Three-dimensional curved shock theory.
Saved in:
| Title: | Three-dimensional curved shock theory. |
|---|---|
| Authors: | Emanuel, G.1 (AUTHOR), Mölder, S.2 (AUTHOR) smolder@sympatico.com |
| Source: | Shock Waves. Mar2022, Vol. 32 Issue 2, p129-146. 18p. |
| Subjects: | Reflectance, Shock waves, Vortex motion, Curvature, Scatter diagrams |
| Abstract: | Curved shock theory is developed to characterize the flow on the downstream side of a three-dimensional shock surface. It is applied to non-symmetric, stationary, blunt-body shocks in a uniform, steady, supersonic freestream. The flow-plane-associated derivatives that are tangential and normal to the shock of pressure, density, velocity components, vorticity, and shock curvatures are presented. Relations are provided for the shock angles, flow deflection angles, intrinsic coordinates, the associated basis, pressure derivatives along these coordinates, streamline curvatures, and the reflection coefficient. A global analysis, utilizing scatterplots, is used to locate curves of sonic flow, maximum flow deflection angle, maximum vorticity, and curves for zero streamline curvature (Crocco) and zero streamwise pressure gradient (Thomas) on the back of a three-dimensional shock wave surface. [ABSTRACT FROM AUTHOR] |
| Copyright of Shock Waves 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 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 156106500 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Three-dimensional curved shock theory. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Emanuel%2C+G%2E%22">Emanuel, G.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Mölder%2C+S%2E%22">Mölder, S.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> smolder@sympatico.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Shock+Waves%22">Shock Waves</searchLink>. Mar2022, Vol. 32 Issue 2, p129-146. 18p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Reflectance%22">Reflectance</searchLink><br /><searchLink fieldCode="DE" term="%22Shock+waves%22">Shock waves</searchLink><br /><searchLink fieldCode="DE" term="%22Vortex+motion%22">Vortex motion</searchLink><br /><searchLink fieldCode="DE" term="%22Curvature%22">Curvature</searchLink><br /><searchLink fieldCode="DE" term="%22Scatter+diagrams%22">Scatter diagrams</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Curved shock theory is developed to characterize the flow on the downstream side of a three-dimensional shock surface. It is applied to non-symmetric, stationary, blunt-body shocks in a uniform, steady, supersonic freestream. The flow-plane-associated derivatives that are tangential and normal to the shock of pressure, density, velocity components, vorticity, and shock curvatures are presented. Relations are provided for the shock angles, flow deflection angles, intrinsic coordinates, the associated basis, pressure derivatives along these coordinates, streamline curvatures, and the reflection coefficient. A global analysis, utilizing scatterplots, is used to locate curves of sonic flow, maximum flow deflection angle, maximum vorticity, and curves for zero streamline curvature (Crocco) and zero streamwise pressure gradient (Thomas) on the back of a three-dimensional shock wave surface. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Shock Waves 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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=156106500 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00193-021-01040-8 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 18 StartPage: 129 Subjects: – SubjectFull: Reflectance Type: general – SubjectFull: Shock waves Type: general – SubjectFull: Vortex motion Type: general – SubjectFull: Curvature Type: general – SubjectFull: Scatter diagrams Type: general Titles: – TitleFull: Three-dimensional curved shock theory. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Emanuel, G. – PersonEntity: Name: NameFull: Mölder, S. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2022 Type: published Y: 2022 Identifiers: – Type: issn-print Value: 09381287 Numbering: – Type: volume Value: 32 – Type: issue Value: 2 Titles: – TitleFull: Shock Waves Type: main |
| ResultId | 1 |
