Experiments of interfacial roughening in Hele-Shaw flows with weak quenched disorder

Jordi Soriano, Jordi Ortín, and A. Hernández-Machado
Phys. Rev. E 66, 031603 – Published 16 September 2002
PDFExport Citation

Abstract

We have studied the kinetic roughening of an oil-air interface in a forced imbibition experiment in a horizontal Hele-Shaw cell with quenched disorder. Different disorder configurations, characterized by their persistence length in the direction of growth, have been explored by varying the average interface velocity v and the gap spacing b. Through the analysis of the rms width as a function of time, we have measured a growth exponent β0.5 that is almost independent of the experimental parameters. The analysis of the roughness exponent α through the power spectrum has shown different behaviors at short (α1) and long (α2) length scales, separated by a crossover wave number qc. The values of the measured roughness exponents depend on experimental parameters, but at large velocities we obtain α11.3 independently of the disorder configuration. The dependence of the crossover wave number with the experimental parameters has also been investigated, measuring qcv0.47 for the shortest persistence length, in agreement with theoretical predictions.

  • Received 4 January 2002

DOI:https://doi.org/10.1103/PhysRevE.66.031603

©2002 American Physical Society

Authors & Affiliations

Jordi Soriano*, Jordi Ortín, and A. Hernández-Machado

  • Departament d’Estructura i Constituents de la Matèria, Universitat de Barcelona, Avenida Diagonal 647, E-08028 Barcelona, Spain

  • *Electronic address: soriano@ecm.ub.es

References (Subscription Required)

Click to Expand
Issue

Vol. 66, Iss. 3 — September 2002

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×