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Experiments in Fluids

, 58:20 | Cite as

Load-estimation techniques for unsteady incompressible flows

  • David E. Rival
  • Bas van Oudheusden
Review Article

Abstract

In a large variety of fluid-dynamic problems, it is often impossible to directly measure the instantaneous aerodynamic or hydrodynamic forces on a moving body. Examples include studies of propulsion in nature, either with mechanical models or living animals, wings, and blades subjected to significant surface contamination, such as icing, sting blockage effects, etc. In these circumstances, load estimation from flow-field data provides an attractive alternative method, while at the same time providing insight into the relationship between unsteady loadings and their associated vortex-wake dynamics. Historically, classical control-volume techniques based on time-averaged measurements have been used to extract the mean forces. With the advent of high-speed imaging, and the rapid progress in time-resolved volumetric measurements, such as Tomo-PIV and 4D-PTV, it is becoming feasible to estimate the instantaneous forces on bodies of complex geometry and/or motion. For effective application under these conditions, a number of challenges still exist, including the near-body treatment of the acceleration field as well as the estimation of pressure on the outer surfaces of the control volume. Additional limitations in temporal and spatial resolutions, and their associated impact on the feasibility of the various approaches, are also discussed. Finally, as an outlook towards the development of future methodologies, the potential application of Lagrangian techniques is explored.

