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      Effect of hydrodynamic interaction on the motion of a rotating body

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          Abstract

          The hydrodynamic interaction between two bodies with rotational motion through an inviscid and incompressible fluid is investigated theoretically. The dynamical behavior of an elliptic cylinder moving around a fixed circular cylinder is described first based on the dynamical equations of motion in the plane of motion. In a relative coordinate system moving with the stream, the kinetic energy of the fluid is expressed as a function of fifteen generalized added masses due to the planar motion of the two cylinders. By means of the generalized added masses, the planar motion of an elliptic cylinder around a fixed circular cylinder can be computed without considering the flow field. The trajectories of an elliptic cylinder around a fixed circular cylinder in planar motion are obtained and the effects of non-circularity, initial position and initial velocity on the interaction between two cylinders are discussed. Similarly, the planar motion of a prolate spheroid around a sphere is investigated. The numerical results show explicitly that the dynamical behaviors of the moving bodies with rotational motion appear nonlinear. Their moving properties exhibit significant difference from those in the particle dynamics.

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          Theoretical Hydrodynamics

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            Hydrodynamics

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              Hydrodynamic interaction between a slightly distorted sphere and a fixed sphere

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                Author and article information

                Journal
                jbsmse
                Journal of the Brazilian Society of Mechanical Sciences and Engineering
                J. Braz. Soc. Mech. Sci. & Eng.
                Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM (Rio de Janeiro, RJ, Brazil )
                1678-5878
                1806-3691
                December 2004
                : 26
                : 4
                : 349-354
                Affiliations
                [01] orgnameUniversity of Hong Kong orgdiv1Department of Mechanical Engineering Hong Kong
                Article
                S1678-58782004000400001 S1678-5878(04)02600401
                10.1590/S1678-58782004000400001
                c6a0db0a-1d22-436d-930a-5276dc6bf69d

                This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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                Page count
                Figures: 0, Tables: 0, Equations: 0, References: 29, Pages: 6
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                SciELO Brazil

                Categories
                Technical Papers

                two-body system,Interaction hydrodynamics,added masses,Lagrange equations of motion,potential flow,rotating body

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