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The reducibility of the anisotropic Hele-Shaw problem to the isotropic case

✍ Scribed by M.M. Alimov

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
211 KB
Volume
71
Category
Article
ISSN
0021-8928

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✦ Synopsis

It is established that the unilateral Hele-Shaw problem for flows in a channel when there is bulk anisotropy and Saffman-Taylor boundary conditions on the free boundary can be reduced to the isotropic case using a linear non-orthogonal coordinate transformation. Correspondingly, any exact solution of the Hele-Shaw problem for an isotropic medium generates a set of solutions for an anisotropic medium for arbitrary orientation of the principal axes of the permeability tensor with respect to the direction of the channel axis.

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