Keywords

Vorticity Control Volume Control Surface Aerodynamic Loading Load Estimation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Adrian RJ, Westerweel J (2011) Particle image velocimetry. Cambridge University PressGoogle Scholar
  2. Ben-Gida H, Kirchhefer A, Taylor ZJ, Bezner-Kerr W, Guglielmo CG, Kopp GA, Gurka R (2013) Estimation of unsteady aerodynamics in the wake of a freely flying european starling (sturnus vulgaris). PLOS One 8(11):e80086CrossRefGoogle Scholar
  3. Betz A (1925) A method for the direct determination of profile drag (in German). Zeitschrift für Flugtechnik und Motorluftschifffahrt 16:42–44Google Scholar
  4. Bohl DG, Koochesfahani MM (2009) MTV measurements of the vortical field in the wake of an airfoil oscillating at high reduced frequency. J Fluid Mech 620:63–88CrossRefzbMATHGoogle Scholar
  5. Dabiri JO (2005) On the estimation of swimming and flying forces from wake measurements. J Exp Biol 208:3519–3532CrossRefGoogle Scholar
  6. Dabiri JO, Bose S, Gemmell BJ, Colin SP, Costello JH (2013) An algorithm to estimate unsteady and quasi-steady pressure fields from velocity field measurements. J Exp Biol 217:331–336CrossRefGoogle Scholar
  7. Darwin CG (1953) Note on hydrodynamics. Math Proc Cambridge Philos Soc 49(2):342–354MathSciNetCrossRefzbMATHGoogle Scholar
  8. David L, Jardin T, Farcy A (2009) On the non-intrusive evaluation of fluid forces with the momentum equation approach. Measure Sci Technol 20:095401CrossRefGoogle Scholar
  9. DeVoria AC, Ringuette M (2013) On the flow generated on the leeward face of a rotating flat plate. Exp Fluids 54:1495CrossRefGoogle Scholar
  10. DeVoria ACJ, Carr ZR, Ringuette MJ (2014) On calculating forces from the flow field with application to experimental volume data. J Fluid Mech 749:297–319CrossRefGoogle Scholar
  11. Elsinga GE, Scarano F, Wieneke B, van Oudheusden BW (2006) Tomographic Particle Image Velocimetry. Exp Fluids 41:933–947CrossRefGoogle Scholar
  12. Fernando JFF, Rival DE (2016) Reynolds-number scaling of vortex pinch-o on low-aspect-ratio propulsors. J Fluid Mech 799:R3CrossRefGoogle Scholar
  13. Ferreira CJS, van Bussel GJW, van Kuik GAM, Scarano F (2011) On the use of velocity data for load estimation of a vawt in dynamic stall. J Solar Energy Eng 133:011006CrossRefGoogle Scholar
  14. Gharali K, Johnson DA (2014) Piv-based load investigation in dynamic stall for different reduced frequencies. Exp Fluids 54:1–14Google Scholar
  15. Graziani G, Bassanini P (2002) Unsteady viscous flows about bodies: Vorticity release and forces. Meccanica 37:283–303MathSciNetCrossRefzbMATHGoogle Scholar
  16. Haller G (2002) Lagrangian coherent structures from approximate velocity data. Phys Fluids 14(6):1851–1861MathSciNetCrossRefzbMATHGoogle Scholar
  17. Huang Y, Green MA (2015) Detection and tracking of vortex phenomena using lagrangian coherent structures. Exp Fluids 56:147CrossRefGoogle Scholar
  18. Hubel TY, Hristov NI, Swartz SM, Breuer KS (2009) Time-resolved wake structure and kinematics of bat flight. Exp Fluids 46:933–943CrossRefGoogle Scholar
  19. Jardin T, Chatellier L, Farcy A, David L (2009) Correlation between vortex structures and unsteady loads for flapping motion in hover. Exp Fluids 47:655–664CrossRefGoogle Scholar
  20. Jones BM (1936) Measurement of profile drag by the pitot-traverse method. ARC R&M No. 1688Google Scholar
  21. Kähler CJ, Scharnowski S, Cierpka C (2012a) On the resolution limit of digital particle image velocimetry. Exp Fluids 52(6):1629–1639CrossRefGoogle Scholar
  22. Kähler CJ, Scharnowski S, Cierpka C (2012b) On the uncertainty of digital PIV and PTV near walls. Exp Fluids 52(6):1641–1656CrossRefGoogle Scholar
  23. Koochesfahani MM (1989) Vortical patterns in the wake of an oscillating airfoil. AIAA J 27:1200–1205CrossRefGoogle Scholar
  24. Kriegseis J, Rival D (2014) Vortex force decomposition in the tip region of impulsively-started flat plates. J Fluid Mech 756:758–770CrossRefGoogle Scholar
  25. Kurtulus DF, Scarano F, David L (2007) Unsteady aerodynamics force estimation on a square cylinder by TR-PIV. Exp Fluids 42:185–196CrossRefGoogle Scholar
  26. Lentink D, Haselsteiner AF, Ingersoll R (2015) In vivo recording of aerodynamic force with an aerodynamic force platform: from drones to birds. J R Soc Interface 12:20141283CrossRefGoogle Scholar
  27. Lighthill MJ (1986) Fundamentals concerning wave loading on offshore structures. J Fluid Mech 173:667–681CrossRefGoogle Scholar
  28. Lin J-C, Rockwell D (1996) Force identification by vorticity fields: techniques based on flow imaging. J Fluids Struct 10:663–668CrossRefGoogle Scholar
  29. Mackowski AW, Williamson CHK (2011) Developing a cyber-physical fluid dynamics facility for fluid-structure interaction studies. J Fluids Struct 27:748–757CrossRefGoogle Scholar
