Fingering with miscible fluids in a Hele Shaw cell

1985 ◽  
Vol 28 (1) ◽  
pp. 26-30 ◽  
Author(s):  
Lincoln Paterson
Keyword(s):  
Miscible Fluids ◽  
Hele Shaw Cell

Magnetic instability between miscible fluids in a Hele--Shaw cell

2008 ◽  
Vol 44 (2) ◽  
pp. 135-142 ◽  
Author(s):  
C. Derec ◽  
P. Boltenhagen ◽  
S. Neveu ◽  
J.-C. Bacri
Keyword(s):  
Miscible Fluids ◽  
Magnetic Instability ◽  
Hele Shaw Cell

Density-driven unstable flows of miscible fluids in a Hele-Shaw cell

2002 ◽  
Vol 451 ◽  
pp. 239-260 ◽  
Author(s):  
J. FERNANDEZ ◽  
P. KUROWSKI ◽  
P. PETITJEANS ◽  
E. MEIBURG
Keyword(s):  
Stokes Equations ◽  
Three Dimensional ◽  
Brinkman Equation ◽  
Length Scale ◽  
Dominant Wavelength ◽  
Miscible Fluids ◽  
Nonlinear Simulations ◽  
Instability Growth ◽  
Gap Width ◽  
Hele Shaw Cell

Density-driven instabilities between miscible fluids in a vertical Hele-Shaw cell are investigated by means of experimental measurements, as well as two- and three-dimensional numerical simulations. The experiments focus on the early stages of the instability growth, and they provide detailed information regarding the growth rates and most amplified wavenumbers as a function of the governing Rayleigh number Ra. They identify two clearly distinct parameter regimes: a low-Ra, ‘Hele-Shaw’ regime in which the dominant wavelength scales as Ra−1, and a high-Ra ‘gap’ regime in which the length scale of the instability is 5±1 times the gap width. The experiments are compared to a recent linear stability analysis based on the Brinkman equation. The analytical dispersion relationship for a step-like density profile reproduces the experimentally observed trend across the entire Ra range. Nonlinear simulations based on the two- and three-dimensional Stokes equations indicate that the high-Ra regime is characterized by an instability across the gap, wheras in the low-Ra regime a spanwise Hele-Shaw mode dominates.

Gravitational instability of miscible fluids in a Hele-Shaw cell and chemical reaction

2001 ◽  
Vol 11 (PR6) ◽  
pp. Pr6-99-Pr6-106
Author(s):  
J. Martin ◽  
N. Rakotomalala ◽  
D. Salin ◽  
M. Böckmann ◽  
S. Müller
Keyword(s):  
Chemical Reaction ◽  
Gravitational Instability ◽  
Miscible Fluids ◽  
Hele Shaw Cell

Gravitational instability of miscible fluids in a Hele-Shaw cell

2002 ◽  
Vol 14 (2) ◽  
pp. 902-905 ◽  
Author(s):  
J. Martin ◽  
N. Rakotomalala ◽  
D. Salin
Keyword(s):  
Gravitational Instability ◽  
Miscible Fluids ◽  
Hele Shaw Cell
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