Viscous Fingering of Miscible Liquids in Porous and Swellable Media for Rapid Diagnostic Tests

Clingan, Holly; Rusk, D.; Smith, Kendra L.; García, Antonio

doi:10.3390/bioengineering5040094

Cited by 2 publications

(2 citation statements)

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“…Hence, VF induced by chemical reaction can be utilised for increasing mixing in a variety of fields ranging from macro-scale in chemical, pharmaceutical and food processing industry (Jha, Cueto-Felgueroso & Juanes 2011a) to micro-scale in microfluidic devices (Jha, Cueto-Felgueroso & Juanes 2011b, 2013. Further, VF has applications in the point-of-care devices (Clingan et al 2018) and provides a mean to test urea using saliva (Cardoso et al 2009). The pattern formation is useful for various medical diagnosis kits (Sett et al 2018), in biomedical applications and tissue spreading (Bogdan & Savin 2018).…”

Section: Introductionmentioning

confidence: 99%

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Radial viscous fingering induced by an infinitely fast chemical reaction

2022

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A numerical insight into the radial displacement of two viscously stable reactants undergoing an infinitely fast chemical reaction is obtained. This work broadens the numerical knowledge about the interaction between chemical reaction and hydrodynamic instability. A suitable transformation is utilised to deal with an infinite dimensionless parameter and reduce computational cost. Viscous fingering instability originates when the product has a different viscosity than the reactants. We calculate the onset time $t_{on}$ when the instability begins to appear for different reactants by varying the log mobility ratio $R_c$ and the Péclet number $Pe$ . Based on $t_{on}$ , we divide the time domain into stable and unstable zones with respect to instability. This helps to characterise reactants so as to have a flow with/without instability. For a fixed $Pe$ and $\vert R_c \vert$ , it is found that $t_{on}$ is early for $R_c > 0$ in contrast to the result for rectilinear displacement. This results in a wider stable zone for $R_c < 0$ . Interestingly, it is found that the stable zone can be made independent of $Pe$ by using a careful rescaling and we obtain the dependence of the onset time of instability on $R_c$ and $Pe$ as $t_{on} \propto (\vert R_c\vert Pe^{\beta _1}-\beta _2)^{\beta _3}$ where the constant of proportionality and $\beta _i$ , $i=1,2,3$ , depend upon the sign of $R_c$ . In the unstable zone, we find that the length of the fingers depends upon the sign of $R_c$ , which is not observed for any radial displacement of reactants undergoing a slow or moderately fast chemical reaction.

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Section: Introductionmentioning

confidence: 99%

“…Further, VF has applications in the point-of-care devices (Clingan et al. 2018) and provides a mean to test urea using saliva (Cardoso et al. 2009).…”

Section: Introductionmentioning

confidence: 99%