Scaling relations of viscous fingers in anisotropic hele-shaw cells

Hidetsugu Sakaguchi, Kazutaka Noto

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)

    Abstract

    Viscous fingers in a channel with surface tension anisotropy are numerically studied. Scaling relations between the tip velocity v, the tip radius ρ, and the pressure gradient P x are investigated for two kinds of boundary conditions of pressure, when ν is sufficiently large. The power-law relations for the anisotropic viscous fingers are compared with two-dimensional dendritic growth. The exponents of the power-law relations are theoretically evaluated.

    Original languageEnglish
    Article number024601
    Journaljournal of the physical society of japan
    Volume78
    Issue number2
    DOIs
    Publication statusPublished - Feb 2009

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

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