Publication:
Simulation of viscous fingering due to Saffman-Taylor instability in Hele-Shaw cell

Simple item page
dc.contributor.author Karimi F
dc.contributor.author Maleki Jirsaraei N.
dc.contributor.author Azizi S
dc.date.accessioned 2026-02-06T01:34:03Z
dc.date.available 2026-02-06T01:34:03Z
dc.date.issued 2019-07
dc.description.abstract 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 findings.
dc.identifier.uri https://ijneam.unimap.edu.my/
dc.identifier.uri https://ijneam.unimap.edu.my/images/PDF/IJNEAM%20JULY%202019/Vol_12_No_3_2019_6_309-318.pdf
dc.identifier.uri https://hdl.handle.net/20.500.14170/16013
dc.language.iso en
dc.publisher Universiti Malaysia Perlis (UniMAP)
dc.relation.ispartof International Journal of Nanoelectronics and Materials (IJNeaM)
dc.relation.issn 1985-5761
dc.subject Saffman-Taylor instability
dc.subject Viscous fingering
dc.subject Yield stress
dc.subject Shear-thinning
dc.subject Darcy’s equation
dc.title Simulation of viscous fingering due to Saffman-Taylor instability in Hele-Shaw cell
dc.type Resource Types::text::journal::journal article
dspace.entity.type Publication
oaire.citation.endPage 318
oaire.citation.issue 3
oaire.citation.startPage 309
oaire.citation.volume 12
oairecerif.author.affiliation Al-Zahra University, Tehran, Iran
oairecerif.author.affiliation Al-Zahra University, Tehran, Iran
oairecerif.author.affiliation Al-Zahra University, Tehran, Iran
Files
Collections
International Journal of Nanoelectronics and Materials (IJNeaM)
Load more