Title: Scaling behavior in anisotropic Hele-Shaw flow
Abstract:We find the self-similar scaling behavior x\ensuremath{\sim}${\mathit{t}}^{3/5}$,y\ensuremath{\sim}${\mathit{t}}^{2/5}$ for the arms which form in radial Hele-Shaw flow with anisotropic surface energy...We find the self-similar scaling behavior x\ensuremath{\sim}${\mathit{t}}^{3/5}$,y\ensuremath{\sim}${\mathit{t}}^{2/5}$ for the arms which form in radial Hele-Shaw flow with anisotropic surface energy, where x is the longitudinal and y is the transverse coordinate of each primary finger. We first obseve this by direct numerical simulation using a boundary-integral method. Then we analytically derive the scaling law and the full asymptotic shape, by combining a simple boundary-layer analysis with previous results on velocity selection.Read More
Publication Year: 1993
Publication Date: 1993-11-22
Language: en
Type: article
Indexed In: ['crossref', 'pubmed']
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Cited By Count: 88
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