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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     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},
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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/

[1] Wu J.C., “Theory for aerodynamic force and moment in viscous flows”, AIAA J., 19:4 (1981), 432–441 | DOI | Zbl

[2] Dynnikova G.Ya., “Forces exerted on a body in an unsteady vortex separation flow of an ideal incompressible fluid”, Fluid Dyn., 36:2 (2001), 285–295 | DOI | MR | Zbl

[3] Dynnikova G.Ya., Andronov P.R., “Expressions of force and moment exerted on a body in a viscous flow via the flux of vorticity generated on its surface”, Eur. J. Mech. B/Fluids, 72 (2018), 293–300 | DOI | MR | Zbl

[4] Chang Ch.-C., Yang Sh.-H., Chu Ch.-Ch., “A many-body force decomposition with applications to flow about bluff bodies”, J. Fluid Mech., 600 (2008), 95–104 | DOI | MR | Zbl

[5] Chin D.D., Lentink D., “Fluid moment and force measurement based on control surface integration”, Exp. Fluids, 61 (2020), 18, 1–19 | DOI

[6] Noca F., On the evaluation of time-dependent fluid-dynamic forces on bluff bodies, Ph.D. Thesis, Calif. Inst. Technol., Pasadena, 1997, xiv+157 pp. https://resolver.caltech.edu/CaltechETD:etd-08102005-132659 | DOI

[7] Shrestha B., Ahsan S.N., Aureli M., “Experimental study of oscillating plates in viscous fluids: Qualitative and quantitative analysis of the flow physics and hydrodynamic forces”, Phys. Fluids, 30:1 (2018), 013102, 1–16 | DOI | MR

[8] Wang C.-Y., “On high-frequency oscillatory viscous flows”, J. Fluid Mech., 32:1 (1968), 55–68 | DOI | Zbl

[9] Nuriev A.N., Egorov A.G., “Asymptotic investigation of hydrodynamic forces acting on an oscillating cylinder at finite streaming Reynolds numbers”, Lobachevskii J. Math., 40:6 (2019), 794–801 | DOI | MR | Zbl

[10] Nuriev A.N., Egorov A.G., Kamalutdinov A.M., “Hydrodynamic forces acting on the elliptic cylinder performing high-frequency low-amplitude multi-harmonic oscillations in a viscous fluid”, J. Fluid Mech., 913 (2021), A40, 1–27 | DOI | MR

[11] Saffman P.G., Vortex Dynamics, Cambridge Univ. Press, Cambridge, 1993, 312 pp. | DOI | MR

[12] Batchelor G.K., An Introduction to Fluid Dynamics, Mir, M., 1973, 768 pp. (In Russian)