The motion of solids in inviscid uniform vortical fields

Journal of Fluid Mechanics

Volumn 479, Issue , 2003, Pages 287-305

  Miloh, T ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); HYDRODYNAMICS; INCOMPRESSIBLE FLOW; SHEAR FLOW; TENSORS; VORTEX FLOW;

INCOMPRESSIBLE FLUIDS;

FLUID MECHANICS;

EQUATION; FLUID DYNAMICS; FLUID MECHANICS; HYDRODYNAMICS; INVISCID FLUID; MATHEMATICAL ANALYSIS; MULTIPHASE FLOW; VORTEX;

EID: 0037466041     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211200200352X     Document Type: Article

References (23)

1. AUTON, T. R. 1987 The lift force on a spherical body in rotational flow. J. Fluid Mech. 183, 199-218.
2. AUTON, T. R., HUNT, J. C. R. & PRUD'HOMME, M. 1988 The force exerted on a body moving in an inviscid unsteady non-uniform rotational flow. J. Fluid Mech. 197, 241-257.
3. BATCHELOR, G. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
4. CHANG, C. C. & LEI, S. Y. 1996 An analysis of aerodynamic forces on a delta wing. J. Fluid Mech. 316, 173-196.
5. FENG, Z. C. & LEAL, L. G. 1997 Nonlinear bubble dynamics. Annu. Rev. Fluid Mech. 29, 201-245.
6. GALPER, A. E. & MILOH, T. 1994 Generalized Kirchhoff equations for a deformable body moving in a weakly non-uniform flow field. Proc. R. Lond. A 446, 169-193.
7. GALPER, A. E. & MILOH, T. 1995 Dynamic equations of motion of a rigid or deformable body in an arbitrary potential non-uniform flow field. J. Fluid Mech. 295, 91-120.
8. HOWE, M. S. 1995 On the force and moment on a body in an incompressible fluid, with application to rigid bodies and bubbles at high and low Reynolds numbers. Q. J. Mech. Appl. Maths 48, 401-426.
9. KOCHIN, N. E., KIBEL, I. A. & ROZE, N. V. 1965 Theoretical Hydrodynamics. John Wiley.
10. LAMB, H. 1932 Hydrodynamics. Cambridge University Press.
11. LANDWEBER, L. & MILOH, T. 1980 Unsteady Lagally theorem for multipoles and deformable bodies. J. Fluid Mech. 96, 33-46.
12. LEGENDRE, D. & MAGNAUDET, J. 1988 The lift force on a spherical bubble in a viscous linear shear flow. J. Fluid Mech. 368, 81-126.
13. LIGHTHILL, J. 1956 Drift. J. Fluid Mech. 1, 31-53.
14. MAGNAUDET, J. & EAMES, I. 2000 The motion of high Reynolds number bubbles in inhomogeneous flows. Annu. Rev. Fluid Mech. 32, 659-708.
15. MAJDA, A. J. & BERTOZZI, A. L. 2002 Vorticity and Incompressible Flow, Cambridge University Press.
16. MILOH, T. 1994 Pressure forces on deformable bodies in non-uniform inviscid flows. Q. J. Mech. Appl. Maths 47, 635-661.
17. MORENO-INSERETES, F., FERRIZ-MAS, A. & SCHUSSKER, M. 1994 Forces on magnetic flux tubes moving in inhomogeneous flows. Astrophys. J. 422, 452-658.
18. NOCA, F., SHIELDS, D. & JEON, D. 1999 A comparison of methods for evaluating time-dependent fluid dynamic forces on bodies, using only velocity fields and their derivation. J. Fluid Struct. 13, 551-578.
19. PROUDMAN, J. 1916 On the motion of solids in liquid possessing vorticity. Proc. R. Soc. Lond. A 92, 408-424.
20. RIFE, J., HE, J., SONG, Y. & WALLIS, G. B. 1997 Measurements of the drift force. Nucl. Engng 175, 71-76.
21. QUARTERPELLE, L. & NAPOLITANO, M. 1982 Force and moment in incompressible flows. AIAA J. 21, 911-913.
22. SAFFMAN, P. G. 1992 Vortex Dynamics. Cambridge University Press.
23. WELLS, J. C. 1998 Calculating the impulse and angular impulse of image vorticity by integrals over free vorticity. Proc. R. Soc. Lond. A 454, 2791-2809.