Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-06T06:25:09.059Z Has data issue: false hasContentIssue false
  • English
  • Français

Integral force acting on a body due to local flow structures

Published online by Cambridge University Press:  28 March 2007

J.-Z. WU ,
X.-Y. LU  and
L.-X. ZHUANG
J.-Z. WU*
Affiliation:
State Key Laboratory for Turbulence and Complex System, Peking University, Beijing, China University of Tennessee Space Institute, Tullahoma, TN 37388, USA
X.-Y. LU
Affiliation:
University of Science and Technology of China, Hefei, Anhui 230026, China
L.-X. ZHUANG
Affiliation:
University of Science and Technology of China, Hefei, Anhui 230026, China
*
†Author to whom correspondence should be addressed: [email protected], [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

The forces exerted on a body moving through a fluid depend strongly on the local dynamic processes and structures generated by the body motion, such as flow separation, vortices, etc. A detailed and quantitative understanding of the effects of these processes and structures on the instantaneous overall force characteristics is of fundamental significance, and may improve our capabilities for flow analysis and control. In the present study, some unconventional force expressions based on ‘derivative-moment transformations’, which can have a rich variety of forms for the same flow field, are used to provide better insight into local dynamics. In particular, we apply jointly three alternative unconventional force expressions to analyse two numerical solutions of unsteady and viscous circular-cylinder flows. The results confirm the exactness of the expressions and, more importantly, provide a unified understanding of the specific influence on the force of each individual flow structure at its different evolution stages.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 576 , 10 April 2007 , pp. 265 - 286
Copyright
Copyright © Cambridge University Press 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.Google Scholar
Birch, J. M. & Dickinson, M. H. 2003 The influence of wing-wake interactions on the production of aerodynamic forces in flapping flight. J. Expl Biol. 206, 2257–2272.CrossRefGoogle ScholarPubMed
Graziani, G. & Bassanini, P. 2002 Unsteady viscous flows about bodies: Vorticity release and forces. Meccanica 37, 283–303.CrossRefGoogle Scholar
Green, R. B. & Gerrard, J. H. 1993 Vorticity measurements in the near wake of a circular cylinder at low Reynolds numbers. J. Fluid Mech. 246, 675–691.CrossRefGoogle Scholar
Guo, M., Li, Q., Hou, A., & Yuan, W. 2006 A diagnosis and design approach of axial compressor based on local dynamics. ASME Turbo Expo. 2006: Power for Land, Sea and Air, May 8–11, 2006, Barcelona, Spain. GT2006-91116.Google Scholar
Hall, P. 1984 On the stability of the unsteady boundary layer on a cylinder oscillating transversely in a viscous fluid. J. Fluid Mech. 146, 347–367.CrossRefGoogle Scholar
Honji, H. 1981 Streaked flow around an oscillating circular cylinder. J. Fluid Mech. 107, 509–520.CrossRefGoogle Scholar
Jeon, D. & Gharib, M. 2001 On circular cylinders undergoing two-degree-freedom forced motions. J. Fluids Struct. 15, 533–541.CrossRefGoogle Scholar
Koumoutsakos, P. & Leonard, A. 1995 High-resolution simulations of the flow around an impulsively started cylinder using vortex method. J. Fluid Mech., 296: 1–38.CrossRefGoogle Scholar
Lamb, H. 1932 Hydrodynamics. Dover.Google Scholar
