scholarly journals Pattern formation of the three-layer Saffman-Taylor problem in a radial Hele-Shaw cell

2020 ◽  
Vol 5 (12) ◽  
Author(s):  
M. Zhao ◽  
Pedro H. A. Anjos ◽  
J. Lowengrub ◽  
Shuwang Li
Keyword(s):  
Pattern Formation ◽  
Taylor Problem ◽  
Hele Shaw Cell

Influence of wetting on fingering patterns in lifting Hele-Shaw flows

Soft Matter ◽  
2014 ◽  
Vol 10 (38) ◽  
pp. 7459-7467 ◽  
Author(s):  
Pedro H. A. Anjos ◽  
José A. Miranda
Keyword(s):  
Pattern Formation ◽  
Formation Dynamics ◽  
Wetting Fluid ◽  
Hele Shaw Cell

We study the pattern formation dynamics related to the displacement of a viscous wetting fluid by a less viscous nonwetting fluid in a lifting Hele-Shaw cell.

scholarly journals A Review On Viscous Fingering Pattern Formation In Lifted Hele- Shaw Cell

2020 ◽  
Vol 1455 ◽  
pp. 012022
Author(s):  
Akhileshwar Singh ◽  
Yogesh Singh ◽  
Krishna Murari Pandey
Keyword(s):  
Pattern Formation ◽  
Viscous Fingering ◽  
Hele Shaw Cell

PATTERN FORMATION IN AN ETCHED RADIAL HELE SHAW CELL

Fractals ◽  
1996 ◽  
Vol 04 (02) ◽  
pp. 149-159 ◽  
Author(s):  
M. T. BATCHELOR ◽  
B. I. HENRY
Keyword(s):  
Pattern Formation ◽  
Experimental Results ◽  
Model Parameters ◽  
Numerical Schemes ◽  
Hele Shaw Cell

We have introduced numerical schemes for simulating pattern formation at the interface between two imiscible fluids in an etched radial Hele Shaw cell. Our simulations, which have been carried out over a range of two model parameters, are compared with experimental results that have been reported for a range of plate spacings and applied pressures. The simulations reproduce the complete range of morphology transitions in the experiments.

scholarly journals Weakly Nonlinear Investigation of the Saffman–Taylor Problem in a Rectangular Hele–Shaw Cell

1998 ◽  
Vol 12 (09) ◽  
pp. 931-949 ◽  
Author(s):  
José A. Miranda ◽  
Michael Widom
Keyword(s):  
Symmetry Breaking ◽  
Linear Stability ◽  
Growth Rates ◽  
Mode Coupling ◽  
Nonlinear Effects ◽  
Weakly Nonlinear ◽  
Coupling Equations ◽  
Taylor Problem ◽  
Finger Tip ◽  
Hele Shaw Cell

We analyze the Saffman–Taylor viscous fingering problem in rectangular geometry. We investigate the onset of nonlinear effects and the basic symmetries of the mode coupling equations, highlighting the link between interface asymmetry and viscosity contrast. Symmetry breaking occurs through enhanced growth of sub-harmonic perturbations. Our results explain the absence of finger tip-splitting in the early flow stages, and saturation of growth rates compared with the predictions of linear stability.

scholarly journals Enhancing the yield of calcium carbonate precipitation by obstacles in laminar flow in confined geometry

2021 ◽  
Author(s):  
Gabor Schuszter ◽  
Edina Balog ◽  
Akos Kukovecz ◽  
Katalin Viktória Bere ◽  
László Janovák ◽  
...  
Keyword(s):  
Porous Media ◽  
Calcium Carbonate ◽  
Pattern Formation ◽  
Laminar Flow ◽  
Precipitation Pattern ◽  
Carbonate Precipitation ◽  
Calcium Carbonate Precipitation ◽  
Confined Geometry ◽  
Hele Shaw Cell

Flow-driven precipitation experiments are performed in model porous media shaped within the confinement of a Hele-Shaw cell. Precipitation pattern formation and the yield of the reaction are investigated when borosilicate...

Pattern formation in the splay Freedericks transition of a nematic side-group polysiloxane

1993 ◽  
Vol 3 (6) ◽  
pp. 865-889 ◽  
Author(s):  
Norbert Schwenk ◽  
Hans Wolfgang Spiess
Keyword(s):  
Pattern Formation ◽  
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