Stability of a viscous liquid jet in a high-frequency alternating electric field
The stability of a liquid electrolyte placed in a tangential electric field oscillating harmonically at high frequency is considered assuming that the liquid is viscous and Newtonian. It is shown that, if the Peclet number calculated from the thickness of the Debye layer is small, the problem can be...
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| Veröffentlicht in: | Journal of applied mechanics and technical physics 2010-01, Vol.51 (1), p.31-43 |
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| container_title | Journal of applied mechanics and technical physics |
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| creator | Demekhin, E. A. Polyanskikh, S. V. |
| description | The stability of a liquid electrolyte placed in a tangential electric field oscillating harmonically at high frequency is considered assuming that the liquid is viscous and Newtonian. It is shown that, if the Peclet number calculated from the thickness of the Debye layer is small, the problem can be solved separately for the electrodynamic part of the problem in the Debye layer and for the hydrodynamic part of the problem in the jet. The linear stability of the trivial solution of the problem is investigated. A dispersion relation is derived and used to study the effect of the amplitude and frequency of electric field oscillations on the stability of the jet. It is shown that the presence of the external oscillating field has a stabilizing effect on the jet. The basic stability regimes as functions of the control parameters of the problem and bifurcation changes in the regimes are investigated. |
| doi_str_mv | 10.1007/s10808-010-0006-1 |
| format | Article |
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A. ; Polyanskikh, S. V.</creator><creatorcontrib>Demekhin, E. A. ; Polyanskikh, S. V.</creatorcontrib><description>The stability of a liquid electrolyte placed in a tangential electric field oscillating harmonically at high frequency is considered assuming that the liquid is viscous and Newtonian. It is shown that, if the Peclet number calculated from the thickness of the Debye layer is small, the problem can be solved separately for the electrodynamic part of the problem in the Debye layer and for the hydrodynamic part of the problem in the jet. The linear stability of the trivial solution of the problem is investigated. A dispersion relation is derived and used to study the effect of the amplitude and frequency of electric field oscillations on the stability of the jet. It is shown that the presence of the external oscillating field has a stabilizing effect on the jet. The basic stability regimes as functions of the control parameters of the problem and bifurcation changes in the regimes are investigated.</description><identifier>ISSN: 0021-8944</identifier><identifier>EISSN: 1573-8620</identifier><identifier>DOI: 10.1007/s10808-010-0006-1</identifier><language>eng</language><publisher>Dordrecht: SP MAIK Nauka/Interperiodica</publisher><subject>Applications of Mathematics ; Classical and Continuum Physics ; Classical Mechanics ; Dispersions ; Electric fields ; Electrodynamics ; Electrolytes ; Fluid- and Aerodynamics ; Liquids ; Mathematical Modeling and Industrial Mathematics ; Mechanical Engineering ; Oscillating ; Oscillations ; Physics ; Physics and Astronomy ; Stability</subject><ispartof>Journal of applied mechanics and technical physics, 2010-01, Vol.51 (1), p.31-43</ispartof><rights>MAIK/Nauka 2010</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c321t-70b6513bb68fae0a2b6aba22c45485467083e3435e54277d043efcf1abb65aa83</citedby><cites>FETCH-LOGICAL-c321t-70b6513bb68fae0a2b6aba22c45485467083e3435e54277d043efcf1abb65aa83</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10808-010-0006-1$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10808-010-0006-1$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51297</link.rule.ids></links><search><creatorcontrib>Demekhin, E. A.</creatorcontrib><creatorcontrib>Polyanskikh, S. V.</creatorcontrib><title>Stability of a viscous liquid jet in a high-frequency alternating electric field</title><title>Journal of applied mechanics and technical physics</title><addtitle>J Appl Mech Tech Phy</addtitle><description>The stability of a liquid electrolyte placed in a tangential electric field oscillating harmonically at high frequency is considered assuming that the liquid is viscous and Newtonian. It is shown that, if the Peclet number calculated from the thickness of the Debye layer is small, the problem can be solved separately for the electrodynamic part of the problem in the Debye layer and for the hydrodynamic part of the problem in the jet. The linear stability of the trivial solution of the problem is investigated. A dispersion relation is derived and used to study the effect of the amplitude and frequency of electric field oscillations on the stability of the jet. It is shown that the presence of the external oscillating field has a stabilizing effect on the jet. The basic stability regimes as functions of the control parameters of the problem and bifurcation changes in the regimes are investigated.</description><subject>Applications of Mathematics</subject><subject>Classical and Continuum Physics</subject><subject>Classical Mechanics</subject><subject>Dispersions</subject><subject>Electric fields</subject><subject>Electrodynamics</subject><subject>Electrolytes</subject><subject>Fluid- and Aerodynamics</subject><subject>Liquids</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mechanical Engineering</subject><subject>Oscillating</subject><subject>Oscillations</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Stability</subject><issn>0021-8944</issn><issn>1573-8620</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWKs_wFuOXqKTj03SoxS_oKCgnkM2TdqUdLdNdoX-e1Pq2dPA8DzDOy9CtxTuKYB6KBQ0aAIUCABIQs_QhDaKEy0ZnKMJAKNEz4S4RFelbCoz01RN0MfnYNuY4nDAfcAW_8Ti-rHgFPdjXOKNH3Ds6n4dV2sSst-PvnMHbNPgc2eH2K2wT94NOTocok_La3QRbCr-5m9O0ffz09f8lSzeX97mjwviOKMDUdDKhvK2lTpYD5a10raWMScaoRshFWjuueCNbwRTagmC--ACtdVorNV8iu5Od3e5r6HKYLY1uk_Jdr4-YKhUlHMpJa0oPaEu96VkH8wux63NB0PBHNszp_ZMbc8c2zNHh52cUtlu5bPZ9GP9OJV_pF__rnHv</recordid><startdate>20100101</startdate><enddate>20100101</enddate><creator>Demekhin, E. 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A dispersion relation is derived and used to study the effect of the amplitude and frequency of electric field oscillations on the stability of the jet. It is shown that the presence of the external oscillating field has a stabilizing effect on the jet. The basic stability regimes as functions of the control parameters of the problem and bifurcation changes in the regimes are investigated.</abstract><cop>Dordrecht</cop><pub>SP MAIK Nauka/Interperiodica</pub><doi>10.1007/s10808-010-0006-1</doi><tpages>13</tpages></addata></record> |
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| language | eng |
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| source | SpringerLink Journals |
| subjects | Applications of Mathematics Classical and Continuum Physics Classical Mechanics Dispersions Electric fields Electrodynamics Electrolytes Fluid- and Aerodynamics Liquids Mathematical Modeling and Industrial Mathematics Mechanical Engineering Oscillating Oscillations Physics Physics and Astronomy Stability |
| title | Stability of a viscous liquid jet in a high-frequency alternating electric field |
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