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Helmholtz Resonance Frequency of the Synthetic Jet Actuator
This paper presents the results of experimental investigations of 108 geometrical configurations of a loudspeaker-driven synthetic jet (SJ) actuator. The considered cases of the SJ actuator were characterized by a high coupling ratio. The experiment was performed to determine the impact of geometry...
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Published in: | Applied sciences 2021-06, Vol.11 (12), p.5666 |
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description | This paper presents the results of experimental investigations of 108 geometrical configurations of a loudspeaker-driven synthetic jet (SJ) actuator. The considered cases of the SJ actuator were characterized by a high coupling ratio. The experiment was performed to determine the impact of geometry on the Helmholtz resonance frequency. Geometrical parameters of the orifice diameter, orifice length, and cavity volume were changed within a wide range. The dependences of electrical and flow parameters that characterized the synthetic jet actuators as a function of the excitation frequency were also identified. The main goal of the research was to identify the optimal mathematical formula of the model to calculate the Helmholtz resonance frequency in the case of synthetic jet actuators. To determine the model that was characterized by the best fit of the experimental results, an additional geometrical dimensionless parameter, representing the ratio of the orifice cross-section area to the cross-section area of the cavity, was introduced. A significant impact of this parameter on the effective orifice length was noted. Based on the research findings, a model was obtained for which the results of the experiment were in the error range of ±6% for 95% of the measurement data. The obtained model is an improved version of the classical model used in the description of the resonance frequency in the case of a synthetic jet actuator. The model enables highly accurate determination of the Helmholtz resonance frequency at which the maximum synthetic jet actuator parameters occur. |
doi_str_mv | 10.3390/app11125666 |
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Based on the research findings, a model was obtained for which the results of the experiment were in the error range of ±6% for 95% of the measurement data. The obtained model is an improved version of the classical model used in the description of the resonance frequency in the case of a synthetic jet actuator. The model enables highly accurate determination of the Helmholtz resonance frequency at which the maximum synthetic jet actuator parameters occur.</description><identifier>ISSN: 2076-3417</identifier><identifier>EISSN: 2076-3417</identifier><identifier>DOI: 10.3390/app11125666</identifier><language>eng</language><publisher>Basel: MDPI AG</publisher><subject>Accuracy ; Actuators ; Cross-sections ; effective orifice length ; frequency response ; Geometry ; Heat transfer ; Helmholtz resonance frequency ; Mathematical models ; Orifices ; Resonance ; synthetic jet ; Synthetic jets</subject><ispartof>Applied sciences, 2021-06, Vol.11 (12), p.5666</ispartof><rights>2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c364t-81162a5c188cb90b77fbab41d6559691907cdb28287670889df131e28e9341703</citedby><cites>FETCH-LOGICAL-c364t-81162a5c188cb90b77fbab41d6559691907cdb28287670889df131e28e9341703</cites><orcidid>0000-0001-9931-3012 ; 0000-0002-1985-8379</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2544957257/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2544957257?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,25753,27924,27925,37012,44590,75126</link.rule.ids></links><search><creatorcontrib>Gil, Paweł</creatorcontrib><creatorcontrib>Wilk, Joanna</creatorcontrib><creatorcontrib>Korzeniowski, Michał</creatorcontrib><title>Helmholtz Resonance Frequency of the Synthetic Jet Actuator</title><title>Applied sciences</title><description>This paper presents the results of experimental investigations of 108 geometrical configurations of a loudspeaker-driven synthetic jet (SJ) actuator. 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Based on the research findings, a model was obtained for which the results of the experiment were in the error range of ±6% for 95% of the measurement data. The obtained model is an improved version of the classical model used in the description of the resonance frequency in the case of a synthetic jet actuator. The model enables highly accurate determination of the Helmholtz resonance frequency at which the maximum synthetic jet actuator parameters occur.