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Transonic flows with approximate streamlines.

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Title: Transonic flows with approximate streamlines.
Authors: Núñez, Manuel1 (AUTHOR) mnunez@uva.es
Source: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. Sep2025, Vol. 105 Issue 9, p1-9. 9p.
Subjects: Transonic flow, Supersonic flow, Ordinary differential equations, Laminar flow, Nozzles, Partial differential equations, Subsonic flow, Incompressible flow
Abstract: When the streamlines of a transonic flow may be approximated by those of an incompressible one, the partial differential equation satisfied by the stream function may to first order be replaced by an ordinary differential one whose variable is the label of the streamlines. The last equation admits different representations by taking as main quantity the stream function, the density, or the velocity. Several important phenomena may be identified in this approximation: the transition from subsonic to supersonic flow when crossing the sonic line, the jump back to subsonic in a shock, and the dependence of these possibilities on the initial value of the density. General considerations are supplemented by the specific example of the hyperbolic nozzle. [ABSTRACT FROM AUTHOR]
Copyright of ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik is the property of Wiley-Blackwell 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
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Header DbId: egs
DbLabel: Engineering Source
An: 188298262
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: <searchLink fieldCode="DE" term="%22Transonic+flow%22">Transonic flow</searchLink><br /><searchLink fieldCode="DE" term="%22Supersonic+flow%22">Supersonic flow</searchLink><br /><searchLink fieldCode="DE" term="%22Ordinary+differential+equations%22">Ordinary differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Laminar+flow%22">Laminar flow</searchLink><br /><searchLink fieldCode="DE" term="%22Nozzles%22">Nozzles</searchLink><br /><searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Subsonic+flow%22">Subsonic flow</searchLink><br /><searchLink fieldCode="DE" term="%22Incompressible+flow%22">Incompressible flow</searchLink>
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  Data: When the streamlines of a transonic flow may be approximated by those of an incompressible one, the partial differential equation satisfied by the stream function may to first order be replaced by an ordinary differential one whose variable is the label of the streamlines. The last equation admits different representations by taking as main quantity the stream function, the density, or the velocity. Several important phenomena may be identified in this approximation: the transition from subsonic to supersonic flow when crossing the sonic line, the jump back to subsonic in a shock, and the dependence of these possibilities on the initial value of the density. General considerations are supplemented by the specific example of the hyperbolic nozzle. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik is the property of Wiley-Blackwell 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:
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      – Type: doi
        Value: 10.1002/zamm.70223
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 9
        StartPage: 1
    Subjects:
      – SubjectFull: Transonic flow
        Type: general
      – SubjectFull: Supersonic flow
        Type: general
      – SubjectFull: Ordinary differential equations
        Type: general
      – SubjectFull: Laminar flow
        Type: general
      – SubjectFull: Nozzles
        Type: general
      – SubjectFull: Partial differential equations
        Type: general
      – SubjectFull: Subsonic flow
        Type: general
      – SubjectFull: Incompressible flow
        Type: general
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      – TitleFull: Transonic flows with approximate streamlines.
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            NameFull: Núñez, Manuel
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          Dates:
            – D: 01
              M: 09
              Text: Sep2025
              Type: published
              Y: 2025
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              Value: 00442267
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              Value: 105
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              Value: 9
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            – TitleFull: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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