Transient electrohydrodynamics of compound drops
Abstract The transient electrohydrodynamics of a compound drop under a uniform electric field of small strength is investigated. A closed form analytical solution is developed for creeping flow regimes and fluid systems and drop sizes with moderate and/or large Ohnesorge numbers, in the framework of...
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Gespeichert in:
| Autor*in: |
Behjatian, Ali [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Wien 2015 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer Vienna, 1965, 226(2015), 8 vom: 22. März, Seite 2581-2606 |
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| Übergeordnetes Werk: |
volume:226 ; year:2015 ; number:8 ; day:22 ; month:03 ; pages:2581-2606 |
| Links: |
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| DOI / URN: |
10.1007/s00707-015-1335-1 |
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OLC2030143634 |
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| 520 | |a Abstract The transient electrohydrodynamics of a compound drop under a uniform electric field of small strength is investigated. A closed form analytical solution is developed for creeping flow regimes and fluid systems and drop sizes with moderate and/or large Ohnesorge numbers, in the framework of leaky dielectric theory. For small distortion from a spherical shape, the inner and the outer drops deform to ellipsoids, and their deformation–time histories can be represented by $$ , where ij = 12,23 refers to the surfaces of the inner and the outer drops, $${\tau_1}$$ and $${\tau_2}$$ are the characteristic times, Aij and Bij are the coefficients that depend on the input parameters of the system, and $${\mathcal{D}^\infty_{ij}}$$ are the steady-state deformation parameters. The evolution of the flow field for several fluid systems was explored, and it was shown that the ratios of electric conductivities and permittivities of the participating fluids play a key role in determining the evolution of the flow field toward the steady state and that the steady-state flow is established by the motion of toroidal vortices that are formed in the drops and move outward, or formed in the ambient fluid and move inward. | ||
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10.1007/s00707-015-1335-1 doi (DE-627)OLC2030143634 (DE-He213)s00707-015-1335-1-p DE-627 ger DE-627 rakwb eng 530 VZ Behjatian, Ali verfasserin aut Transient electrohydrodynamics of compound drops 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2015 Abstract The transient electrohydrodynamics of a compound drop under a uniform electric field of small strength is investigated. A closed form analytical solution is developed for creeping flow regimes and fluid systems and drop sizes with moderate and/or large Ohnesorge numbers, in the framework of leaky dielectric theory. For small distortion from a spherical shape, the inner and the outer drops deform to ellipsoids, and their deformation–time histories can be represented by $$ , where ij = 12,23 refers to the surfaces of the inner and the outer drops, $${\tau_1}$$ and $${\tau_2}$$ are the characteristic times, Aij and Bij are the coefficients that depend on the input parameters of the system, and $${\mathcal{D}^\infty_{ij}}$$ are the steady-state deformation parameters. The evolution of the flow field for several fluid systems was explored, and it was shown that the ratios of electric conductivities and permittivities of the participating fluids play a key role in determining the evolution of the flow field toward the steady state and that the steady-state flow is established by the motion of toroidal vortices that are formed in the drops and move outward, or formed in the ambient fluid and move inward. Vortex Prolate Closed Form Analytical Solution Toroidal Vortex Electric Stress Esmaeeli, Asghar aut Enthalten in Acta mechanica Springer Vienna, 1965 226(2015), 8 vom: 22. März, Seite 2581-2606 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:226 year:2015 number:8 day:22 month:03 pages:2581-2606 https://doi.org/10.1007/s00707-015-1335-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_4700 AR 226 2015 8 22 03 2581-2606 |
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10.1007/s00707-015-1335-1 doi (DE-627)OLC2030143634 (DE-He213)s00707-015-1335-1-p DE-627 ger DE-627 rakwb eng 530 VZ Behjatian, Ali verfasserin aut Transient electrohydrodynamics of compound drops 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2015 Abstract The transient electrohydrodynamics of a compound drop under a uniform electric field of small strength is investigated. A closed form analytical solution is developed for creeping flow regimes and fluid systems and drop sizes with moderate and/or large Ohnesorge numbers, in the framework of leaky dielectric theory. For small distortion from a spherical shape, the inner and the outer drops deform to ellipsoids, and their deformation–time histories can be represented by $$ , where ij = 12,23 refers to the surfaces of the inner and the outer drops, $${\tau_1}$$ and $${\tau_2}$$ are the characteristic times, Aij and Bij are the coefficients that depend on the input parameters of the system, and $${\mathcal{D}^\infty_{ij}}$$ are the steady-state deformation parameters. The evolution of the flow field for several fluid systems was explored, and it was shown that the ratios of electric conductivities and permittivities of the participating fluids play a key role in determining the evolution of the flow field toward the steady state and that the steady-state flow is established by the motion of toroidal vortices that are formed in the drops and move outward, or formed in the ambient fluid and move inward. Vortex Prolate Closed Form Analytical Solution Toroidal Vortex Electric Stress Esmaeeli, Asghar aut Enthalten in Acta mechanica Springer Vienna, 1965 226(2015), 8 vom: 22. März, Seite 2581-2606 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:226 year:2015 number:8 day:22 month:03 pages:2581-2606 https://doi.org/10.1007/s00707-015-1335-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_4700 AR 226 2015 8 22 03 2581-2606 |
