Creeping Flow of Viscoelastic Fluid through a Packed Bed

Sobti, Amit; Wanchoo, R. K.

doi:10.1021/ie502321a

Cited by 11 publications

(3 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The method of preparing the test fluids has been described in detail elsewhere 32 . The density of each test fluid was measured using specific gravity bottle, which was initially calibrated using mercury as a standard fluid.…”

Section: Characterization Of Test Fluidsmentioning

confidence: 99%

Flow of Viscoelastic Fluid through a Helical Coil

Sobti¹

2017

Chem.Biochem.Eng.Q.

View full text Add to dashboard Cite

The study aims at quantifying the effect of fluid elasticity on frictional pressure drop for the flow of viscoelastic fluid through a helical coil. Aqueous solutions of polyacrylamide (PAA) in the concentration range 0.25 %-0.5 % (wt/vol.) were used as test fluids. The fluids were characterized using dynamic rheometer under rotational and oscillatory modes. The rheological study depicts that the fluids exhibit elasticity and shear thinning behavior. Experimental data on pressure drop for the flow of non-Newtonian viscoelastic fluid through a helical coil have been generated. Drag enhancement was observed for the fluids with significant elastic character. An existing correlation applicable over a wide range of Germano number (N Gn ) for the flow of Newtonian fluids through helical coils (11.7≤D c /d t ≤105.48, 8.3≤p/D t ≤66.7), proposed by Gupta et al. 22, has been extended to non-Newtonian viscoelastic fluids by incorporating the effect of fluid elasticity in terms of Weissenberg number (We). The proposed model's uncertainty has been reported for 95 % confidence to assess the significance of newly reported results. The observed data were compared with the available models in the literature statistically using mean relative quadratic error (MRQE) and arithmetic relative error (%ARE). Lower values of MRQE and %ARE depict the acceptability of the proposed model.

show abstract

Section: Characterization Of Test Fluidsmentioning

confidence: 99%

Flow of Viscoelastic Fluid through a Helical Coil

Sobti¹

2017

Chem.Biochem.Eng.Q.

View full text Add to dashboard Cite

show abstract

“…In addition to relaxation and normal-stress difference effects, elasticity of polymer solutions exhibits itself by their huge resistance to elongational deformations, as reflected in their large extensional viscosity . Since flow through porous materials such as sandstone involves elongational deformations (due to the converging/diverging nature of the pores), the resistance to elongational deformations exhibits itself as an extra pressure drop in pressure-driven, single-phase Darcy flow. − It is speculated that qualitatively a similar effect might be witnessed in imbibition flows of polymer solutions in porous materials, but there is currently no imbibition model for viscoelastic fluids to corroborate this speculation.…”

Section: Introductionmentioning

confidence: 99%

Viscoelastic Effects on Spontaneous Imbibition in Unsaturated Porous Membranes of Complex Shapes

Gharagozlou,

Pourjafar-Chelikdani,

Jafari

et al. 2024

Langmuir

View full text Add to dashboard Cite

Richards equation is a robust mathematical model for predicting spontaneous imbibition in unsaturated porous materials, whether granular or fibrous. The main restriction of this imbibition model is that it is valid only for Newtonian fluids. In the present work, we extend the classic Richards equation to viscoelastic fluids using a modified version of the single-phase Darcy's law reported in the literature for several polymer solutions. In two-dimensional flows, the viscoelastic Richards model obtained this way turns out to be in the form of a system of three highly nonlinear coupled partial differential equations for the moisture content and the velocity field. The model is numerically validated against published experimental data for a shear-thinning polymer solution imbibed in a tight sandstone core sample extracted from a typical oil reservoir. The viscoelastic Richards model is then used to investigate the effect of a fluid's elasticity on the quasi-stationary regime in a two-dimensional porous membrane of complex shape typically used in diagnostic kits. The obtained numerical results suggest that elasticity has a retarding effect on spontaneous imbibition in capillary-driven, paper-based kits. Based on this new imbibition model, it is predicted that viscoelasticity of the displacing liquid can extend the duration of the quasi-stationary regime on the test line of diagnostic kits. The conclusion is that, for extending the quasi-steady regime in capillary-driven kits, it might prove useful to enhance the degree of elasticity of the test fluids using appropriate rheology modifiers.

show abstract

“…This, in turn, substantially regulates the macroscopic behaviour like the pressure drop of a complex fluid during its flow through a porous media 20 . In most of the investigations dealing with either micellar or polymer solutions, it has been found that after a critical value of the flow rate, the pressure drop across a porous media abruptly increased with the flow rate, and a highly non-linear trend between them was observed [21][22][23][24][25] .…”

Section: Introductionmentioning

confidence: 99%

Flow dynamics of wormlike micellar solutions through a model porous media

Khan¹,

Sasmal²

2021

Preprint

View full text Add to dashboard Cite

The flow of viscoelastic wormlike micellar solutions (WLMs) in porous media is encountered in many practical applications like enhanced oil recovery or groundwater remediation. To understand the flow dynamics of these complex fluids in porous media, a model porous media consisting of a straight microchannel with micropore throats present in it, is very often used. In this study, we perform an extensive numerical investigation to understand the flow dynamics of wormlike micellar solutions based on the two-species Vasquez-Cook-McKinley (VCM) model for micelles through such model porous media. We find the existence of an elastic instability once the Weissenberg number exceeds a critical value; likewise, it was seen in many prior experimental and numerical studies dealing with polymer solutions. However, for the present case of a WLM solution, we observe that this elastic instability is greatly influenced by the breakage and reformation mechanisms of the wormlike micelles. In particular, we notice that the intensity of this instability (characterized by the fluctuating flow fields) increases as the Weissenberg number increases; however, beyond a critical value of it, this elastic instability and/or the flow field fluctuation is suppressed because of the breakage of long micelles. This is in contrast to the polymer solutions for which the flow field gradually transits to a more chaotic and turbulent-like state (or the so-called elastic turbulence state) as the Weissenberg number gradually increases. Additionally, we observe that the flow dynamics of these WLM solutions are strongly dependent on the type of micropore throat, the number of pore throats, and the spacing between two consecutive pore throats. An extensive discussion on the pressure drop and apparent viscosity is also presented in the present study. Although this study is carried out for a model porous media; however, we hope it will facilitate a better understanding of the flow behaviour of wormlike micellar solutions in an actual more complex porous media.

show abstract

Creeping Flow of Viscoelastic Fluid through a Packed Bed

Cited by 11 publications

References 48 publications

Flow of Viscoelastic Fluid through a Helical Coil

Flow of Viscoelastic Fluid through a Helical Coil

Viscoelastic Effects on Spontaneous Imbibition in Unsaturated Porous Membranes of Complex Shapes

Flow dynamics of wormlike micellar solutions through a model porous media

Contact Info

Product

Resources

About