Geodesic
On minimization of cavitational resistance of hydroprofile
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2015), pp. 80-86 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper, for profiles flowed according to the Helmholtz–Kirchhoff scheme with infinite cavern, we investigate values of coefficients of levitation force and of resistance related to a length of washed part of the profile. Under given value of coefficient of levitation force and additional restrictions from above and below on a distribution of a speed on a surface of a profile we find global minimum of coefficient of resistance.
Keywords: extremal problem, ideal fluid, Helmholtz–Kirchhoff scheme, cavitation flow. 
@article{IVM_2015_11_a7,
     author = {I. R. Kayumov and D. V. Maklakov},
     title = {On minimization of cavitational resistance of hydroprofile},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {80--86},
     year = {2015},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_11_a7/}
}
TY  - JOUR
AU  - I. R. Kayumov
AU  - D. V. Maklakov
TI  - On minimization of cavitational resistance of hydroprofile
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2015
SP  - 80
EP  - 86
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/IVM_2015_11_a7/
LA  - ru
ID  - IVM_2015_11_a7
ER  - 
%0 Journal Article
%A I. R. Kayumov
%A D. V. Maklakov
%T On minimization of cavitational resistance of hydroprofile
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2015
%P 80-86
%N 11
%U http://geodesic.mathdoc.fr/item/IVM_2015_11_a7/
%G ru
%F IVM_2015_11_a7
I. R. Kayumov; D. V. Maklakov. On minimization of cavitational resistance of hydroprofile. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2015), pp. 80-86. http://geodesic.mathdoc.fr/item/IVM_2015_11_a7/

[1] Maklakov D. V., Kayumov I. R., “Ob odnoi nelineinoi variatsionnoi probleme teorii kavitiruyuschikh profilei”, Izv. vuzov. Matem., 2012, no. 12, 90–96 | MR | Zbl

[2] Maklakov D. V., Kayumov I. R., “Exact bounds for lift-to-drag ratios of profiles in the Helmholtz–Kirchhoff flow”, European J. Appl. Math., 25:2 (2014), 231–254 | DOI | MR | Zbl

[3] Maklakov D. V., “Analog teoremy Kutta–Zhukovskogo pri obtekanii profilya s otryvom strui”, Dokl. RAN, 441:2 (2011), 187–190 | MR

[4] Maklakov D. V., “On the lift and drag of cavitating profiles and the maximum lift and drag”, J. Fluid Mech., 687 (2011), 360–375 | DOI | MR | Zbl

[5] Maklakov D. V., “O maksimume soprotivleniya krivolineinogo prepyatstviya, obtekaemogo s otryvom strui”, DAN SSSR, 208:3 (1988), 574–577 | MR

[6] Maklakov D. V., Uglov A. N., “On the maximum drag of a curved plate in flow with a wake”, European J. Appl. Math., 6:5 (1995), 517–527 | DOI | MR | Zbl

[7] Maklakov D. V., “A note on the optimum profile of a sprayless planing surface”, J. Fluid Mech., 384 (1999), 281–292 | DOI | Zbl

[8] Maklakov D. V., “Some remarks on the exact solution for an optimal impermeable parachute problem”, J. Comput. and Appl. Math., 166:2 (2004), 591–596 | DOI | MR | Zbl

[9] Maklakov D. V., “On deflectors of optimum shape”, J. Fluid Mech., 540 (2005), 175–187 | DOI | MR | Zbl

[10] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1989 | MR