  30. Mendelson L, Techet AH (2015) Quantitative wake analysis of a freely swimming fish using 3D synthetic aperture PIV. Exp Fluids 56:135CrossRefGoogle Scholar
  31. Minotti FO (2011) Determination of the instantaneous forces on flapping wings from a localized fluid velocity field. Phys Fluids s1-9(1):91–93Google Scholar
  32. Mohebbian A, Rival D (2012) Assessment of the derivative-moment transformation method for unsteady-load estimation. Exp Fluids 53:319–330CrossRefGoogle Scholar
  33. Neeteson NJ, Bhattacharya S, Rival DE, Michaelis D, Schanz D, Schroeder A (2016) Pressure-field extraction from Lagrangian flow measurements: first experiences with 4D-PTV data. Exp Fluids 57:102CrossRefGoogle Scholar
  34. Noca F, Shiels D, Jeon D (1997) Measuring instantaneous fluid dynamic forces on bodies, using only velocity fields and their derivatives. J Fluids Struct 11:345–350CrossRefGoogle Scholar
  35. 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 13:551–578CrossRefGoogle Scholar
  36. Onoue K, Breuer KS (2016) Vortex formation and shedding from a cyber-physical pitching plate. J Fluid Mech 793:229–247CrossRefGoogle Scholar
  37. Poelma C, Dickson WB, Dickinson MH (2006) Time-resolved reconstruction of the full velocity field around a dynamically-scaled flapping wing. Exp Fluids 41:213–225CrossRefGoogle Scholar
  38. Polet DT, Rival DE (2015) Rapid area change in pitch-up manoeuvres of small perching birds. Bioinsp Biomimet 10(1):066004CrossRefGoogle Scholar
  39. Protas B (2007) On an attempt to simplify the Quartapelle Napolitano approach to computation of hydrodynamic forces in open flows. J Fluids Struct 23:1207–1214CrossRefGoogle Scholar
  40. Protas B, Styczek A, Nowakowski A (2000) An effective approach to computation of forces in viscous incompressible flows. J Comput Phys 159:231–245CrossRefzbMATHGoogle Scholar
  41. Quartapelle L, Napolitano M (1983) Force and moment in incompressible flows. AIAA J 21:911–913CrossRefzbMATHGoogle Scholar
  42. Rival DE, Manejev R, Tropea C (2010) Measurement of parallel blade-vortex interaction at low Reynolds numbers. Exp Fluids 49:89–99CrossRefGoogle Scholar
  43. Rival DE, Schoenweitz D, Tropea C (2011) Vortex interaction of tandem pitching and plunging plates: a two-dimensional model of hovering dragonfly-like flight. Bioinspir Biomimet 6(1):016008CrossRefGoogle Scholar
  44. Saffman P (1992) Vortex Dynamics. Cambridge Monographs on Mechanics and Applied Mathematics. Cambridge University PressGoogle Scholar
  45. Schanz D, Gesemann S, Schroeder A (2016) Shake The Box: Lagrangian particle tracking at high particle image densities. Exp Fluids 57-70Google Scholar
  46. Sterenborg JJHM, Lindeboom RCJ, Ferreira CJS, van Zuijlen AH, Bijl H (2013) Assessment of piv-based unsteady load determination of an airfoil with actuated flap. J Fluids Struct 45:79–95CrossRefGoogle Scholar
  47. Unal M, Lin J-C, Rockwell D (1997) Force prediction by PIV imaging: a momentum-based approach. J Fluids Struct 11:965–971CrossRefGoogle Scholar
  48. van de Meerendonk R, Percin M, van Oudheusden B (2016) Three-dimensional flow and load characteristics of flexible revolving wings at low Reynolds number. In: 18th International Symposium on Applications of Laser Techniques to Fluid Mechanics, 4–7 July, Lisbon, PortugalGoogle Scholar
  49. van Oudheusden BW (2013) PIV-based pressure measurement. Measure Sci Technol 24(032001):1–32Google Scholar
  50. van Oudheusden BW, Scarano F, Roosenboom EWM, Casimiri EWF, Souverein LJ (2007) Evaluation of integral forces and pressure fields from planar velocimetry data for incompressible and compressible flows. Exp Fluids 43(2–3):153–162CrossRefGoogle Scholar
  51. Villegas A, Diez F (2014) Evaluation of unsteady pressure fields and forces in rotating airfoils from time-resolved piv. Exp Fluids 55:1697CrossRefGoogle Scholar
  52. Violato D, Moore P, Scarano F (2011) Lagrangian and Eulerian pressure field evaluation of rod-airfoil flow from time-resolved tomographic PIV. Exp Fluids 50:1057–1070CrossRefGoogle Scholar
  53. Westerweel J (2008) On velocity gradients in PIV interrogation. Exp Fluids 44:831–842CrossRefGoogle Scholar
  54. Wu JC (1981) Theory for aerodynamic force and moment in viscous flows. AIAA J 19:432–441CrossRefzbMATHGoogle Scholar
  55. Wu J-Z, Ma H-Y, Zhou J-Z (2006) Vorticity and vortex dynamics. Lecture notes in mathematics. Springer, Berlin HeidelbergCrossRefGoogle Scholar
  56. Wu J-Z, Pan Z-L, Lu X-Y (2005) Unsteady fluid-dynamic force solely in terms of control-surface integral. Phys Fluids 17:098102CrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of Mechanical and Materials EngineeringQueen’s UniversityKingstonCanada
  2. 2.Department of Aerospace EngineeringDelft University of TechnologyDelftThe Netherlands

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