Document Detail


Nonlinear effects due to gravity in a conical Hele-Shaw cell.
MedLine Citation:
PMID:  11909247     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
In this work we study the viscous fingering instability in a conical Hele-Shaw cell under the presence of gravity. We focus on understanding how the dynamical evolution of the fingering patterns is affected by the combined action of gravity and cell topology. Gravity-induced nonlinear effects are studied by a mode-coupling approach. Our results show that the interplay between gravity and cell topology leads to important effects, and profoundly modifies pattern evolution. We have found that the most dramatic consequences refer to finger tip behavior. Depending on the relative values of fluids' densities and viscosities, finger tip splitting reaches maximum intensity at well defined, preferred values of the cell opening angle. In fact, finger tip splitting can be completely replaced by finger tip sharpening as the cell angle is varied. Finger competition dynamics is also significantly changed: it is considerably enhanced (restrained) if the displaced fluid is more (less) dense.
Authors:
José A Miranda
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Publication Detail:
Type:  Journal Article     Date:  2002-02-19
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  65     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2002 Mar 
Date Detail:
Created Date:  2002-03-22     Completed Date:  2002-05-13     Revised Date:  2003-11-03    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  036310     Citation Subset:  -    
Affiliation:
Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, Recife, PE 50670-901, Brazil. jme@lftc.ufpe.br
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