Experimental and numerical study of the validity of Hele–Shaw cell as analogue model for variable-density flow in homogeneous porous media

Oltéan, Constantin; Golfier, Fabrice; Buès, Michel

doi:10.1016/j.advwatres.2007.06.007

Cited by 13 publications

(10 citation statements)

References 34 publications

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“…The strength of vortex also becomes weaker. All of these findings are in good agreement with the previous studies (Nithiarasu et al, 1997;Oltean et al, 2008;Yang and Hwang, 2009). …”

Section: Resultssupporting

confidence: 83%

“…The fundamental interest comes from the concern to understand the mass transfer mechanism (Pascal, 1988;Bekri andAdler, 2002, Chan et al, 2007) and fluid flow behavior through variable porosity of the media (Davis and Flame, 1996;Joseph et al, 2002). On the other hand, a similar interest was provoked by the wide range of engineering applications utilizing this type of phenomenon (Oltean et al, 2008;Yang and Hwang, 2009).…”

Section: Introductionmentioning

confidence: 99%

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Numerical Investigation of Incompressible Fluid Flow through Porous Media in a Lid-Driven Square Cavity

Irwan

Fudhail

Azwadi³

et al. 2010

American Journal of Applied Sciences

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Problem statement: Investigation of fluid flow behavior through porous media in a liddriven square cavity. Approach: The Brinkman-Forcheimer equation is coupled with the lattice Boltzmann formulation to predict the velocity field in the system. Three numerical experiments were preformed with different values of Darcy number to investigate the effect of porosity on the fluid flow.Results: In the current study, we found that the magnitude of velocity, strength of vortex and velocity boundary layer is significantly affected porosity of the media. Conclusion: The lattice Boltzmann simulation scheme is capable in prediction of fluid flow behavior through porous media.

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“…The strength of vortex also becomes weaker. All of these findings are in good agreement with the previous studies (Nithiarasu et al, 1997;Oltean et al, 2008;Yang and Hwang, 2009). …”

Section: Resultssupporting

confidence: 83%

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Incompressible Fluid Flow through Porous Media in a Lid-Driven Square Cavity

Irwan

Fudhail

Azwadi³

et al. 2010

American Journal of Applied Sciences

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“…Previous experimental results focusing on dispersion in a Hele-Shaw cell considered the case of a denser fluid sinking into another one in a vertical cell. 12,13 In this case, it has been shown that the variation of densities between the two fluids influences the dispersion process. To minimize buoyancy effects and concentrate on viscous fingering, we consider here the case of a horizontal cell.…”

Section: ‫ץ‬C ‫ץ‬Tmentioning

confidence: 99%

“…2,3,12 In this context, understanding the contributions of dispersion and of VF to the spreading characteristics is crucial for water resources management. 3,[12][13][14] Another application where understanding such spreading is important can be found in liquid chromatography, which consists of displacing samples through porous media in order to separate their chemical components. Dispersion of the sample in a chromatographic column influences the broadening of the concentration peaks and thus the efficiency of the separation.…”

Section: Introductionmentioning

confidence: 99%

“…[32][33][34][35][36][37][38][39] The main advantage of this setup is to allow simultaneous visualization and quantification of the concentration field evolution without disturbing the flow field. 12,13 The reason for considering the Hele-Shaw cell as a bidimensional porous medium 11 is the fact that the averaged flow speed across the cell thickness can be described by Darcy's law if the gap width is thin enough as compared to the characteristic length of the dynamics under investigation. More precisely, if Ū and L are typical velocity and length scales of the experiment, while b is the gap width and the kinematic viscosity, the typical viscous time scale b 2 / has to be much smaller than the convective time scale L / Ū for this approximation to hold.…”

Section: Introductionmentioning

confidence: 99%

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Experimental study of dispersion and miscible viscous fingering of initially circular samples in Hele-Shaw cells

et al. 2010

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Experimental studies are conducted to analyze dispersion and miscible viscous fingering of initially circular samples of a given solution displaced linearly at constant speed U by another solution in horizontal Hele-Shaw cells ͑two glass plates separated by a thin gap͒. In the stable case of a dyed water sample having the same viscosity as that of displacing nondyed water, we analyze the transition between dispersive and advective transport of the passive scalar displaced linearly. At low displacement speed and after a certain time, the length of the sample increases as a square root of time allowing to compute the value of a dispersion coefficient. At larger injection speed, the displacement remains advective for the duration of the experiment, with a length of the sample increasing linearly in time. A parametric study allows to gain insight into the switch from one regime to another as a function of the gap width of the cell. In the unstable case of viscous glycerol samples displaced by dyed water, the rear interface of the sample where less viscous water pushes more viscous glycerol is unstable with regard to viscous fingering. The interface deforms into fingers, the number and size of which depend on the viscosity ratio between the two solutions and on the displacement speed. We study the influence of these viscous fingering phenomena on the increased spreading of the sample for various mobility ratios and injection speeds.

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Concentration-based velocity reconstruction in convective Hele–Shaw flows

2020

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We examine the process of convective dissolution in a Hele–Shaw cell. We consider a one-sided configuration and we propose a newly developed method to reconstruct the velocity field from concentration measurements. The great advantage of this Concentration-based Velocity Reconstruction (CVR) method consists of providing both concentration and velocity fields with a single snapshot of the experiment recorded in high resolution. We benchmark our method vis–à–vis against numerical simulations in the instance of Darcy flows, and we also include dispersive effects to the reconstruction process of non-Darcy flows. The absence of laser sources and the presence of one low-speed camera make this method a safe, accurate, and cost-effective alternative to classical PIV/PTV velocimetry processes. Finally, as an example of possible application, we employ the CVR method to analyse the tip splitting phenomena. Graphic abstract

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Experimental and numerical study of the validity of Hele–Shaw cell as analogue model for variable-density flow in homogeneous porous media

Cited by 13 publications

References 34 publications

Numerical Investigation of Incompressible Fluid Flow through Porous Media in a Lid-Driven Square Cavity

Numerical Investigation of Incompressible Fluid Flow through Porous Media in a Lid-Driven Square Cavity

Experimental study of dispersion and miscible viscous fingering of initially circular samples in Hele-Shaw cells

Concentration-based velocity reconstruction in convective Hele–Shaw flows

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