Hostname: page-component-76fb5796d-x4r87 Total loading time: 0 Render date: 2024-04-27T18:17:09.149Z Has data issue: false hasContentIssue false
  • English
  • Français

On the maximum drag of a curved plate in flow with a wake

Published online by Cambridge University Press:  26 September 2008

D. V. Maklakov  and
A. N. Uglov
D. V. Maklakov
Affiliation:
Chebotarev Institute of Mathematics and Mechanics, Kazan State University, Universitetskaya Str. 17, Kazan, Tatarstan, Russia 420008
A. N. Uglov
Affiliation:
Chebotarev Institute of Mathematics and Mechanics, Kazan State University, Universitetskaya Str. 17, Kazan, Tatarstan, Russia 420008
Get access Rights & Permissions [Opens in a new window]

Abstract

In this work exact upper bounds of the drag force are found for curved plates of fixed total arc-length in flow with a wake, which forms according to the Joukowsky-Roshko-Eppler model. The shapes of maximum drag are determined in an explicit analytical form and can be interpreted as those of ideal parachutes.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 6 , Issue 5 , October 1995 , pp. 517 - 527
Copyright
Copyright © Cambridge University Press 1995

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Birkhoff, G. & Zarantonello, E. 1957 Jets, wakes and cavities. Academic Press. New York.Google Scholar
[2]Eppler, R. 1954 Beiträge zu Theorie und Anwendung der unstetigen strömungen. J. Rat. Mech. Anal. 3, 591–644.Google Scholar
[3]Gilbarg, D. 1960 Jets and cavities. In Encyclopedia of Physics, Vol 9, Springer-Verlag. Berlin.Google Scholar
[4]Gurevich, M. I. 1965 Theory of Jets in an Ideal Fluid. Academic Press. New York.Google Scholar
[5]Hardy, G., Littlewood, J. & Polya, G. 1934 Inequalities. Cambridge University Press.Google Scholar
[6]Jukowsky, N. 1890 A modification of Kirchhof's method of determining two-dimensional motions of a fluid given constant velocity along an unknown streamline. Mat. Sbornik 15. (Also in Coll. Works 3 303 (in Russian).)Google Scholar
[7]Lavrentieff, M. 1938 Sur certaines propriétés des functions univalentes et leurs application à la théories des sillages. Mat. Sbornik 46, 391–458.Google Scholar
[8]Maklakov, D. V. 1988 On the maximum drag of a curved obstacle in a flow with detachment of jets. Dokl. Akad. Nauk SSSR 298(3), 574–77 (in Russian).Google Scholar
[9]Prudnikov, A. P., Brychkov, Yu. A. & Marichev, O. 1988 Integrals and Series, Vol. 3: More special functions. Transl. from Russian by Gould, G. G.. Gordon and Breach. New York.Google Scholar
[10]Roshko, A. 1954 A new hodograph for free streamline theory. NACA Tech. Note 3168.Google Scholar
[11]Roshko, A. 1955 On the wake and drag of bluff bodies. J. Aeronautical Sci. 22(2), 124–32.CrossRefGoogle Scholar
[12]Serrin, J. 1953 On plane and axially symmetric free boundary problems, J. Rat. Mech. Anal. 2, 563–75.Google Scholar
[13]Whitney, A. K. 1972 Theory of optimum shapes in free-surface flows. Part 2: Minimum drag profiles in infinite cavity flow. J. Fluid. Mech. 55, 457–72.CrossRefGoogle Scholar
[14]Wu, T. Y. & Whitney, A. K. 1972 Theory of optimum shapes in free-surface flows. Part 1: Optimum profile on sprayless planing surface. J. Fluid. Mech. 55, 439–55.CrossRefGoogle Scholar