array of thin cylinders

We consider a Newtonian fluid flowing at low Reynolds numbers along a spatially periodic array of cylinders of diameter proportional to a small nonzero parameter $\epsilon$. Then for $\epsilon \neq 0$ and close to $0$ we denote by $K_{II}[\epsilon]$ the longitudinal permeability. We are interes...

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Bibliographic Details
Main Authors: Paolo Musolino, Vladimir Mityushev
Format: Article
Language:English
Published: Texas State University 2015-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Longitudinal permeability
asymptotic expansion
rectangular array
singularly perturbed domain
integral equations
logarithmic capacity
Online Access:http://ejde.math.txstate.edu/Volumes/2015/290/abstr.html

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http://ejde.math.txstate.edu/Volumes/2015/290/abstr.html

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