Wind and Structures

Techno-Press (테크노프레스)
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Pressure field of a rotating square plate with application to windborne debris

  • Martinez-Vazquez, P. (School of Civil Engineering, University of Birmingham) ;
  • Kakimpa, B. (Department of Civil Engineering, University of Nottingham) ;
  • Sterling, M. (School of Civil Engineering, University of Birmingham) ;
  • Baker, C.J. (School of Civil Engineering, University of Birmingham) ;
  • Quinn, A.D. (School of Civil Engineering, University of Birmingham) ;
  • Richards, P.J. (Department of Mechanical Engineering, University of Auckland) ;
  • Owen, J.S. (Department of Civil Engineering, University of Nottingham)
  • Received : 2011.01.27
  • Accepted : 2012.02.02
  • Published : 2012.11.25
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Abstract

Traditionally, a quasi steady response concerning the aerodynamic force and moment coefficients acting on a flat plate while 'flying' through the air has been assumed. Such an assumption has enabled the flight paths of windborne debris to be predicted and an indication of its potential damage to be inferred. In order to investigate this assumption in detail, a series of physical and numerical simulations relating to flat plates subject to autorotation has been undertaken. The physical experiments have been carried out using a novel pressure acquisition technique which provides a description of the pressure distribution on a square plate which was allowed to auto-rotate at different speeds by modifying the velocity of the incoming flow. The current work has for the first time, enabled characteristic pressure signals on the surface of an auto-rotating flat plate to be attributed to vortex shedding.

