Determination of hydrodynamic forces acting on the body in an unsteady viscous flow using characteristics of the flow on the control surface

A.N. Nuriev^a∗ , A.M. Kamalutdinov^b∗∗ , O.N. Zaitseva^a∗∗∗

^aKazan Federal University, Kazan, 420008 Russia

^bKazan National Research Technical University named after A.N. Tupolev – KAI, Kazan, 420111 Russia

E-mail: ^∗Artem.Nuriev@kpfu.ru, ^∗∗amkamalutdinov@mail.ru, ^∗∗∗olgafdpi@mail.ru

Received August 10, 2022

ORIGINAL ARTICLE

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DOI: 10.26907/2541-7746.2022.4.302-315

For citation: Nuriev A.N., Kamalutdinov A.M., Zaitseva O.N. Determination of hydrodynamic forces acting on the body in an unsteady viscous flow using characteristics of the flow on the control surface. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2022, vol. 164, no. 4, pp. 302–315. doi: 10.26907/2541-7746.2022.4.302-315. (In Russian)

Abstract

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.

Keywords: hydrodynamic forces, viscous flow, Navier–Stokes equation, unsteady flow past a body, periodic motion

Acknowledgments. This study was supported by the Russian Foundation for Basic Research (project no. 19-38-60023, sect. 1) and the Russian Science Foundation (project no. 22-79-10033, sect. 2–4).

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