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Roughening dynamics of spontaneous radial imbibition

2015/03/13 by Yong‐Jun Chen, Yong-Jun Chen, Kenichi Yoshikawa +2
Computer Science · Materials Science · Physics and Astronomy · #Computer Graphics and Visualization Techniques #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Textile materials and evaluations #Theoretical and Computational Physics #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.1503.03943

arxiv created 2015/03/13 · openalex publication_date 2015/03/13 · arxiv updated 2015/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We performed an experimental observation on the spontaneous imbibition of water in a porous media in a radial Hele-Shaw cell and confirmed Washburn's law, where r is distance and t is time. Spontaneous imbibition with a radial interface window followed scaling dynamics when the front invaded into the porous media. We found a growth exponent (\beta=0.6) that was independent of the pressure applied at the liquid inlet. The roughness exponent decreased with an increase in pressure. The roughening dynamics of two dimensional spontaneous radial imbibition obey Family-Vicsek scaling, which is different from that with a one-dimensional planar interface window.

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