IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v169y2016i1d10.1007_s10957-015-0849-y.html
   My bibliography  Save this article

Minimum Induced Drag Theorems for Joined Wings, Closed Systems, and Generic Biwings: Theory

Author

Listed:
  • Luciano Demasi

    (San Diego State University)

  • Giovanni Monegato

    (Politecnico di Torino)

  • Antonio Dipace

    (Università di Pisa)

  • Rauno Cavallaro

    (San Diego State University
    University of California San Diego)

Abstract

An analytical formulation for the induced drag minimization of closed wing systems is presented. The method is based on a variational approach, which leads to the Euler–Lagrange integral equation in the unknown circulation distribution. It is shown for the first time that the augmented Munk’s minimum induced drag theorem, formulated in the past for open single-wing systems, is also applicable to closed systems, joined wings and generic biwings. The quasi-closed C-wing minimum induced drag conjecture discussed in the literature is addressed. Using the variational procedure presented in this work, it is also shown that in a general biwing, under optimal conditions, the aerodynamic efficiency of each wing is equal to the aerodynamic efficiency of the entire wing system (biwing’s minimum induced drag theorem). This theorem holds even if the two wings are not identical and present different shapes and wingspans; an interesting direct consequence of the theorem is discussed. It is then verified (but yet not demonstrated) that in a closed path, the minimum induced drag of the biwing is identical to the optimal induced drag of the corresponding closed system (closed system’s biwing limit theorem). Finally, the nonuniqueness of the optimal circulation for a closed wing system is rigorously addressed, and direct implications in the design of joined wings are discussed.

Suggested Citation

  • Luciano Demasi & Giovanni Monegato & Antonio Dipace & Rauno Cavallaro, 2016. "Minimum Induced Drag Theorems for Joined Wings, Closed Systems, and Generic Biwings: Theory," Journal of Optimization Theory and Applications, Springer, vol. 169(1), pages 200-235, April.
    • Handle: RePEc:spr:joptap:v:169:y:2016:i:1:d:10.1007_s10957-015-0849-y
    DOI: 10.1007/s10957-015-0849-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-015-0849-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-015-0849-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Giuseppe Buttazzo & Aldo Frediani, 2009. "Variational Analysis and Aerospace Engineering," Springer Optimization and Its Applications, Springer, number 978-0-387-95857-6, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Cezary Galinski & Mateusz Lis & Jaroslaw Hajduk, 2017. "Electric Propulsion Concepts for an Inverted Joined Wing Airplane Demonstrator," Energies, MDPI, vol. 10(6), pages 1-21, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Luciano Demasi & Giovanni Monegato & Emanuele Rizzo & Rauno Cavallaro & Antonio Dipace, 2016. "Minimum Induced Drag Theorems for Joined Wings, Closed Systems, and Generic Biwings: Applications," Journal of Optimization Theory and Applications, Springer, vol. 169(1), pages 236-261, April.
    2. A. Miele & T. Wang & J. A. Mathwig & M. Ciarcià, 2010. "Collision Avoidance for an Aircraft in Abort Landing: Trajectory Optimization and Guidance," Journal of Optimization Theory and Applications, Springer, vol. 146(2), pages 233-254, August.
    3. Andrea Luca Tasca & Vittorio Cipolla & Karim Abu Salem & Monica Puccini, 2021. "Innovative Box-Wing Aircraft: Emissions and Climate Change," Sustainability, MDPI, vol. 13(6), pages 1-25, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:169:y:2016:i:1:d:10.1007_s10957-015-0849-y. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.