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10.1007/s00707-015-1335-1 doi (DE-627)OLC2030143634 (DE-He213)s00707-015-1335-1-p DE-627 ger DE-627 rakwb eng 530 VZ Behjatian, Ali verfasserin aut Transient electrohydrodynamics of compound drops 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2015 Abstract The transient electrohydrodynamics of a compound drop under a uniform electric field of small strength is investigated. A closed form analytical solution is developed for creeping flow regimes and fluid systems and drop sizes with moderate and/or large Ohnesorge numbers, in the framework of leaky dielectric theory. For small distortion from a spherical shape, the inner and the outer drops deform to ellipsoids, and their deformation–time histories can be represented by $$ , where ij = 12,23 refers to the surfaces of the inner and the outer drops, $${\tau_1}$$ and $${\tau_2}$$ are the characteristic times, Aij and Bij are the coefficients that depend on the input parameters of the system, and $${\mathcal{D}^\infty_{ij}}$$ are the steady-state deformation parameters. The evolution of the flow field for several fluid systems was explored, and it was shown that the ratios of electric conductivities and permittivities of the participating fluids play a key role in determining the evolution of the flow field toward the steady state and that the steady-state flow is established by the motion of toroidal vortices that are formed in the drops and move outward, or formed in the ambient fluid and move inward. Vortex Prolate Closed Form Analytical Solution Toroidal Vortex Electric Stress Esmaeeli, Asghar aut Enthalten in Acta mechanica Springer Vienna, 1965 226(2015), 8 vom: 22. März, Seite 2581-2606 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:226 year:2015 number:8 day:22 month:03 pages:2581-2606 https://doi.org/10.1007/s00707-015-1335-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_4700 AR 226 2015 8 22 03 2581-2606 |
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10.1007/s00707-015-1335-1 doi (DE-627)OLC2030143634 (DE-He213)s00707-015-1335-1-p DE-627 ger DE-627 rakwb eng 530 VZ Behjatian, Ali verfasserin aut Transient electrohydrodynamics of compound drops 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2015 Abstract The transient electrohydrodynamics of a compound drop under a uniform electric field of small strength is investigated. A closed form analytical solution is developed for creeping flow regimes and fluid systems and drop sizes with moderate and/or large Ohnesorge numbers, in the framework of leaky dielectric theory. For small distortion from a spherical shape, the inner and the outer drops deform to ellipsoids, and their deformation–time histories can be represented by $$ , where ij = 12,23 refers to the surfaces of the inner and the outer drops, $${\tau_1}$$ and $${\tau_2}$$ are the characteristic times, Aij and Bij are the coefficients that depend on the input parameters of the system, and $${\mathcal{D}^\infty_{ij}}$$ are the steady-state deformation parameters. The evolution of the flow field for several fluid systems was explored, and it was shown that the ratios of electric conductivities and permittivities of the participating fluids play a key role in determining the evolution of the flow field toward the steady state and that the steady-state flow is established by the motion of toroidal vortices that are formed in the drops and move outward, or formed in the ambient fluid and move inward. Vortex Prolate Closed Form Analytical Solution Toroidal Vortex Electric Stress Esmaeeli, Asghar aut Enthalten in Acta mechanica Springer Vienna, 1965 226(2015), 8 vom: 22. März, Seite 2581-2606 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:226 year:2015 number:8 day:22 month:03 pages:2581-2606 https://doi.org/10.1007/s00707-015-1335-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_4700 AR 226 2015 8 22 03 2581-2606 |
