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 -