Research output: Contribution to journal › Article › peer-review
One-dimensional model of two-phase fluid displacement in a slot with permeable walls. / Golovin, S. V.; Kazakova, M. Yu.
In: Journal of Applied Mechanics and Technical Physics, Vol. 58, No. 1, 01.01.2017, p. 17-30.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - One-dimensional model of two-phase fluid displacement in a slot with permeable walls
AU - Golovin, S. V.
AU - Kazakova, M. Yu
PY - 2017/1/1
Y1 - 2017/1/1
N2 - A one-dimensional model is proposed for transportation of a two-phase fluid (sandcontaining fluid and pure fluid) in the Hele-Shaw cell with permeable walls through which the pure fluid can leak off, causing the growth of the sand concentration. The model describes the process of pure fluid displacement with the emergence of the Saffman–Taylor instability and extends Koval’s model to the case of sand concentration variation owing to pure fluid outflow through the cell walls. The Riemann problem is analyzed. New flow configurations, which are not predicted by Koval’s model, are discovered.
AB - A one-dimensional model is proposed for transportation of a two-phase fluid (sandcontaining fluid and pure fluid) in the Hele-Shaw cell with permeable walls through which the pure fluid can leak off, causing the growth of the sand concentration. The model describes the process of pure fluid displacement with the emergence of the Saffman–Taylor instability and extends Koval’s model to the case of sand concentration variation owing to pure fluid outflow through the cell walls. The Riemann problem is analyzed. New flow configurations, which are not predicted by Koval’s model, are discovered.
KW - admixture transportation
KW - Hele-Shaw cell with permeable walls
KW - Saffman–Taylor instability
KW - two-phase fluid
UR - http://www.scopus.com/inward/record.url?scp=85015697986&partnerID=8YFLogxK
U2 - 10.1134/S0021894417010023
DO - 10.1134/S0021894417010023
M3 - Article
AN - SCOPUS:85015697986
VL - 58
SP - 17
EP - 30
JO - Journal of Applied Mechanics and Technical Physics
JF - Journal of Applied Mechanics and Technical Physics
SN - 0021-8944
IS - 1
ER -
ID: 10274213