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Simulation of viscous fingering due to saffman-taylor instability in hele-shaw cell

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Main Authors: Karimi, F., Maleki Jirsaraei N., Azizi, S.
Other Authors: maleki@alzahra.ac.ir
Format: Article
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2019
Subjects:
Saffman-Taylor instability
Viscous fingering
Yield stress
Shear-Thinning
Darcy’s equation
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/61125
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spelling my.unimap-611252019-08-01T08:41:32Z Simulation of viscous fingering due to saffman-taylor instability in hele-shaw cell Karimi, F. Maleki Jirsaraei N. Azizi, S. maleki@alzahra.ac.ir Saffman-Taylor instability Viscous fingering Yield stress Shear-Thinning Darcy’s equation Link to publisher's homepage at http://ijneam.unimap.edu.my We simulated the growth of the viscous fingers in a Hele-Shaw cell, a Laplacian growth, by a numerical solution. We solved a Laplace equation numerically with boundary conditions that indicated a pressure jumping due to the surface tension in the interface of the two fluids. By using Darcy’s law, we gained the time evolution of the interface and then visualized it in MATLAB. Subsequently, we examined the effects of several parameters in forming the fingers in rectangular cells and compared the results with the theoretical predictions which had a desirable agreement with our experimental findings. Our findings indicated that wave-lengths scale well with the control parameter in all conditions. Furthermore, we estimated the time evolution of the interface for Newtonian and non-Newtonian fluids in a circular cell, for Newtonian fluid, in agreement with experimental finding and theoretical prediction for dominant pattern was tip splitting. For non-Newtonian fluids from Shear-Thinning kind, we used two generalized Darcy’s equation, we found that in both cases the tip dose not split but it will be sharped, finally we found that the two different model suggested for generalized Darcy’s low (Bonn’s model and Kondic’s model) are in good agreement with each other and also with the experimental findin 2019-08-01T08:41:32Z 2019-08-01T08:41:32Z 2019-07 Article International Journal of Nanoelectronics and Materials, vol.12(3), 2019, pages 309-318 1985-5761 (Printed) 1997-4434 (Online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/61125 en Universiti Malaysia Perlis (UniMAP)
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Saffman-Taylor instability
Viscous fingering
Yield stress
Shear-Thinning
Darcy’s equation
spellingShingle Saffman-Taylor instability
Viscous fingering
Yield stress
Shear-Thinning
Darcy’s equation
Karimi, F.
Maleki Jirsaraei N.
Azizi, S.
Simulation of viscous fingering due to saffman-taylor instability in hele-shaw cell
description Link to publisher's homepage at http://ijneam.unimap.edu.my
author2 maleki@alzahra.ac.ir
author_facet maleki@alzahra.ac.ir
Karimi, F.
Maleki Jirsaraei N.
Azizi, S.
format Article
author Karimi, F.
Maleki Jirsaraei N.
Azizi, S.
author_sort Karimi, F.
title Simulation of viscous fingering due to saffman-taylor instability in hele-shaw cell
title_short Simulation of viscous fingering due to saffman-taylor instability in hele-shaw cell
title_full Simulation of viscous fingering due to saffman-taylor instability in hele-shaw cell
title_fullStr Simulation of viscous fingering due to saffman-taylor instability in hele-shaw cell
title_full_unstemmed Simulation of viscous fingering due to saffman-taylor instability in hele-shaw cell
title_sort simulation of viscous fingering due to saffman-taylor instability in hele-shaw cell
publisher Universiti Malaysia Perlis (UniMAP)
publishDate 2019
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/61125
_version_ 1643806585359695872
score 13.222552

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