Geodesic
Determination of hydrodynamic forces acting on the body in an unsteady viscous flow using characteristics of the flow on the control surface
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 164 (2022) no. 4, pp. 302-315

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This article considers the problem of determining the hydrodynamic forces acting on the body in an unsteady flow on a distant control surface. General formulas for calculating hydrodynamic forces in the three- and two-dimensional cases were derived. The structure of these formulas was analyzed, and, based on several problems, the values of their main terms were obtained. Using the approach presented here, a study of the hydrodynamic influence on the cylindrical body of arbitrary cross-sectional shape in an oscillatory flow was carried out. Its results were used to identify universal dependences of the hydrodynamic forces on oscillation parameters.
Mots-clés : hydrodynamic forces
Keywords: viscous flow, Navier–Stokes equation, unsteady flow past a body, periodic motion. 
@article{UZKU_2022_164_4_a2,
     author = {A. N. Nuriev and A. M. Kamalutdinov and O. N. Zaitseva},
     title = {Determination of hydrodynamic forces acting on the body in an unsteady viscous flow using characteristics of the flow on the control surface},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {302--315},
     publisher = {mathdoc},
     volume = {164},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2022_164_4_a2/}
}
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A. N. Nuriev; A. M. Kamalutdinov; O. N. Zaitseva. Determination of hydrodynamic forces acting on the body in an unsteady viscous flow using characteristics of the flow on the control surface. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 164 (2022) no. 4, pp. 302-315. http://geodesic.mathdoc.fr/item/UZKU_2022_164_4_a2/