Summary
A derivation of the generalized Lagally theorem for the forces on a body in translational motion in an unsteady inhomogeneous flow field of an inviscid incompressible fluid is given. It is also shown that some well-known results for the forces on spherical bodies can be obtained in a simple way by using this theorem.
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References
L. Landweber and C.S. Yih, Forces, moments and added masses for Rankine bodies, J. Fluid Mech. 1 (1956) 319–336.
L. Landweber and T. Miloh, Unsteady Lagally theorem for multipoles and deformable bodies. J. Fluid Mech. 96 (1980) 33–46.
L. Landweber and T. Miloh, Corrigendum to “Unsteady Lagally theorem for multipoles and deformable bodies”, J. Fluid Mech. 112 (1981) 502.
L.van Wijngaarden, On the motion of gas bubbles in a perfect liquid. Arch. Mech. 34 (1982) 343–349.
L.van Wijngaarden, Hydrodynamic interaction between gas bubbles in liquid. J. Fluid Mech. 77 (1976) 27–44.
G.I. Taylor, The forces on a body in a curved or converging stream of fluid. Proc. R. Soc. Lond. A70 (1928) 260–283.
O.V. Voinov, Force acting on a sphere in an inhomogeneous flow of an incompressible fluid. J. Appl. Mech. Tech. Phys. 14 (1973) 592–594.
Yu.L. Yakimov, Forces acting on a small body in a flowing incompressible liquid and equations of motion of a two-phase medium. Fluid Dynamics 8 (1973) 411–418.
A. Biesheuvel and L.van Wijngaarden, Two-phase flow equations for a dilute dispersion of gas bubbles in liquid. J. Fluid Mech. 148 (1984) 301–318.
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Biesheuvel, A. A note on the generalized Lagally theorem. J Eng Math 19, 69–77 (1985). https://doi.org/10.1007/BF00055042
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DOI: https://doi.org/10.1007/BF00055042