scholarly journals Shape of spreading and leveling gravity currents in a Hele-Shaw cell with flow-wise width variation

2021 ◽  
Vol 6 (9) ◽  
Author(s):  
Zhong Zheng ◽  
Aditya A. Ghodgaonkar ◽  
Ivan C. Christov
Keyword(s):  
Gravity Currents ◽  
Hele Shaw Cell

Draining viscous gravity currents in a vertical fracture

2002 ◽  
Vol 459 ◽  
pp. 207-216 ◽  
Author(s):  
DAVID PRITCHARD ◽  
ANDREW J. HOGG
Keyword(s):  
Analytical Solution ◽  
Viscous Fluid ◽  
Finite Volume ◽  
Exact Analytical Solution ◽  
Gravity Currents ◽  
Horizontal Surface ◽  
Vertical Crack ◽  
Vertical Fracture ◽  
Hele Shaw Cell

We consider the flow of instantaneous releases of a finite volume of viscous fluid in a narrow vertical fracture or Hele-Shaw cell, when there is a still narrower vertical crack in the horizontal base of the cell. The predominant motion is over the horizontal surface, but fluid also drains through the crack, progressively diminishing the volume of the current in the fracture. When the crack is shallow on the scale of the current, it saturates immediately with the draining fluid. In this case, we obtain an exact analytical solution for the motion. When the crack is deeper and does not saturate immediately, we calculate numerically the motion of the fluid in both the fracture and the crack. In each case the current advances to a finite run-out length and then retreats: we describe both phases of the motion and characterize the run-out length in terms of the controlling parameters.

A flow-front instability in viscous gravity currents

1998 ◽  
Vol 369 ◽  
pp. 1-21 ◽  
Author(s):  
DON SNYDER ◽  
STEPHEN TAIT
Keyword(s):  
Gravitational Instability ◽  
Gravity Current ◽  
High Viscosity ◽  
Gravity Currents ◽  
Ambient Fluid ◽  
Cell Width ◽  
Dense Fluid ◽  
Unstable Layer ◽  
Gravitational Mechanism ◽  
Hele Shaw Cell

We describe an instability that appears at the front of laminar gravity currents as they intrude into a viscous, miscible ambient fluid. The instability causes a current to segment into fingers aligned with its direction of flow. In the case of currents flowing along a rigid floor into a less dense fluid, the case of primary interest here, two mechanisms can produce this instability. The first is gravitational and arises because the nose of the gravity current is elevated above the floor and overrides a buoyantly unstable layer of ambient liquid. The second is a form of viscous fingering analogous to a Saffman–Taylor instability in a Hele-Shaw cell. Whereas the ambient fluid must be more viscous than the current in order for the latter instability to occur, the gravitational instability can occur even if the ambient fluid is less viscous, as long as it is viscous enough to elevate the nose of the current and trap a layer of ambient fluid. For the gravitational mechanism, which is most important when the current and ambient fluids have comparable viscosities, the wavelength when the instability first appears is proportional to a length scale constructed with the viscosity, the flux and the buoyancy. The Saffman–Taylor-type mechanism is most important when the ambient liquid is much more viscous than the current. We have carried out experiments with miscible fluids in a Hele-Shaw cell that show that, at the onset of instability, the ratio of the finger wavelength to the cell width is a constant approximately equal to 2. This result is explained by using the principle that the flow tends to minimize the dissipation associated with the finger perturbation. For the gravity currents with high viscosity ratios, the ratio of the wavelength to the current thickness is also a constant of about 2, apparently consistent with the same mechanism. But, further analysis of this instability mechanism is required in order to assess its role in wavelength selection for gravity currents.

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

scholarly journals Experimental study of liquid-liquid interface oscillating in radial hele-shaw cell

2021 ◽  
Vol 1809 (1) ◽  
pp. 012020
Author(s):  
Ivan E Karpunin ◽  
Nikolai V Kozlov ◽  
Viktor G Kozlov
Keyword(s):  
Experimental Study ◽  
Liquid Interface ◽  
Hele Shaw Cell

Secondary generation of breaking internal waves in confined basins by gravity currents

2021 ◽  
Vol 917 ◽  
Author(s):  
Yukinobu Tanimoto ◽  
Nicholas T. Ouellette ◽  
Jeffrey R. Koseff
Keyword(s):  
Internal Waves ◽  
Gravity Currents

Abstract

scholarly journals Use of Concentric Hele-Shaw Cell for the Study of Displacement Flow and Interface Tracking in Primary Cementing

Energies ◽  
2020 ◽  
Vol 14 (1) ◽  
pp. 51
Author(s):  
Amir Taheri ◽  
Jan David Ytrehus ◽  
Bjørnar Lund ◽  
Malin Torsæter
Keyword(s):  
Yield Stress ◽  
Drilling Fluid ◽  
Co2 Storage ◽  
Main Idea ◽  
Real Field ◽  
Interface Tracking ◽  
Pressure Gradients ◽  
Cell Geometry ◽  
Primary Cementing ◽  
Hele Shaw Cell

We present our new designed concentric Hele-Shaw cell geometry with dynamic similarity to a real field wellbore annulus during primary cementing, and then, the results of displacement flow of Newtonian and yield-stress non-Newtonian fluids in it are described. The displacement stability and efficiency, the effect of back, front, and side boundaries on displacement, bypassing pockets of displaced yield-stress fluid in displacing fluid, and the behavior of pressure gradients in the cell are investigated. Applications of intermediate buoyant particles with different sizes and densities intermediate between those of successively pumped fluids for tracking the interface between the two displaced and displacing fluids are examined. The main idea is to upgrade this concentric Hele-Shaw cell geometry later to an eccentric one and check the possibility of tracking the interface between successive fluids pumped in the cell. Successful results help us track the interface between drilling fluid and spacer/cement during primary cementing in wells penetrating a CO2 storage reservoir and decreasing the risk of CO2 leakage from them.

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