Generalized Weissinger’s L-method for prediction of curved wings operating above a free surface in subsonic flow.
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| Title: | Generalized Weissinger’s L-method for prediction of curved wings operating above a free surface in subsonic flow. |
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| Authors: | Liang, H.1 lianghui128@126.com, Zong, Z.1 zongzhi@dlut.edu.cn, Sun, L.1, Zou, L.2,3, Zhou, L.1, Zhao, Y. J.1, Ren, Z. R.1 |
| Source: | Journal of Engineering Mathematics. Dec2013, Vol. 83 Issue 1, p109-129. 21p. |
| Subjects: | Free surfaces, Subsonic flow, Generalization, Hydraulics, Prediction models, Numerical analysis |
| Abstract: | The classical Weissinger’s L-method is generalized to the lifting problem for steadily advancing curved wings subject to the wing-in-ground (WIG) effect above a large body of water in subsonic flow, and the free surface defines the boundary between the air and water. Unlike the traditional analysis of the lifting problem, the essential techniques focus on finding the three-dimensional free surface Green’s function generated by the isolated horseshoe vortex in the upper layer of the stratified fluid where the air is regarded as weakly compressible and the water is incompressible. The numerical calculation is implemented using Weissinger’s L-method. Finally, the effects of the curved geometry on WIG effect in the vicinity of a free surface in subsonic flow are discussed. Extensive numerical examples are carried out to show the lift properties for three-dimensional swept and dihedral wings operating in the vicinity of a free surface as a function of the sweep or dihedral angle for different clearance-to-chord ratios and Mach numbers. Interestingly, for high Froude numbers, the free surface effectively becomes rigid, and it can safely be treated as a solid surface. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Engineering Mathematics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 92598156 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Generalized Weissinger’s L-method for prediction of curved wings operating above a free surface in subsonic flow. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Liang%2C+H%2E%22">Liang, H.</searchLink><relatesTo>1</relatesTo><i> lianghui128@126.com</i><br /><searchLink fieldCode="AR" term="%22Zong%2C+Z%2E%22">Zong, Z.</searchLink><relatesTo>1</relatesTo><i> zongzhi@dlut.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Sun%2C+L%2E%22">Sun, L.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Zou%2C+L%2E%22">Zou, L.</searchLink><relatesTo>2,3</relatesTo><br /><searchLink fieldCode="AR" term="%22Zhou%2C+L%2E%22">Zhou, L.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Zhao%2C+Y%2E+J%2E%22">Zhao, Y. J.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Ren%2C+Z%2E+R%2E%22">Ren, Z. R.</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Engineering+Mathematics%22">Journal of Engineering Mathematics</searchLink>. Dec2013, Vol. 83 Issue 1, p109-129. 21p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Free+surfaces%22">Free surfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Subsonic+flow%22">Subsonic flow</searchLink><br /><searchLink fieldCode="DE" term="%22Generalization%22">Generalization</searchLink><br /><searchLink fieldCode="DE" term="%22Hydraulics%22">Hydraulics</searchLink><br /><searchLink fieldCode="DE" term="%22Prediction+models%22">Prediction models</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The classical Weissinger’s L-method is generalized to the lifting problem for steadily advancing curved wings subject to the wing-in-ground (WIG) effect above a large body of water in subsonic flow, and the free surface defines the boundary between the air and water. Unlike the traditional analysis of the lifting problem, the essential techniques focus on finding the three-dimensional free surface Green’s function generated by the isolated horseshoe vortex in the upper layer of the stratified fluid where the air is regarded as weakly compressible and the water is incompressible. The numerical calculation is implemented using Weissinger’s L-method. Finally, the effects of the curved geometry on WIG effect in the vicinity of a free surface in subsonic flow are discussed. Extensive numerical examples are carried out to show the lift properties for three-dimensional swept and dihedral wings operating in the vicinity of a free surface as a function of the sweep or dihedral angle for different clearance-to-chord ratios and Mach numbers. Interestingly, for high Froude numbers, the free surface effectively becomes rigid, and it can safely be treated as a solid surface. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Engineering Mathematics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10665-012-9611-8 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 109 Subjects: – SubjectFull: Free surfaces Type: general – SubjectFull: Subsonic flow Type: general – SubjectFull: Generalization Type: general – SubjectFull: Hydraulics Type: general – SubjectFull: Prediction models Type: general – SubjectFull: Numerical analysis Type: general Titles: – TitleFull: Generalized Weissinger’s L-method for prediction of curved wings operating above a free surface in subsonic flow. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Liang, H. – PersonEntity: Name: NameFull: Zong, Z. – PersonEntity: Name: NameFull: Sun, L. – PersonEntity: Name: NameFull: Zou, L. – PersonEntity: Name: NameFull: Zhou, L. – PersonEntity: Name: NameFull: Zhao, Y. J. – PersonEntity: Name: NameFull: Ren, Z. R. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2013 Type: published Y: 2013 Identifiers: – Type: issn-print Value: 00220833 Numbering: – Type: volume Value: 83 – Type: issue Value: 1 Titles: – TitleFull: Journal of Engineering Mathematics Type: main |
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