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Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids
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| Zeitschriftentitel: | The Physics of Fluids |
|---|---|
| Personen und Körperschaften: | , |
| In: | The Physics of Fluids, 25, 1982, 10, S. 1785-1793 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
AIP Publishing
|
| Schlagwörter: |
| author_facet |
Ehrlich, R. M. Melcher, J. R. Ehrlich, R. M. Melcher, J. R. |
|---|---|
| author |
Ehrlich, R. M. Melcher, J. R. |
| spellingShingle |
Ehrlich, R. M. Melcher, J. R. The Physics of Fluids Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids General Engineering |
| author_sort |
ehrlich, r. m. |
| spelling |
Ehrlich, R. M. Melcher, J. R. 0031-9171 AIP Publishing General Engineering http://dx.doi.org/10.1063/1.863655 <jats:p>A model is proposed for the time evolution of ion concentrations in a thin charge layer near an interface between an insulating solid and a semi-insulating bipolar liquid, subjected to an applied electric field. Given the specific case of a traveling-wave applied field of peak magnitude E0 and planar geometry, solutions for the charge density and electric field in the layer are used to calculate the time-average stress moment and, hence, the pumping velocity of the liquid. Analytic solutions, valid in the regimes of small applied field magnitude (E0LD/Vt≪1, where L0 and Vt are the Debye length and thermal voltage, respectively) or frequency (ωε/σ≪1, ω the angular frequency and ε and σ the permittivity and equilibrium conductivity, respectively), predict charge layers with a characteristic dimension of the Debye length and fluid pumping in the direction of propagation of the traveling wave (forward). Numerical solutions, in the regime of large magnitude fields with ωε/σ∼1, predict either forward or backward pumping, as well as a charge layer with thickness on the order of a migration length (L = 2πbE0/ω, where b is the ion mobility). Parameters such as ion mobility, thermal generation rate, and level of ionization in the liquid are important in determining the rate (and even direction) of the pumping.</jats:p> Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids The Physics of Fluids |
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AIP Publishing, 1982 |
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AIP Publishing, 1982 |
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1982 |
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AIP Publishing |
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The Physics of Fluids |
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49 |
| title |
Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids |
| title_unstemmed |
Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids |
| title_full |
Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids |
| title_fullStr |
Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids |
| title_full_unstemmed |
Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids |
| title_short |
Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids |
| title_sort |
bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids |
| topic |
General Engineering |
| url |
http://dx.doi.org/10.1063/1.863655 |
| publishDate |
1982 |
| physical |
1785-1793 |
| description |
<jats:p>A model is proposed for the time evolution of ion concentrations in a thin charge layer near an interface between an insulating solid and a semi-insulating bipolar liquid, subjected to an applied electric field. Given the specific case of a traveling-wave applied field of peak magnitude E0 and planar geometry, solutions for the charge density and electric field in the layer are used to calculate the time-average stress moment and, hence, the pumping velocity of the liquid. Analytic solutions, valid in the regimes of small applied field magnitude (E0LD/Vt≪1, where L0 and Vt are the Debye length and thermal voltage, respectively) or frequency (ωε/σ≪1, ω the angular frequency and ε and σ the permittivity and equilibrium conductivity, respectively), predict charge layers with a characteristic dimension of the Debye length and fluid pumping in the direction of propagation of the traveling wave (forward). Numerical solutions, in the regime of large magnitude fields with ωε/σ∼1, predict either forward or backward pumping, as well as a charge layer with thickness on the order of a migration length (L = 2πbE0/ω, where b is the ion mobility). Parameters such as ion mobility, thermal generation rate, and level of ionization in the liquid are important in determining the rate (and even direction) of the pumping.</jats:p> |
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| author | Ehrlich, R. M., Melcher, J. R. |
| author_facet | Ehrlich, R. M., Melcher, J. R., Ehrlich, R. M., Melcher, J. R. |
| author_sort | ehrlich, r. m. |
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| container_start_page | 1785 |
| container_title | The Physics of Fluids |
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| description | <jats:p>A model is proposed for the time evolution of ion concentrations in a thin charge layer near an interface between an insulating solid and a semi-insulating bipolar liquid, subjected to an applied electric field. Given the specific case of a traveling-wave applied field of peak magnitude E0 and planar geometry, solutions for the charge density and electric field in the layer are used to calculate the time-average stress moment and, hence, the pumping velocity of the liquid. Analytic solutions, valid in the regimes of small applied field magnitude (E0LD/Vt≪1, where L0 and Vt are the Debye length and thermal voltage, respectively) or frequency (ωε/σ≪1, ω the angular frequency and ε and σ the permittivity and equilibrium conductivity, respectively), predict charge layers with a characteristic dimension of the Debye length and fluid pumping in the direction of propagation of the traveling wave (forward). Numerical solutions, in the regime of large magnitude fields with ωε/σ∼1, predict either forward or backward pumping, as well as a charge layer with thickness on the order of a migration length (L = 2πbE0/ω, where b is the ion mobility). Parameters such as ion mobility, thermal generation rate, and level of ionization in the liquid are important in determining the rate (and even direction) of the pumping.</jats:p> |
| doi_str_mv | 10.1063/1.863655 |
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| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTA2My8xLjg2MzY1NQ |
| imprint | AIP Publishing, 1982 |
| imprint_str_mv | AIP Publishing, 1982 |
| institution | DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-D161 |
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| physical | 1785-1793 |
| publishDate | 1982 |
| publishDateSort | 1982 |
| publisher | AIP Publishing |
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| series | The Physics of Fluids |
| source_id | 49 |
| spelling | Ehrlich, R. M. Melcher, J. R. 0031-9171 AIP Publishing General Engineering http://dx.doi.org/10.1063/1.863655 <jats:p>A model is proposed for the time evolution of ion concentrations in a thin charge layer near an interface between an insulating solid and a semi-insulating bipolar liquid, subjected to an applied electric field. Given the specific case of a traveling-wave applied field of peak magnitude E0 and planar geometry, solutions for the charge density and electric field in the layer are used to calculate the time-average stress moment and, hence, the pumping velocity of the liquid. Analytic solutions, valid in the regimes of small applied field magnitude (E0LD/Vt≪1, where L0 and Vt are the Debye length and thermal voltage, respectively) or frequency (ωε/σ≪1, ω the angular frequency and ε and σ the permittivity and equilibrium conductivity, respectively), predict charge layers with a characteristic dimension of the Debye length and fluid pumping in the direction of propagation of the traveling wave (forward). Numerical solutions, in the regime of large magnitude fields with ωε/σ∼1, predict either forward or backward pumping, as well as a charge layer with thickness on the order of a migration length (L = 2πbE0/ω, where b is the ion mobility). Parameters such as ion mobility, thermal generation rate, and level of ionization in the liquid are important in determining the rate (and even direction) of the pumping.</jats:p> Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids The Physics of Fluids |
| spellingShingle | Ehrlich, R. M., Melcher, J. R., The Physics of Fluids, Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids, General Engineering |
| title | Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids |
| title_full | Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids |
| title_fullStr | Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids |
| title_full_unstemmed | Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids |
| title_short | Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids |
| title_sort | bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids |
| title_unstemmed | Bipolar model for traveling-wave induced nonequilibrium double-layer streaming in insulating liquids |
| topic | General Engineering |
| url | http://dx.doi.org/10.1063/1.863655 |