Viscous fingering: a systematic study of viscosity effects in methanol-isopropanol systems

Cherrak, Djamel E; Guernet, E.; Cardot, Philippe; Herrenknecht, Christine; Czok, M.

doi:10.1007/bf02490526

Cited by 32 publications

(18 citation statements)

References 14 publications

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“…This fingering is detrimental to the separation technique as it contributes to peak broadening and distortions. Such conclusions have been reported by several authors either experimentally [7][8][9][10][11][12] or numerically. [12][13][14] Viscous fingering is also of much concern in the dispersion of finite polluted viscous zones inside aquifers.…”

Section: Introductionsupporting

confidence: 76%

Miscible viscous fingering with linear adsorption on the porous matrix

2007

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Viscous fingering between miscible fluids of different viscosities can affect the dispersion of finite samples in porous media. In some applications, as typically in chromatographic separations or pollutant dispersion in underground aquifers, adsorption onto the porous matrix of solutes ͑the concentration of which rules the viscosity of the solution͒ can affect the fingering dynamics. Here, we investigate theoretically the influence of such an adsorption on the stability and nonlinear properties of viscous samples displaced in a two-dimensional system by a less viscous and miscible carrying fluid. The model is based on Darcy's law for the evolution of the fluid velocity coupled to a diffusion-convection equation for the concentration of a solute in the mobile phase inside the porous medium. The adsorption-desorption dynamics of the solute onto the stationary phase is assumed to be at equilibrium, to follow a linear isotherm and is characterized by a retention parameter Ј equal to the adsorption-desorption equilibrium constant K multiplied by the phase ratio F. In practice, retention on the porous matrix renormalizes the log-mobility ratio by a factor ͑1+Ј͒. Correspondingly, a linear stability analysis and nonlinear simulations of the model show that an increase of Ј leads to a stabilization of viscous fingering with fingers appearing on a dimensional time scale multiplied by ͑1+Ј͒ 3 and with a dimensional wavelength multiplied by ͑1+Ј͒.

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Section: Introductionsupporting

confidence: 76%

Miscible viscous fingering with linear adsorption on the porous matrix

2007

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“…As chromatographic columns are generally opaque porous media, it is therefore not astonishing that the presence of viscous fingering has long been totally ignored until recent experimental works which have visualized fingering by magnetic resonance or optical imaging. [2][3][4][5][6][7][8] Similarly, tracing of the spatial extent of a contaminant plume at a distance far from the pollution site may lead to measurements of Gaussian-type spreading even if fingering has occurred at early times. The only influence of such fingering appears in the larger variance of the sample than in the case of pure dispersion as we show it next.…”

Section: Fingering Of a Finite Width Samplementioning

confidence: 99%

Viscous fingering of miscible slices

Wit

Bertho

Martin³

2005

Physics of Fluids

108

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Viscous fingering of a miscible high viscosity slice of fluid displaced by a lower viscosity fluid is studied in porous media by direct numerical simulations of Darcy's law coupled to the evolution equation for the concentration of a solute controlling the viscosity of miscible solutions. In contrast with fingering between two semi-infinite regions, fingering of finite slices is a transient phenomenon due to the decrease in time of the viscosity ratio across the interface induced by fingering and dispersion processes. We show that fingering contributes transiently to the broadening of the peak in time by increasing its variance. A quantitative analysis of the asymptotic contribution of fingering to this variance is conducted as a function of the four relevant parameters of the problem, i.e., the log-mobility ratio R, the length of the slice l, the Péclet number Pe, and the ratio between transverse and axial dispersion coefficients . Relevance of the results is discussed in relation with transport of viscous samples in chromatographic columns and propagation of contaminants in porous media.

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“…Although the potentially harmful character of the viscous fingering effect in chromatography was recognized in the early literature on size exclusion chromatography in which highly viscous polymeric samples are injected (see Introduction of Ref. [15] for a historical review of this recognition), it is more recently, in the two last decades, that this effect was considered for analytical chromatographic separations of relatively small molecular components [15][16][17][18][19][20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Influence of a strong sample solvent on analyte dispersion in chromatographic columns

Mishra

Rana

Wit

et al. 2013

Journal of Chromatography A

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a b s t r a c tIn chromatographic columns, when the eluting strength of the sample solvent is larger than that of the carrier liquid, a deformation of the analyte zone occurs because its frontal part moves at a relatively high velocity due to a low retention factor in the sample solvent while the rear part of the analyte zone is more retained in the carrier liquid and hence moves at a lower velocity. The influence of this solvent strength effect on the separation of analytes is studied here theoretically using a mass balance model describing the spatio-temporal evolution of the eluent, the sample solvent and the analyte. The viscosity of the sample solvent and carrier fluid is supposed to be the same (i.e. no viscous fingering effects are taken into account). A linear isotherm adsorption with a retention factor depending upon the local concentration of the liquid phase is considered. The governing equations are numerically solved by using a Fourier spectral method and parametric studies are performed to analyze the effect of various governing parameters on the dispersion and skewness of the analyte zone. The distortion of this zone is found to depend strongly on the difference in eluting strength between the mobile phase and the sample solvent as well as on the sample volume.

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Viscous fingering: a systematic study of viscosity effects in methanol-isopropanol systems

Cited by 32 publications

References 14 publications

Miscible viscous fingering with linear adsorption on the porous matrix

Miscible viscous fingering with linear adsorption on the porous matrix

Viscous fingering of miscible slices

Influence of a strong sample solvent on analyte dispersion in chromatographic columns

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