Effect of gas generation by chemical reaction on viscous fingering in a Hele–Shaw cell

2021 ◽  
Vol 33 (9) ◽  
pp. 093104
Author(s):  
Weicen Wang ◽  
Chunwei Zhang ◽  
Anindityo Patmonoaji ◽  
Yingxue Hu ◽  
Shintaro Matsushita ◽  
...  
Keyword(s):  
Chemical Reaction ◽  
Viscous Fingering ◽  
Gas Generation ◽  
Hele Shaw Cell

Experimental study on miscible viscous fingering involving viscosity changes induced by variations in chemical species concentrations due to chemical reactions

2007 ◽  
Vol 571 ◽  
pp. 475-493 ◽  
Author(s):  
YUICHIRO NAGATSU ◽  
KENJI MATSUDA ◽  
YOSHIHITO KATO ◽  
YUTAKA TADA
Keyword(s):  
Viscous Liquid ◽  
Chemical Reaction ◽  
Chemical Species ◽  
Viscous Fingering ◽  
Shielding Effect ◽  
Species Concentration ◽  
Cell Changes ◽  
Hele Shaw Cell ◽  
Instantaneous Chemical Reaction ◽  
Instantaneous Chemical

When a reactive and miscible less-viscous liquid displaces a more-viscous liquid in a Hele-Shaw cell, reactive miscible viscous fingering takes place. We succeed in showing experimentally how a reactive miscible viscous fingering pattern in a radial Hele-Shaw cell changes when the viscosity of the more-viscous liquid is varied owing to variation in chemical species concentration induced by an instantaneous chemical reaction. This is done by making use of a polymer solution's dependence of viscosity on pH. When the viscosity is increased by the chemical reaction, the shielding effect is suppressed and the fingers are widened. As a result, the ratio of the area occupied by the fingering pattern in a circle whose radius is the length of the longest finger is larger in the reactive case than in the non-reactive case. When the viscosity is decreased by the chemical reaction, in contrast, the shielding effect is enhanced and the fingers are narrowed. These lead to the area ratio being smaller in the reactive case than in the non-reactive case. A physical model to explain this change in the fingering pattern caused by the chemical reaction is proposed.

Characterization of viscous fingering in a radial Hele-Shaw cell by image analysis

1999 ◽  
Vol 26 (1-2) ◽  
pp. 153-160 ◽  
Author(s):  
M.-N. Pons ◽  
E. M. Weisser ◽  
H. Vivier ◽  
D. V. Boger
Keyword(s):  
Image Analysis ◽  
Viscous Fingering ◽  
Hele Shaw Cell

scholarly journals Numerical investigation of controlling interfacial instabilities in non-standard Hele-Shaw configurations

2019 ◽  
Vol 877 ◽  
pp. 1063-1097 ◽  
Author(s):  
Liam C. Morrow ◽  
Timothy J. Moroney ◽  
Scott W. McCue
Keyword(s):  
Viscous Fluid ◽  
Linear Prediction ◽  
Applied Mathematics ◽  
Viscous Fingering ◽  
Time Dependent ◽  
Linear Stability Theory ◽  
Inviscid Fluid ◽  
Interfacial Instabilities ◽  
Hele Shaw Cell ◽  
Injection Rates

Viscous fingering experiments in Hele-Shaw cells lead to striking pattern formations which have been the subject of intense focus among the physics and applied mathematics community for many years. In recent times, much attention has been devoted to devising strategies for controlling such patterns and reducing the growth of the interfacial fingers. We continue this research by reporting on numerical simulations, based on the level set method, of a generalised Hele-Shaw model for which the geometry of the Hele-Shaw cell is altered. First, we investigate how imposing constant and time-dependent injection rates in a Hele-Shaw cell that is either standard, tapered or rotating can be used to reduce the development of viscous fingering when an inviscid fluid is injected into a viscous fluid over a finite time period. We perform a series of numerical experiments comparing the effectiveness of each strategy to determine how these non-standard Hele-Shaw configurations influence the morphological features of the inviscid–viscous fluid interface. Surprisingly, a converging or diverging taper of the plates leads to reduced metrics of viscous fingering at the final time when compared to the standard parallel configuration, especially with carefully chosen injection rates; for the rotating plate case, the effect is even more dramatic, with sufficiently large rotation rates completely stabilising the interface. Next, we illustrate how the number of non-splitting fingers can be controlled by injecting the inviscid fluid at a time-dependent rate while increasing the gap between the plates. Our simulations compare well with previous experimental results for various injection rates and geometric configurations. We demonstrate how the number of non-splitting fingers agrees with that predicted from linear stability theory up to some finger number; for larger values of our control parameter, the fully nonlinear dynamics of the problem leads to slightly fewer fingers than this linear prediction.

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