Electro-osmotic flow of generalized Maxwell fluids in triangular microchannels based on distributed order time fractional constitutive model
Based on the linearized Poisson–Boltzmann equation, the electro-osmotic flow of a generalized Maxwell fluid under an alternating field in an isosceles right triangle microchannel is studied. The finite volume method and L2 interpolation method are used to obtain the numerical solution. An analytical...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2023-02-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0138004 |
| _version_ | 1811154917203640320 |
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| author | Limei Cao Cong Li Botong Li Xinhui Si Jing Zhu |
| author_facet | Limei Cao Cong Li Botong Li Xinhui Si Jing Zhu |
| author_sort | Limei Cao |
| collection | DOAJ |
| description | Based on the linearized Poisson–Boltzmann equation, the electro-osmotic flow of a generalized Maxwell fluid under an alternating field in an isosceles right triangle microchannel is studied. The finite volume method and L2 interpolation method are used to obtain the numerical solution. An analytical solution is constructed to verify the accuracy of the numerical solution. Under the alternating current, the velocity will oscillate periodically. The velocity amplitude of the Maxwell fluid with the distributed order time fractional derivative is larger than that of Newtonian fluids and fractional Maxwell fluids, which indicates that its elastic characteristics further promote fluid flow. However, oscillation of the velocity does not achieve synchronization with the oscillation of the electric fields. Furthermore, due to the existence of the angle effect, the velocity will develop at acute angles and form a larger value of velocity first. The numerical results show that the relaxation time, electrokinetic width, zeta potential, and angular Reynolds number play important roles in determining the velocity and amplitude of electro-osmosis. |
| first_indexed | 2024-04-10T04:24:03Z |
| format | Article |
| id | doaj.art-981de750ba0c472fab3df8beed2012c8 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-04-10T04:24:03Z |
| publishDate | 2023-02-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-981de750ba0c472fab3df8beed2012c82023-03-10T17:26:20ZengAIP Publishing LLCAIP Advances2158-32262023-02-01132025146025146-1810.1063/5.0138004Electro-osmotic flow of generalized Maxwell fluids in triangular microchannels based on distributed order time fractional constitutive modelLimei Cao0Cong Li1Botong Li2Xinhui Si3Jing Zhu4School of Mathematics and Physics, University of Science and Technology, Beijing 100083, ChinaSchool of Mathematics and Physics, University of Science and Technology, Beijing 100083, ChinaSchool of Mathematics and Physics, University of Science and Technology, Beijing 100083, ChinaSchool of Mathematics and Physics, University of Science and Technology, Beijing 100083, ChinaSchool of Mathematics and Physics, University of Science and Technology, Beijing 100083, ChinaBased on the linearized Poisson–Boltzmann equation, the electro-osmotic flow of a generalized Maxwell fluid under an alternating field in an isosceles right triangle microchannel is studied. The finite volume method and L2 interpolation method are used to obtain the numerical solution. An analytical solution is constructed to verify the accuracy of the numerical solution. Under the alternating current, the velocity will oscillate periodically. The velocity amplitude of the Maxwell fluid with the distributed order time fractional derivative is larger than that of Newtonian fluids and fractional Maxwell fluids, which indicates that its elastic characteristics further promote fluid flow. However, oscillation of the velocity does not achieve synchronization with the oscillation of the electric fields. Furthermore, due to the existence of the angle effect, the velocity will develop at acute angles and form a larger value of velocity first. The numerical results show that the relaxation time, electrokinetic width, zeta potential, and angular Reynolds number play important roles in determining the velocity and amplitude of electro-osmosis.http://dx.doi.org/10.1063/5.0138004 |
| spellingShingle | Limei Cao Cong Li Botong Li Xinhui Si Jing Zhu Electro-osmotic flow of generalized Maxwell fluids in triangular microchannels based on distributed order time fractional constitutive model AIP Advances |
| title | Electro-osmotic flow of generalized Maxwell fluids in triangular microchannels based on distributed order time fractional constitutive model |
| title_full | Electro-osmotic flow of generalized Maxwell fluids in triangular microchannels based on distributed order time fractional constitutive model |
| title_fullStr | Electro-osmotic flow of generalized Maxwell fluids in triangular microchannels based on distributed order time fractional constitutive model |
| title_full_unstemmed | Electro-osmotic flow of generalized Maxwell fluids in triangular microchannels based on distributed order time fractional constitutive model |
| title_short | Electro-osmotic flow of generalized Maxwell fluids in triangular microchannels based on distributed order time fractional constitutive model |
| title_sort | electro osmotic flow of generalized maxwell fluids in triangular microchannels based on distributed order time fractional constitutive model |
| url | http://dx.doi.org/10.1063/5.0138004 |
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