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Viscosity-stratified flow in a Hele–Shaw cell. / Chesnokov, Alexander; Liapidevskii, Valery.

In: International Journal of Non-Linear Mechanics, Vol. 89, 01.03.2017, p. 168-176.

Research output: Contribution to journal › Article › peer-review

Harvard

Chesnokov, A & Liapidevskii, V 2017, 'Viscosity-stratified flow in a Hele–Shaw cell', International Journal of Non-Linear Mechanics, vol. 89, pp. 168-176. https://doi.org/10.1016/j.ijnonlinmec.2016.12.016

APA

Chesnokov, A., & Liapidevskii, V. (2017). Viscosity-stratified flow in a Hele–Shaw cell. International Journal of Non-Linear Mechanics, 89, 168-176. https://doi.org/10.1016/j.ijnonlinmec.2016.12.016

Vancouver

Chesnokov A, Liapidevskii V. Viscosity-stratified flow in a Hele–Shaw cell. International Journal of Non-Linear Mechanics. 2017 Mar 1;89:168-176. doi: 10.1016/j.ijnonlinmec.2016.12.016

Author

Chesnokov, Alexander ; Liapidevskii, Valery. / Viscosity-stratified flow in a Hele–Shaw cell. In: International Journal of Non-Linear Mechanics. 2017 ; Vol. 89. pp. 168-176.

BibTeX

@article{944a0f97ec8d43258243613654e5454f,
title = "Viscosity-stratified flow in a Hele–Shaw cell",
abstract = "A hierarchy of mathematical models describing viscosity-stratified flow in a Hele-Shaw cell is constructed. Numerical modelling of jet flow and development of viscous fingers with the influence of inertia and friction is carried out. One-dimensional multi-layer flows are studied. In the framework of three-layer flow the interpretation of the Saffman–Taylor instability is given. A kinematic-wave model of viscous fingering taking into account friction between the fluid layers is proposed. Comparison with calculations on the basis of two-dimensional equations shows that this model allows to determine the propagation velocity of the viscous fingers.",
keywords = "Fingering instability, Hele-Shaw flow, Kinematic-wave model",
author = "Alexander Chesnokov and Valery Liapidevskii",
year = "2017",
month = mar,
day = "1",
doi = "10.1016/j.ijnonlinmec.2016.12.016",
language = "English",
volume = "89",
pages = "168--176",
journal = "International Journal of Non-Linear Mechanics",
issn = "0020-7462",
publisher = "Elsevier Ltd",

}

RIS

TY - JOUR

T1 - Viscosity-stratified flow in a Hele–Shaw cell

AU - Chesnokov, Alexander

AU - Liapidevskii, Valery

PY - 2017/3/1

Y1 - 2017/3/1

N2 - A hierarchy of mathematical models describing viscosity-stratified flow in a Hele-Shaw cell is constructed. Numerical modelling of jet flow and development of viscous fingers with the influence of inertia and friction is carried out. One-dimensional multi-layer flows are studied. In the framework of three-layer flow the interpretation of the Saffman–Taylor instability is given. A kinematic-wave model of viscous fingering taking into account friction between the fluid layers is proposed. Comparison with calculations on the basis of two-dimensional equations shows that this model allows to determine the propagation velocity of the viscous fingers.

AB - A hierarchy of mathematical models describing viscosity-stratified flow in a Hele-Shaw cell is constructed. Numerical modelling of jet flow and development of viscous fingers with the influence of inertia and friction is carried out. One-dimensional multi-layer flows are studied. In the framework of three-layer flow the interpretation of the Saffman–Taylor instability is given. A kinematic-wave model of viscous fingering taking into account friction between the fluid layers is proposed. Comparison with calculations on the basis of two-dimensional equations shows that this model allows to determine the propagation velocity of the viscous fingers.

KW - Fingering instability

KW - Hele-Shaw flow

KW - Kinematic-wave model

UR - http://www.scopus.com/inward/record.url?scp=85007552194&partnerID=8YFLogxK

U2 - 10.1016/j.ijnonlinmec.2016.12.016

DO - 10.1016/j.ijnonlinmec.2016.12.016

M3 - Article

AN - SCOPUS:85007552194

VL - 89

SP - 168

EP - 176

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

ER -

ID: 9050312