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Potential flow round a sharp bend: A comparison between conformal mapping and mode matching.

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Title: Potential flow round a sharp bend: A comparison between conformal mapping and mode matching.
Authors: Martin, P. A.1 (AUTHOR)
Source: Quarterly of Applied Mathematics. Mar2026, Vol. 84 Issue 1, p165-179. 15p.
Subjects: Potential flow, Conformal mapping, Waveguides, Fluid dynamics, Numerical calculations
Abstract: Two-dimensional potential flow along a straight-walled duct with a sharp right-angled bend is considered. This problem is solved using two distinct methods, conformal mapping and matched modal expansions. The main purpose of the paper is to compare the two methods: each gives insight into the other. Applications to genuine waveguide problems are expected, when conformal mapping is no longer available. [ABSTRACT FROM AUTHOR]
Copyright of Quarterly of Applied Mathematics is the property of American Mathematical Society 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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  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 189572830
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Potential flow round a sharp bend: A comparison between conformal mapping and mode matching.
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  Data: <searchLink fieldCode="JN" term="%22Quarterly+of+Applied+Mathematics%22">Quarterly of Applied Mathematics</searchLink>. Mar2026, Vol. 84 Issue 1, p165-179. 15p.
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  Data: Two-dimensional potential flow along a straight-walled duct with a sharp right-angled bend is considered. This problem is solved using two distinct methods, conformal mapping and matched modal expansions. The main purpose of the paper is to compare the two methods: each gives insight into the other. Applications to genuine waveguide problems are expected, when conformal mapping is no longer available. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Quarterly of Applied Mathematics is the property of American Mathematical Society 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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        Value: 10.1090/qam/1725
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      – Code: eng
        Text: English
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        PageCount: 15
        StartPage: 165
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      – SubjectFull: Potential flow
        Type: general
      – SubjectFull: Conformal mapping
        Type: general
      – SubjectFull: Waveguides
        Type: general
      – SubjectFull: Fluid dynamics
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      – SubjectFull: Numerical calculations
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      – TitleFull: Potential flow round a sharp bend: A comparison between conformal mapping and mode matching.
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              Text: Mar2026
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              Y: 2026
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