Steric and Slippage Effects on Mass Transport by Using an Oscillatory Electroosmotic Flow of Power-Law Fluids
In this paper, the combined effect of the fluid rheology, finite-sized ions, and slippage toward augmenting a non-reacting solute’s mass transport due to an oscillatory electroosmotic flow (OEOF) is determined. Bikerman’s model is used to include the finite-sized ions (steric effects) in the origina...
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| Format: | Article |
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MDPI AG
2021-05-01
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| Series: | Micromachines |
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| Online Access: | https://www.mdpi.com/2072-666X/12/5/539 |
| _version_ | 1797534782079369216 |
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| author | Ruben Baños José Arcos Oscar Bautista Federico Méndez |
| author_facet | Ruben Baños José Arcos Oscar Bautista Federico Méndez |
| author_sort | Ruben Baños |
| collection | DOAJ |
| description | In this paper, the combined effect of the fluid rheology, finite-sized ions, and slippage toward augmenting a non-reacting solute’s mass transport due to an oscillatory electroosmotic flow (OEOF) is determined. Bikerman’s model is used to include the finite-sized ions (steric effects) in the original Poisson-Boltzmann (PB) equation. The volume fraction of ions quantifies the steric effects in the modified Poisson-Boltzmann (MPB) equation to predict the electrical potential and the ion concentration close to the charged microchannel walls. The hydrodynamics is affected by slippage, in which the slip length was used as an index for wall hydrophobicity. A conventional finite difference scheme was used to solve the momentum and species transport equations in the lubrication limit together with the MPB equation. The results suggest that the combined slippage and steric effects promote the best conditions to enhance the mass transport of species in about 90% compared with no steric effect with proper choices of the Debye length, Navier length, steric factor, Womersley number, and the tidal displacement. |
| first_indexed | 2024-03-10T11:35:22Z |
| format | Article |
| id | doaj.art-26bf8466466c42a4a70e36e89315aad0 |
| institution | Directory Open Access Journal |
| issn | 2072-666X |
| language | English |
| last_indexed | 2024-03-10T11:35:22Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Micromachines |
| spelling | doaj.art-26bf8466466c42a4a70e36e89315aad02023-11-21T18:56:14ZengMDPI AGMicromachines2072-666X2021-05-0112553910.3390/mi12050539Steric and Slippage Effects on Mass Transport by Using an Oscillatory Electroosmotic Flow of Power-Law FluidsRuben Baños0José Arcos1Oscar Bautista2Federico Méndez3Instituto Politécnico Nacional, ESIME Azcapotzalco, Av. de las Granjas No. 682, Col. Santa Catarina, Del. Azcapotzalco, Ciudad de México 02250, MexicoInstituto Politécnico Nacional, ESIME Azcapotzalco, Av. de las Granjas No. 682, Col. Santa Catarina, Del. Azcapotzalco, Ciudad de México 02250, MexicoInstituto Politécnico Nacional, ESIME Azcapotzalco, Av. de las Granjas No. 682, Col. Santa Catarina, Del. Azcapotzalco, Ciudad de México 02250, MexicoDepartamento de Termofluidos, Facultad de Ingeniería, UNAM, Ciudad de México 04510, MexicoIn this paper, the combined effect of the fluid rheology, finite-sized ions, and slippage toward augmenting a non-reacting solute’s mass transport due to an oscillatory electroosmotic flow (OEOF) is determined. Bikerman’s model is used to include the finite-sized ions (steric effects) in the original Poisson-Boltzmann (PB) equation. The volume fraction of ions quantifies the steric effects in the modified Poisson-Boltzmann (MPB) equation to predict the electrical potential and the ion concentration close to the charged microchannel walls. The hydrodynamics is affected by slippage, in which the slip length was used as an index for wall hydrophobicity. A conventional finite difference scheme was used to solve the momentum and species transport equations in the lubrication limit together with the MPB equation. The results suggest that the combined slippage and steric effects promote the best conditions to enhance the mass transport of species in about 90% compared with no steric effect with proper choices of the Debye length, Navier length, steric factor, Womersley number, and the tidal displacement.https://www.mdpi.com/2072-666X/12/5/539steric effectpower-law fluidsboundary sliposcillatory electroosmotic flowmass transport rate |
| spellingShingle | Ruben Baños José Arcos Oscar Bautista Federico Méndez Steric and Slippage Effects on Mass Transport by Using an Oscillatory Electroosmotic Flow of Power-Law Fluids Micromachines steric effect power-law fluids boundary slip oscillatory electroosmotic flow mass transport rate |
| title | Steric and Slippage Effects on Mass Transport by Using an Oscillatory Electroosmotic Flow of Power-Law Fluids |
| title_full | Steric and Slippage Effects on Mass Transport by Using an Oscillatory Electroosmotic Flow of Power-Law Fluids |
| title_fullStr | Steric and Slippage Effects on Mass Transport by Using an Oscillatory Electroosmotic Flow of Power-Law Fluids |
| title_full_unstemmed | Steric and Slippage Effects on Mass Transport by Using an Oscillatory Electroosmotic Flow of Power-Law Fluids |
| title_short | Steric and Slippage Effects on Mass Transport by Using an Oscillatory Electroosmotic Flow of Power-Law Fluids |
| title_sort | steric and slippage effects on mass transport by using an oscillatory electroosmotic flow of power law fluids |
| topic | steric effect power-law fluids boundary slip oscillatory electroosmotic flow mass transport rate |
| url | https://www.mdpi.com/2072-666X/12/5/539 |
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