Keywords

References

  1. Andronov, P.R., Grigorenko, D.A., Guvernyuk, S.V. and Dynnikova, G.Y. (2007), "Numerical simulation of plate autorotation in a viscous fluid flow", J. Fluid Dynam., 42(5), 719-731. https://doi.org/10.1134/S0015462807050055
  2. Baker, C.J. (2007), "The debris flight equations", J. Wind Eng. Ind. Aerod., 95(5), 329-353. https://doi.org/10.1016/j.jweia.2006.08.001
  3. Cohen, M.J. (1976), "Aerodynamics of slender rolling wings at incidence in separated flow", AIAA J., 14, 886-893. https://doi.org/10.2514/3.7164
  4. Bustamante, A.G. and Stone, G.W. (1969), "The autorotational characteristics of various shapes for subsonic and hypersonic flows", AIAA J., 69, 132.
  5. Daniels, P. (1970), "A study of the nonlinear rolling motion of a four-finned missile", J. Spacecraft Rockets, 7(5), 510-512. https://doi.org/10.2514/3.29982
  6. Dong, H., Mittal, R. and Najjar, A.M. (2006), "Wake topology and hydrodynamic performance of low-aspectratio flapping foil", J. Fluid Dynam., 566, 309-343.
  7. Dupleich, P. (1941), Rotation in free fall of rectangular wings of elongated shape, N.A.C.A., Tech Memo no. 1201.
  8. ESDU International (1970), Fluid forces and moments on flat plates, Engineering Science Data Unit, Data Item 70015, ESDU International, London, U.K.. Fluent Inc. (2006), ANSYS FLUENT 6.3 Documentation
  9. Glaser, J.C. and Northup, L.L. (1971), Aerodynamic study of autorotating flat plates, Eng. Res. Inst., Iowa State Univ. Ames, Rep. ISU-ERI-Ames 71037.
  10. Holmes, J.D. (1990), "Analysis and synthesis of pressure fluctuations on bluff bodies using eigenvectors", J. Wind Eng. Ind. Aerod., 33(1-2), 219-230. https://doi.org/10.1016/0167-6105(90)90037-D
  11. Holmes, J.D. (2004), "Trajectories of spheres in strong winds with application to windborne debris", J. Wind Eng. Ind. Aerod., 92(1), 9-22. https://doi.org/10.1016/j.jweia.2003.09.031
  12. Holmes, J.D., English, E. and Letchford, C. (2004), Aerodynamic forces and moments on cubes and flat plates, with applications to wind-borne debris, BBAA Conference, Ottawa.
  13. Holmes, J.D., Letchford, C.W. and Lin, N. (2006), "Investigation of plate-type windborne debris - part II. computed trajectories", J. Wind Eng. Ind. Aerod., 94(2), 21-39. https://doi.org/10.1016/j.jweia.2005.10.002
  14. Iversen, J.D. (1979), "Autorotating flat-plate wings: the effect of the moment of inertia, geometry and Reynolds number", J.Fluid Mech., 92(2), 327-348. https://doi.org/10.1017/S0022112079000641
  15. Kakimpa, B., Hargreaves, D.M., Owen, J.S., Martinez-Vazquez, P., Baker, C.J., Sterling, M. and Quinn, A.D. (2010a), "CFD modelling of free-flight and auto-rotation of plate type debris", Wind Struct., 13(2), 169-189. https://doi.org/10.12989/was.2010.13.2.169
  16. Kakimpa, B., Hargreaves, D.M. and Owen, J.S. (2010b), "Aerodynamic characterization of static and autorotating plates using coupled CFD-RBD simulations", Proceedings of the the 5th International Symposium on Computational Wind Engineering, Chapel Hill, North Carolina, USA, May.
  17. Kakimpa, B., Hargreaves, D. and Owen, J. (2010c), "A singularity-free model for 3D windborne debris flight", Proceedings of the 9th UK Conference on Wind Engineering, University of Bristol, Sept.
  18. Kordi, B., Traczuk, G. and Kopp, G. (2010), "Effects of wind direction on the flight trajectories of roof sheathing panels under high winds", Wind Struct., 13( 2), 145-167. https://doi.org/10.12989/was.2010.13.2.145
  19. Lentink, D., Dickson, W.B., van Leeuwen, J.L. and Dickinson, M.H. (2009), "Leading-edge vortices elevate lift of autorotating plant seeds", Science, 324(5933), 1438-1440. https://doi.org/10.1126/science.1174196
  20. Lugt, H.J. (1980), "Autorotation of an elliptic cylinder about an axis perpendicular to the flow", J. Fluid Mech., 99(4), 817-840 https://doi.org/10.1017/S0022112080000924
  21. Lugt, H.J. (1983), "Autorotation", Annu. Rev. Fluid Mech., 15, 123-147. https://doi.org/10.1146/annurev.fl.15.010183.001011
  22. Martinez-Vazquez, P., Baker ,C.J., Sterling, M., Quinn, A.D. and Richards, P.J. (2009), "Aerodynamic forces on fixed and rotating plates", Wind Struct., 13(2), 127-144.
  23. Martinez-Vazquez, P., Sterling, M., Baker, C.J., Quinn, A.D. and Richards, P.J. (2010), "Autorotation of square plates, with application to windborne debris", Wind Struct., 14(2), 167-186. https://doi.org/10.12989/was.2011.14.2.167
  24. Mittal, R., Seshadri, V. and Udaykumar, H.S. (2004), "Flutter, tumble and vortex induced autorotation", J. Theor. Comput. Fluid Dynam., 17(3), 165-170. https://doi.org/10.1007/s00162-003-0101-5
  25. Newmark, S. (1963), "Rotating aerofoils and flaps", T. Jpn.Soc. R. Aeronaut. S., 67, 47-63. https://doi.org/10.1017/S0368393100090040
  26. Riabouchinsky, D.P. (1935), "Thirty years of theoretical and experimental research in Fluid Mechanics", T. Jpn.Soc. R. Aeronaut. S., 39, 282-348. https://doi.org/10.1017/S0368393100112039
  27. Richards, P.J., Williams, N., Laing, B., McCarty, M. and Pond, M. (2008), "Numerical calculation of the 3- dimensional motion of wind-borne debris", J. Wind Eng. Ind. Aerod., 96, 2188-2202. https://doi.org/10.1016/j.jweia.2008.02.060
  28. Smith, E.H. (1971), Autorotating wings: an experimental investigation, Univ. Michigan Aerospace Eng. Rep. 01954-2-7.
  29. Sarrate, J., Huerta, A. and Donea, J, (2001), "Arbitrary lagrangian-eulerian formulation for fluid-rigid body interaction", Comput. Method. Appl. M.,190(24-25), 3171-3188. https://doi.org/10.1016/S0045-7825(00)00387-X
  30. Shih, T.H., Liou, W.W., Shabbir, A., Yang, Z. and Zhu, J. (1995), "A new k-å eddy-viscosity model for high Reynolds number turbulent flows - model development and validation", Comput. Fluids, 24(3), 227-238. https://doi.org/10.1016/0045-7930(94)00032-T
  31. Tachikawa, M. (1983), "Trajectories of flat plates in uniform flow with application to wind-generated missiles", J. Wind Eng. Ind. Aerod., 14(1-3), 443-453. https://doi.org/10.1016/0167-6105(83)90045-4
  32. Taira, K. and Colonius, T. (2009), "Three-dimensional flows around low-aspect-ratio flat-plate wings at low Reynolds numbers", J. Fluid Mech,, 623, 187-207 https://doi.org/10.1017/S0022112008005314
  33. Wang, Z.J. (2005), "Dissecting insect flight", Annu. Rev. Fluid Mech., 37, 183-210. https://doi.org/10.1146/annurev.fluid.36.050802.121940
  34. Wang, K.J. and Letchford, C.W. (2003), "Flight debris behaviour", Proceeedings of the 11th International Conference on Wind Engineering.
  35. Wills, J.A.B., Lee, B.E. and Wyatt, T.A. (2002), "A model of wind-borne debris damage", J. Wind Eng. Ind. Aerod., 90(4-5), 555-565. https://doi.org/10.1016/S0167-6105(01)00197-0