The force exerted on a body in inviscid unsteady non-uniform rotational flow
作者： T. R. Auton , J. C. R. Hunt , M. Prud'Homme
DOI: 10.1017/S0022112088003246
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摘要: A general expression is derived for the fluid force on a body of simple shape moving with velocity v through inviscid in which there an unsteady non-uniform rotational field uo(x,t) two or three dimensions. It assumed that radius small compared scale over strain rate changes, though sphere it also changes ambient are relative to flow. Given these approximations shown effects change vorticity flow second order and can be neglected. However irrotational straining motion included analysis. inertial forces by many authors simply added generalization lift Auton (1987) companion paper. how this made up added-mass component. For three-dimensional bluff bodies latter generally larger (by factor sphere), calculated from coefficient. illustration, used derive formulae (i) spherical bubble steady contrast flow, (ii) rigid volumes neutral density across shear These results show (and lift) lead different motions cylinder. The useful two-phase calculations, indicating 'lumps fluid' turbulent flows.
cpom.org参考文章(14)
Walter Tollmien, Hermann Schlichting, Henry Görtler, F. W. Riegels, Über die ausgebildete Turbulenz Ludwig Prandtl Gesammelte Abhandlungen. pp. 736- 751 ,(1961) , 10.1007/978-3-662-11836-8_60
J.C.R. Hunt, Vorticity and vortex dynamics in complex turbulent flows Transactions of The Canadian Society for Mechanical Engineering. ,vol. 11, pp. 21- 35 ,(1987) , 10.1139/TCSME-1987-0004
L. Landweber, T. Miloh, Unsteady Lagally theorem for multipoles and deformable bodies Journal of Fluid Mechanics. ,vol. 96, pp. 33- 46 ,(1980) , 10.1017/S0022112080002005
Steven W. Beyerlein, Rainer K. Cossmann, Horst.J. Richter, Prediction of bubble concentration profiles in vertical turbulent two-phase flow International Journal of Multiphase Flow. ,vol. 11, pp. 629- 641 ,(1985) , 10.1016/0301-9322(85)90083-7
V.V. Voinov, O.V. Voinov, A.G. Petrov, Hydrodynamic interaction between bodies in a perfect incompressible fluid and their motion in nonuniform streams: PMM vol. 37, n≗4, 1973, pp. 680–689 Journal of Applied Mathematics and Mechanics. ,vol. 37, pp. 642- 651 ,(1973) , 10.1016/0021-8928(73)90114-7
R Kowe, J.C.R Hunt, A Hunt, B Couet, L.J.S Bradbury, The effects of bubbles on the volume fluxes and the pressure gradients in unsteady and non-uniform flow of liquids International Journal of Multiphase Flow. ,vol. 14, pp. 587- 606 ,(1988) , 10.1016/0301-9322(88)90060-2
M. J. Lighthill, The image system of a vortex element in a rigid sphere Mathematical Proceedings of the Cambridge Philosophical Society. ,vol. 52, pp. 317- 321 ,(1956) , 10.1017/S0305004100031297
T. R. Auton, The lift force on a spherical body in a rotational flow Journal of Fluid Mechanics. ,vol. 183, pp. 199- 218 ,(1987) , 10.1017/S002211208700260X
The Forces on a Body Placed in a Curved or Converging Stream of Fluid Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 120, pp. 260- 283 ,(1928) , 10.1098/RSPA.1928.0148
George Keith Batchelor, An Introduction to Fluid Dynamics ,(1967)