Steadily growing viscous fingers in anisotropic Hele-Shaw cells

Hidetsugu Sakaguchi, Kazutaka Noto

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    We investigate viscous fingers under the influence of surface tension anisotropy. Steady solutions in a channel are numerically solved using the Newton method. We study relations among the tip velocity v, the tip radius ρ and the pressure gradient Px. Power law relations are found in a parameter range, but the anisotropic viscous fingers do not always satisfy the relations such as υρ2 = const. satisfied by dendrites in crystal growth.

    Original languageEnglish
    Article number044402
    Journaljournal of the physical society of japan
    Volume77
    Issue number4
    DOIs
    Publication statusPublished - Apr 1 2008

    Fingerprint

    Newton methods
    dendrites
    cells
    pressure gradients
    crystal growth
    interfacial tension
    anisotropy
    radii

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

    Cite this

    Steadily growing viscous fingers in anisotropic Hele-Shaw cells. / Sakaguchi, Hidetsugu; Noto, Kazutaka.

    In: journal of the physical society of japan, Vol. 77, No. 4, 044402, 01.04.2008.

    Research output: Contribution to journalArticle

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