No Access Submitted: 26 September 2017 Accepted: 22 March 2018 Published Online: 25 April 2018
Physics of Fluids 30, 045108 (2018); https://doi.org/10.1063/1.5006527
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  • Matthew S. Melius
  • Karen Mulleners
  • Raúl Bayoán Cal
Unsteady flow separation in rotationally augmented flow fields plays a significant role in a variety of fundamental flows. Through the use of time-resolved particle image velocimetry, vorticity accumulation and vortex shedding during unsteady separation over a three-dimensional airfoil are examined. The results of the study describe the critical role of surface vorticity accumulation during unsteady separation and reattachment. Through evaluation of the unsteady characteristics of the shear layer, it is demonstrated that the buildup and shedding of surface vorticity directly influence the dynamic changes of the separation point location. The quantitative characterization of surface vorticity and shear layer stability enables improved aerodynamic designs and has a broad impact within the field of unsteady fluid dynamics.
This work was supported by the National Science Foundation, Grant No. NSF-CBET-1034581.
  1. 1. D. F. Young and F. Y. Tsai, “Flow characteristics in models of arterial stenoses—II. Unsteady flow,” J. Biomech. 6, 547–559 (1973). https://doi.org/10.1016/0021-9290(73)90012-2, Google ScholarCrossref
  2. 2. J. Song, H. Luo, and T. L. Hedrick, “Three-dimensional flow and lift characteristics of a hovering ruby-throated hummingbird,” J. R. Soc., Interface 11, 20140541 (2014). https://doi.org/10.1098/rsif.2014.0541, Google ScholarCrossref
  3. 3. K. Cassel and A. Conlisk, “Unsteady separation in vortex-induced boundary layers,” Philos. Trans. R. Soc., A 372, 20130348 (2014). https://doi.org/10.1098/rsta.2013.0348, Google ScholarCrossref
  4. 4. L. Prandtl, “Über flüssigkeitsbewegung bei sehr kleiner reibung,” in Internationalen Mathematiker-Kongresses, Heidelberg, Leipzig, 1904. Google Scholar
  5. 5. S. Goldstein, “On laminar boundary-layer flow near a position of separation,” Q. J. Mech. Appl. Math. 1, 43–69 (1948). https://doi.org/10.1093/qjmam/1.1.43, Google ScholarCrossref, ISI
  6. 6. F. K. Moore, “On the separation of the unsteady laminar boundary layer,” in Grenzschichtforschung/Boundary Layer Research (Springer, 1958), pp. 296–311. Google ScholarCrossref
  7. 7. N. Rott, “Unsteady viscous flow in the vicinity of a stagnation point,” Q. Appl. Math. 13, 444–451 (1956). https://doi.org/10.1090/qam/74194, Google ScholarCrossref
  8. 8. W. R. Sears, “Some recent developments in airfoil theory,” J. Aeronaut. Sci. 23, 490–499 (1956). https://doi.org/10.2514/8.3588, Google ScholarCrossref
  9. 9. L. L. van Dommelen and S.-F. Shen, “The spontaneous generation of the singularity in a separating laminar boundary layer,” J. Comput. Phys. 38, 125–140 (1980). https://doi.org/10.1016/0021-9991(80)90049-2, Google ScholarCrossref, ISI
  10. 10. A. Surana, G. B. Jacobs, O. Grunberg, and G. Haller, “An exact theory of three-dimensional fixed separation in unsteady flows,” Phys. Fluids 20, 107101 (2008). https://doi.org/10.1063/1.2988321, Google ScholarScitation, ISI
  11. 11. M. Farazmand and G. Haller, “Computing Lagrangian coherent structures from their variational theory,” Chaos 22, 013128 (2012). https://doi.org/10.1063/1.3690153, Google ScholarScitation, ISI
  12. 12. A. Prasad and C. H. K. Williamson, “The instability of the shear layer separating from a bluff body,” J. Fluid Mech. 333, 375–402 (1997). https://doi.org/10.1017/s0022112096004326, Google ScholarCrossref
  13. 13. D. Tritton, Physical Fluid Dynamics (Oxford Science Publication, Clarendon Press, 1988). Google Scholar
  14. 14. S. K. Roberts and M. I. Yaras, “Large-eddy simulation of transition in a separation bubble,” J. Fluids Eng. 128, 232–238 (2006). https://doi.org/10.1115/1.2170123, Google ScholarCrossref, ISI
  15. 15. J. Wu, R. Tramel, F. Zhu, and X. Yin, “A vorticity dynamics theory of three-dimensional flow separation,” Phys. Fluids 12, 1932–1954 (2000). https://doi.org/10.1063/1.870442, Google ScholarScitation, ISI
  16. 16. M. Melius, R. B. Cal, and K. Mulleners, “Dynamic stall of an experimental wind turbine blade,” Phys. Fluids 28, 034103 (2016). https://doi.org/10.1063/1.4942001, Google ScholarScitation, ISI
  17. 17. L. Graftieaux, M. Michard, and N. Grosjean, “Combining PIV, POD and vortex identification algorithms for the study of unsteady turbulent swirling flows,” Meas. Sci. Technol. 12, 1422–1429 (2001). https://doi.org/10.1088/0957-0233/12/9/307, Google ScholarCrossref, ISI
  18. 18. P. Huerre and P. A. Monkewitz, “Absolute and convective instabilities in free shear layers,” J. Fluid Mech. 159, 151–168 (1985). https://doi.org/10.1017/s0022112085003147, Google ScholarCrossref
  19. 19. S. Yarusevych, P. E. Sullivan, and J. G. Kawall, “On vortex shedding from an airfoil in low-Reynolds-number flows,” J. Fluid Mech. 632, 245–271 (2009). https://doi.org/10.1017/s0022112009007058, Google ScholarCrossref
  20. 20. R. A. M. Galbraith, M. W. Gracey, and E. Leitch, “Summary of pressure data for thirteen airfoils on the University of Glasgow’s aerofoil database,” technical report, University of Glasgow, 1992. Google Scholar
  21. 21. W. Sheng, R. A. M. Galbraith, and F. N. Coton, “Return from aerofoil stall during ramp-down pitching motions,” J. Aircraft 44, 1856 (2007). https://doi.org/10.2514/1.30554, Google ScholarCrossref
  22. 22. H. Y. Toda and T. Yamamoto, “Statistical inference in vector autoregressions with possibly integrated processes,” J. Econometrics 66, 225–250 (1995). https://doi.org/10.1016/0304-4076(94)01616-8, Google ScholarCrossref
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