</description><subject>Accuracy</subject><subject>Actuators</subject><subject>Cross-sections</subject><subject>effective orifice length</subject><subject>frequency response</subject><subject>Geometry</subject><subject>Heat transfer</subject><subject>Helmholtz resonance frequency</subject><subject>Mathematical models</subject><subject>Orifices</subject><subject>Resonance</subject><subject>synthetic jet</subject><subject>Synthetic jets</subject><issn>2076-3417</issn><issn>2076-3417</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNpNUE1LAzEUDKJgqT35BxY8ympevoOnUqytFAQ_ziGbzdqW7WbNZg_117u1In2XeTyGeTOD0DXgO0o1vrdtCwCECyHO0IhgKXLKQJ6f7Jdo0nVbPIwGqgCP0MPC17t1qNN39uq70NjG-Wwe_VfvG7fPQpWltc_e9s0AaeOyZ5-yqUu9TSFeoYvK1p2f_OEYfcwf32eLfPXytJxNV7mjgqVcAQhiuQOlXKFxIWVV2IJBKTjXQoPG0pUFUURJIbFSuqyAgifK64NnTMdoedQtg92aNm52Nu5NsBvzewjx09g4mKu94RXTqlTCeicZVdZax7UTXDFPqShg0Lo5arUxDBm7ZLahj81g3xDOmOaScDmwbo8sF0PXRV_9fwVsDmWbk7LpDy0Nbt4</recordid><startdate>20210601</startdate><enddate>20210601</enddate><creator>Gil, Paweł</creator><creator>Wilk, Joanna</creator><creator>Korzeniowski, Michał</creator><general>MDPI AG</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0001-9931-3012</orcidid><orcidid>https://orcid.org/0000-0002-1985-8379</orcidid></search><sort><creationdate>20210601</creationdate><title>Helmholtz Resonance Frequency of the Synthetic Jet Actuator</title><author>Gil, Paweł ; Wilk, Joanna ; Korzeniowski, Michał</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c364t-81162a5c188cb90b77fbab41d6559691907cdb28287670889df131e28e9341703</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Accuracy</topic><topic>Actuators</topic><topic>Cross-sections</topic><topic>effective orifice length</topic><topic>frequency response</topic><topic>Geometry</topic><topic>Heat transfer</topic><topic>Helmholtz resonance frequency</topic><topic>Mathematical models</topic><topic>Orifices</topic><topic>Resonance</topic><topic>synthetic jet</topic><topic>Synthetic jets</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gil, Paweł</creatorcontrib><creatorcontrib>Wilk, Joanna</creatorcontrib><creatorcontrib>Korzeniowski, Michał</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>Publicly Available Content (ProQuest)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>Applied sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Gil, Paweł</au><au>Wilk, Joanna</au><au>Korzeniowski, Michał</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Helmholtz Resonance Frequency of the Synthetic Jet Actuator</atitle><jtitle>Applied sciences</jtitle><date>2021-06-01</date><risdate>2021</risdate><volume>11</volume><issue>12</issue><spage>5666</spage><pages>5666-</pages><issn>2076-3417</issn><eissn>2076-3417</eissn><abstract>This paper presents the results of experimental investigations of 108 geometrical configurations of a loudspeaker-driven synthetic jet (SJ) actuator. The considered cases of the SJ actuator were characterized by a high coupling ratio. The experiment was performed to determine the impact of geometry on the Helmholtz resonance frequency. Geometrical parameters of the orifice diameter, orifice length, and cavity volume were changed within a wide range. The dependences of electrical and flow parameters that characterized the synthetic jet actuators as a function of the excitation frequency were also identified. The main goal of the research was to identify the optimal mathematical formula of the model to calculate the Helmholtz resonance frequency in the case of synthetic jet actuators. To determine the model that was characterized by the best fit of the experimental results, an additional geometrical dimensionless parameter, representing the ratio of the orifice cross-section area to the cross-section area of the cavity, was introduced. A significant impact of this parameter on the effective orifice length was noted. Based on the research findings, a model was obtained for which the results of the experiment were in the error range of ±6% for 95% of the measurement data. The obtained model is an improved version of the classical model used in the description of the resonance frequency in the case of a synthetic jet actuator. The model enables highly accurate determination of the Helmholtz resonance frequency at which the maximum synthetic jet actuator parameters occur.</abstract><cop>Basel</cop><pub>MDPI AG</pub><doi>10.3390/app11125666</doi><orcidid>https://orcid.org/0000-0001-9931-3012</orcidid><orcidid>https://orcid.org/0000-0002-1985-8379</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Accuracy Actuators Cross-sections effective orifice length frequency response Geometry Heat transfer Helmholtz resonance frequency Mathematical models Orifices Resonance synthetic jet Synthetic jets |
title | Helmholtz Resonance Frequency of the Synthetic Jet Actuator |
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