Li, Q. S. & Guo, M. 2005 The diagnosis and design of a low-speed compressor based on local dynamics. Prog. Natural Sci. 15, 221–228.Google Scholar
Lighthill, M. J. 1986 An Informal Introduction to Theoretical Fluid Dynamics. Oxford University Press.Google Scholar
Lu, X. Y. & Dalton, C. 1996 Calculation of the timing of vortex formation from an oscillating cylinder. J. Fluids Struct. 10, 527–541.CrossRefGoogle Scholar
Lu, X. Y. & Ling, G. C. 2003 Three-dimensional instability of an oscillating viscous flow past a circular cylinder. Appl. Math. Mech. 24, 791–800.Google Scholar
Mittal, S. & Singh, S. 2005 Vortex-induced vibrations at subcritical Re. J. Fluid Mech. 534, 185–194.CrossRefGoogle Scholar
Noca, F., Shiels, D. & Jeon, D. 1999 A comparison of methods for evaluating time-dependent fluid dynamic forces on bodies, using only velocity fields and their derivatives. J. Fluids Struct. 13, 551–578.CrossRefGoogle Scholar
Ploumhans, P., Winckelmans, G. S., Salmon, J. K., Leonard, A. & Warren, M. S. 2002 Vortex methods for direct numerical simulation of three-dimensional bluff body flows: Application to the sphere at Re = 300, 500, and 1000. J. Comput. Phys. 178, 427–463.CrossRefGoogle Scholar
Rai, M. M. & Moin, P. 1991 Direct simulations of turbulent flow using finite-difference schemes. J. Comput. Phys. 96, 15–53.Google Scholar
Saffman, P. G. 1992 Vortex Dynamics. Cambridge University Press.Google Scholar
Sarpkaya, T. 1986 Force on a circular cylinder in viscous oscillatory flow at low Keulegan-Carpenter numbers. J. Fluid Mech. 165, 61–71.CrossRefGoogle Scholar
Tan, B. T., Thompson, M. C. & Hourigan, K. 2005 Evaluating fluid forces on bluff bodies using partial velocity data. J. Fluids Struct. 20, 5–24.CrossRefGoogle Scholar
Thomson, J. J. 1883 A Treatise on the Motion of Vortex Rings. Macmillan, London.Google Scholar
Truesdell, C. 1954 The Kinematics of Vorticity. Indiana University Press.Google Scholar
Wu, J. C. 1981 Theory for aerodynamic force and moment in viscous flows. AIAA J. 19, 432–441.CrossRefGoogle Scholar
Wu, J. C. 2005 Elements of Vorticity Aerodynamics. Tsinghua University Press, Beijing.Google Scholar
Wu, J. Z., Ma, H. Y & Zhou, M. D. 2006 Vorticity and Vortex Dynamics}. Springer (referred to herein as WMZ).CrossRefGoogle Scholar
Wu, J. Z., Pan, Z. L. & Lu, X. Y. 2005 Unsteady fluid-dynamic force solely in terms of control-surface integral. Phys. Fluids 17, 098102.CrossRefGoogle Scholar
Wu, J. Z., Roach, R. L., Lo, C. F., Zhu, F. L., Dowgwillo, R. M., Jiang, L. B. & Tramel, R. W. 1999 Aerodynamic diagnostics and design based on boundary vorticity dynamics. AIAA Paper 99-3103.CrossRefGoogle Scholar
Wu, J. Z. & Wu, J. M. 1993 Interactions between a solid surface and a viscous compressible flow field. J. Fluid Mech. 254, 183–211.CrossRefGoogle Scholar
Wu, J. Z. & Wu, J. M. 1996 Vorticity dynamics on boundaries. Adv. Appl. Mech. 32, 119–275.CrossRefGoogle Scholar
Zhang, J. F. & Dalton, C. 1999 {The onset of three-dimensionality in an oscillating flow past a fixed circular cylinder. Intl. J. Numer. Meth. Fluids 30, 19–42.3.0.CO;2-#>CrossRefGoogle Scholar
Zhu, F. L. 2000 Applications of boundary vorticity dynamics to flow simulation, airfoil design, and flow control. PhD Dissertation, University of Tennessee, Knoxville.Google Scholar
Zhu, G., Bearman, P. W. & Graham, J. M. R. 2002 {Prediction of drag and lift using velocity and vorticity fields}. Aero. J. 106, 547–554.CrossRefGoogle Scholar