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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 6, Pages 16–26 (Mi pmtf1834)  
This article is cited in 2 scientific papers (total in 2 papers)

Determining the shape of an axisymmetric body in a viscous incompressible flow on the basis of the pressure distribution on the body surface

S. A. Solovyov

Chebotarev Institute of Mathematics and Mechanics, Kazan’ State University, Kazan’, 420008, Russia
Full-text PDF (282 kB) Citations (2)
Abstract: A method is developed for determining the shape of an axisymmetric body on the basis of the pressure coefficient distribution specified along the meridional section of the body. Viscosity is taken into account within the framework of the boundary layer model. The method is based on an iterative process, which involves the solutions of the inverse problem in the plane case and of the direct problem for an axisymmetric body. A code implementing the iterative process is written, and examples of numerical results are given.
Keywords: inverse boundary-value problem of aerohydrodynamics, viscous incompressible fluid, boundary layer, axisymmetric body, iterative process, panel method.
Received: 09.07.2008
Accepted: 03.12.2008
English version:
Journal of Applied Mechanics and Technical Physics, 2009, Volume 50, Issue 6, Pages 927–935
DOI: https://doi.org/10.1007/s10808-009-0126-7
Bibliographic databases:
Document Type: Article
UDC: 532.5.032 : 533.696.5 : 517.54
Language: Russian
Citation: S. A. Solovyov, “Determining the shape of an axisymmetric body in a viscous incompressible flow on the basis of the pressure distribution on the body surface”, Prikl. Mekh. Tekh. Fiz., 50:6 (2009), 16–26; J. Appl. Mech. Tech. Phys., 50:6 (2009), 927–935
Citation in format AMSBIB
\Bibitem{Sol09}
\by S.~A.~Solovyov
\paper Determining the shape of an axisymmetric body in a viscous incompressible flow on the basis of the pressure distribution on the body surface
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 6
\pages 16--26
\mathnet{http://mi.mathnet.ru/pmtf1834}
\elib{https://elibrary.ru/item.asp?id=16227833}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 6
\pages 927--935
\crossref{https://doi.org/10.1007/s10808-009-0126-7}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1834
  • https://www.mathnet.ru/eng/pmtf/v50/i6/p16
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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