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10.1007/s00707-015-1335-1 doi (DE-627)OLC2030143634 (DE-He213)s00707-015-1335-1-p DE-627 ger DE-627 rakwb eng 530 VZ Behjatian, Ali verfasserin aut Transient electrohydrodynamics of compound drops 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2015 Abstract The transient electrohydrodynamics of a compound drop under a uniform electric field of small strength is investigated. A closed form analytical solution is developed for creeping flow regimes and fluid systems and drop sizes with moderate and/or large Ohnesorge numbers, in the framework of leaky dielectric theory. For small distortion from a spherical shape, the inner and the outer drops deform to ellipsoids, and their deformation–time histories can be represented by $$ , where ij = 12,23 refers to the surfaces of the inner and the outer drops, $${\tau_1}$$ and $${\tau_2}$$ are the characteristic times, Aij and Bij are the coefficients that depend on the input parameters of the system, and $${\mathcal{D}^\infty_{ij}}$$ are the steady-state deformation parameters. The evolution of the flow field for several fluid systems was explored, and it was shown that the ratios of electric conductivities and permittivities of the participating fluids play a key role in determining the evolution of the flow field toward the steady state and that the steady-state flow is established by the motion of toroidal vortices that are formed in the drops and move outward, or formed in the ambient fluid and move inward. Vortex Prolate Closed Form Analytical Solution Toroidal Vortex Electric Stress Esmaeeli, Asghar aut Enthalten in Acta mechanica Springer Vienna, 1965 226(2015), 8 vom: 22. März, Seite 2581-2606 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:226 year:2015 number:8 day:22 month:03 pages:2581-2606 https://doi.org/10.1007/s00707-015-1335-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_4700 AR 226 2015 8 22 03 2581-2606 |
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Abstract The transient electrohydrodynamics of a compound drop under a uniform electric field of small strength is investigated. A closed form analytical solution is developed for creeping flow regimes and fluid systems and drop sizes with moderate and/or large Ohnesorge numbers, in the framework of leaky dielectric theory. For small distortion from a spherical shape, the inner and the outer drops deform to ellipsoids, and their deformation–time histories can be represented by $$ , where ij = 12,23 refers to the surfaces of the inner and the outer drops, $${\tau_1}$$ and $${\tau_2}$$ are the characteristic times, Aij and Bij are the coefficients that depend on the input parameters of the system, and $${\mathcal{D}^\infty_{ij}}$$ are the steady-state deformation parameters. The evolution of the flow field for several fluid systems was explored, and it was shown that the ratios of electric conductivities and permittivities of the participating fluids play a key role in determining the evolution of the flow field toward the steady state and that the steady-state flow is established by the motion of toroidal vortices that are formed in the drops and move outward, or formed in the ambient fluid and move inward. © Springer-Verlag Wien 2015 |
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Abstract The transient electrohydrodynamics of a compound drop under a uniform electric field of small strength is investigated. A closed form analytical solution is developed for creeping flow regimes and fluid systems and drop sizes with moderate and/or large Ohnesorge numbers, in the framework of leaky dielectric theory. For small distortion from a spherical shape, the inner and the outer drops deform to ellipsoids, and their deformation–time histories can be represented by $$ , where ij = 12,23 refers to the surfaces of the inner and the outer drops, $${\tau_1}$$ and $${\tau_2}$$ are the characteristic times, Aij and Bij are the coefficients that depend on the input parameters of the system, and $${\mathcal{D}^\infty_{ij}}$$ are the steady-state deformation parameters. The evolution of the flow field for several fluid systems was explored, and it was shown that the ratios of electric conductivities and permittivities of the participating fluids play a key role in determining the evolution of the flow field toward the steady state and that the steady-state flow is established by the motion of toroidal vortices that are formed in the drops and move outward, or formed in the ambient fluid and move inward. © Springer-Verlag Wien 2015 |
| abstract_unstemmed |
Abstract The transient electrohydrodynamics of a compound drop under a uniform electric field of small strength is investigated. A closed form analytical solution is developed for creeping flow regimes and fluid systems and drop sizes with moderate and/or large Ohnesorge numbers, in the framework of leaky dielectric theory. For small distortion from a spherical shape, the inner and the outer drops deform to ellipsoids, and their deformation–time histories can be represented by $$ , where ij = 12,23 refers to the surfaces of the inner and the outer drops, $${\tau_1}$$ and $${\tau_2}$$ are the characteristic times, Aij and Bij are the coefficients that depend on the input parameters of the system, and $${\mathcal{D}^\infty_{ij}}$$ are the steady-state deformation parameters. The evolution of the flow field for several fluid systems was explored, and it was shown that the ratios of electric conductivities and permittivities of the participating fluids play a key role in determining the evolution of the flow field toward the steady state and that the steady-state flow is established by the motion of toroidal vortices that are formed in the drops and move outward, or formed in the ambient fluid and move inward. © Springer-Verlag Wien 2015 |
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Transient electrohydrodynamics of compound drops |
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