Cylindrical vortex wake model: right cylinder
The vortex system consisting of a bound vortex disk, a root vortex and a vortex cylinder as introduced by Joukowski in 1912 is further studied in this paper. This system can be used for simple modeling of rotors (e.g. wind turbines) with infinite number of blades and finite tip‐speed ratios. For eac...
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| Veröffentlicht in: | Wind energy (Chichester, England) England), 2015-11, Vol.18 (11), p.1973-1987 |
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| container_end_page | 1987 |
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| container_issue | 11 |
| container_start_page | 1973 |
| container_title | Wind energy (Chichester, England) |
| container_volume | 18 |
| creator | Branlard, E. Gaunaa, M. |
| description | The vortex system consisting of a bound vortex disk, a root vortex and a vortex cylinder as introduced by Joukowski in 1912 is further studied in this paper. This system can be used for simple modeling of rotors (e.g. wind turbines) with infinite number of blades and finite tip‐speed ratios. For each vortex element, the velocity components in all directions and in the entire domain are computed analytically in a novel approach. In particular, the velocity field from the vortex actuator disk is derived for the first time. The induction from the entire vortex system is studied and is seen to recall results from 1D momentum theory. It is shown that a superposition of concentric cylindrical systems predicts the independence of annuli, which is assumed in blade element theory and stream‐tube analyses. A simple example of application for the estimation of the velocity deficit upstream of a wind turbine is provided. Copyright © 2014 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/we.1800 |
| format | Article |
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This system can be used for simple modeling of rotors (e.g. wind turbines) with infinite number of blades and finite tip‐speed ratios. For each vortex element, the velocity components in all directions and in the entire domain are computed analytically in a novel approach. In particular, the velocity field from the vortex actuator disk is derived for the first time. The induction from the entire vortex system is studied and is seen to recall results from 1D momentum theory. It is shown that a superposition of concentric cylindrical systems predicts the independence of annuli, which is assumed in blade element theory and stream‐tube analyses. A simple example of application for the estimation of the velocity deficit upstream of a wind turbine is provided. 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Copyright © 2014 John Wiley & Sons, Ltd.</description><subject>BEM code</subject><subject>bound vorticity</subject><subject>finite tip-speed ratio</subject><subject>root vortex</subject><subject>Rotors</subject><subject>trailed vorticity</subject><subject>Turbines</subject><subject>vortex cylinder</subject><subject>Wind power</subject><subject>wind turbine aerodynamics</subject><issn>1095-4244</issn><issn>1099-1824</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp10E1Lw0AQgOFFFKxV_AsBDwqSOvuR3aw3qbUKxQ9Q6m1Zs1NNmzZ1tzX235s2xYPgaebwMAwvIccUOhSAXVTYoSnADmlR0DqmKRO7mz2JBRNinxyEMAagQGnaInF3VeQz5_PMFtFX6Rf4HVV2gtG0dFhcRj5__1hE2QahPyR7I1sEPNrONnm56T13b-PBQ_-uezWIs0RKiJliVitBuVCowToF1KU8sRrRCTeSVjCptcwcyhSEkxYZcgbZm5PAATlvk7Pm7tyXn0sMCzPNQ4ZFYWdYLoOhiimpBAOo6ckfOi6XflZ_t1YgGNc0qdVpozJfhuBxZOY-n1q_MhTMOpup0Kyz1fK8kVVe4Oo_Zoa9rY4bnYe63K-2fmKk4ioxw_u-eRKPsv86vDYD_gPQPXmc</recordid><startdate>201511</startdate><enddate>201511</enddate><creator>Branlard, E.</creator><creator>Gaunaa, M.</creator><general>Blackwell Publishing Ltd</general><general>John Wiley & Sons, Inc</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7ST</scope><scope>C1K</scope><scope>SOI</scope><scope>7U6</scope></search><sort><creationdate>201511</creationdate><title>Cylindrical vortex wake model: right cylinder</title><author>Branlard, E. ; Gaunaa, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c5660-272a9741347e90ad701d835a9eed4df6a426996cde6804d6ae2e320cbd6030e33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>BEM code</topic><topic>bound vorticity</topic><topic>finite tip-speed ratio</topic><topic>root vortex</topic><topic>Rotors</topic><topic>trailed vorticity</topic><topic>Turbines</topic><topic>vortex cylinder</topic><topic>Wind power</topic><topic>wind turbine aerodynamics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Branlard, E.</creatorcontrib><creatorcontrib>Gaunaa, M.</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><collection>Environment Abstracts</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Environment Abstracts</collection><collection>Sustainability Science Abstracts</collection><jtitle>Wind energy (Chichester, England)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Branlard, E.</au><au>Gaunaa, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Cylindrical vortex wake model: right cylinder</atitle><jtitle>Wind energy (Chichester, England)</jtitle><addtitle>Wind Energ</addtitle><date>2015-11</date><risdate>2015</risdate><volume>18</volume><issue>11</issue><spage>1973</spage><epage>1987</epage><pages>1973-1987</pages><issn>1095-4244</issn><eissn>1099-1824</eissn><abstract>The vortex system consisting of a bound vortex disk, a root vortex and a vortex cylinder as introduced by Joukowski in 1912 is further studied in this paper. 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| identifier | ISSN: 1095-4244 |
| ispartof | Wind energy (Chichester, England), 2015-11, Vol.18 (11), p.1973-1987 |
| issn | 1095-4244 1099-1824 |
| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | BEM code bound vorticity finite tip-speed ratio root vortex Rotors trailed vorticity Turbines vortex cylinder Wind power wind turbine aerodynamics |
| title | Cylindrical vortex wake model: right cylinder |
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