Effect of sinusoidal injection velocity on miscible viscous fingering of a finite sample: Nonlinear simulation
The effect of a sinusoidal injection on the fingering instability in a miscible displacement in the application of liquid chromatography, pollutant contamination in aquifers, etc., is investigated. The injection velocity, U(t) is characterized by its amplitude of Γ and time-period of T. The solute t...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-03-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023016870 |
| _version_ | 1797851817432842240 |
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| author | Syed Zahid Surfarazhussain S. Halkarni Tapan Kumar Hota |
| author_facet | Syed Zahid Surfarazhussain S. Halkarni Tapan Kumar Hota |
| author_sort | Syed Zahid |
| collection | DOAJ |
| description | The effect of a sinusoidal injection on the fingering instability in a miscible displacement in the application of liquid chromatography, pollutant contamination in aquifers, etc., is investigated. The injection velocity, U(t) is characterized by its amplitude of Γ and time-period of T. The solute transport, flow in porous media, and mass conservation in a two-dimensional porous media is modeled by the convection-diffusion equation, Darcy's equation, and the continuity equation, respectively. The numerical simulation is performed in COMSOL Multiphysics utilizing a finite-element based approach. The fingering dynamics for various time-period have been studied for two scenarios namely, injection-extraction (Γ>1) and extraction-injection (Γ<−1). The onset of fingers and vigorous mixing is observed for Γ>1, whereas for Γ<−1, the onset gets delayed. The viscosity contrast between the sample and the surrounding fluid is characterized by the log-mobility ratio R. When R>0 the rare interface becomes unstable, while for R<0 the frontal interface deformed. In the case of R<0, the extraction-injection process attenuates the fingering dynamics, which is beneficial in chromatographic separations or pollutant dispersion in underground aquifers. The injection-extraction process is observed to have a longer mixing length, indicating early interaction between both interfaces. The degree of mixing χ(t) is more pronounced for injection-extraction scenario and least for extraction-injection R<0,Γ=−2. The average convective forces are more dominant for Γ>1,R=2 till the deformed rare interface interact with diffusive frontal interface. The average diffusive forces are significant for Γ<−1,R=−2 which can be helpful in separation of chemicals in chromatography. This study therefore provided new insights into the role of alternate injection-extraction injections in altering the fingering dynamics of the miscible sample. |
| first_indexed | 2024-04-09T19:22:52Z |
| format | Article |
| id | doaj.art-eeb1f433dbf94f50925a1cc2f7da2669 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-04-09T19:22:52Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-eeb1f433dbf94f50925a1cc2f7da26692023-04-05T08:25:48ZengElsevierHeliyon2405-84402023-03-0193e14480Effect of sinusoidal injection velocity on miscible viscous fingering of a finite sample: Nonlinear simulationSyed Zahid0Surfarazhussain S. Halkarni1 Tapan Kumar Hota2Department of Mechanical Engineering SRM University-AP Andhra Pradesh 522 240, IndiaDepartment of Mechanical Engineering SRM University-AP Andhra Pradesh 522 240, IndiaDepartment of Mathematics SRM University-AP Andhra Pradesh 522 240, India; Corresponding author.The effect of a sinusoidal injection on the fingering instability in a miscible displacement in the application of liquid chromatography, pollutant contamination in aquifers, etc., is investigated. The injection velocity, U(t) is characterized by its amplitude of Γ and time-period of T. The solute transport, flow in porous media, and mass conservation in a two-dimensional porous media is modeled by the convection-diffusion equation, Darcy's equation, and the continuity equation, respectively. The numerical simulation is performed in COMSOL Multiphysics utilizing a finite-element based approach. The fingering dynamics for various time-period have been studied for two scenarios namely, injection-extraction (Γ>1) and extraction-injection (Γ<−1). The onset of fingers and vigorous mixing is observed for Γ>1, whereas for Γ<−1, the onset gets delayed. The viscosity contrast between the sample and the surrounding fluid is characterized by the log-mobility ratio R. When R>0 the rare interface becomes unstable, while for R<0 the frontal interface deformed. In the case of R<0, the extraction-injection process attenuates the fingering dynamics, which is beneficial in chromatographic separations or pollutant dispersion in underground aquifers. The injection-extraction process is observed to have a longer mixing length, indicating early interaction between both interfaces. The degree of mixing χ(t) is more pronounced for injection-extraction scenario and least for extraction-injection R<0,Γ=−2. The average convective forces are more dominant for Γ>1,R=2 till the deformed rare interface interact with diffusive frontal interface. The average diffusive forces are significant for Γ<−1,R=−2 which can be helpful in separation of chemicals in chromatography. This study therefore provided new insights into the role of alternate injection-extraction injections in altering the fingering dynamics of the miscible sample.http://www.sciencedirect.com/science/article/pii/S2405844023016870Viscous fingeringTime-dependent injectionPorous media |
| spellingShingle | Syed Zahid Surfarazhussain S. Halkarni Tapan Kumar Hota Effect of sinusoidal injection velocity on miscible viscous fingering of a finite sample: Nonlinear simulation Heliyon Viscous fingering Time-dependent injection Porous media |
| title | Effect of sinusoidal injection velocity on miscible viscous fingering of a finite sample: Nonlinear simulation |
| title_full | Effect of sinusoidal injection velocity on miscible viscous fingering of a finite sample: Nonlinear simulation |
| title_fullStr | Effect of sinusoidal injection velocity on miscible viscous fingering of a finite sample: Nonlinear simulation |
| title_full_unstemmed | Effect of sinusoidal injection velocity on miscible viscous fingering of a finite sample: Nonlinear simulation |
| title_short | Effect of sinusoidal injection velocity on miscible viscous fingering of a finite sample: Nonlinear simulation |
| title_sort | effect of sinusoidal injection velocity on miscible viscous fingering of a finite sample nonlinear simulation |
| topic | Viscous fingering Time-dependent injection Porous media |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023016870 |
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