Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Behavior of the square-back Ahmed body global modes at low ground clearance

Baptiste Plumejeau1,2,3, Laurent Keirsbulck1,2,*, Sébastien Delprat1,2, Marc Lippert1,2, and Wafik Abassi3

  • 1Université Polytechnique Hauts-de-France, Umr 8201-Lamih, F-59313 Valenciennes, France
  • 2Cnrs Umr 8201, F-59313 Valenciennes, France
  • 3Ipsa, 63 Boulevard de Brandebourg, F-94200 Ivry-sur-Seine, France

  • *laurent.keirsbulck@uphf.fr

Phys. Rev. Fluids 5, 084701 – Published 26 August, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.084701

Abstract

The present work aims to study the evolution of the wake-flow dynamic, including the shear-layers interactions phenomena and the global modes behavior of a square-back Ahmed body with a width to height aspect ratio, w/h, of 1.346. Various ground-clearance configurations around the critical case associated with the onset of the lateral bistability and corresponding to a critical ground clearance, gc/w=0.1, are investigated. For this purpose, vertical and transversal planar particle image velocimetry (PIV) and concurrent base pressure and force measurements are performed. Results show that the instantaneous wake-flow interactions between the side- or under-body flow and the wake shear layers depend mainly on the under-body flow rate and that a particular attention is required for the experimental under-body flow conditions. Pressure-velocity correlations and instantaneous filtered PIV snapshots analysis highlight the preferential shear-layer vortex shedding associated with the two selected stable and bistable wake-flow configurations. Present investigations underline the transition process from a stable wake configuration (g/w<0.1) to a bistable state flow configuration (g/w>0.1). The antisymmetric periodic global mode is strongly affected around the critical bistable case at the origin of a substantial drag reduction. The oscillation modes varies between stable and bistable states, and then the corresponding Strouhal numbers for the horizontal (respectively, vertical) evolve from 0.16 (respectively, 0.27) to 0.13 (respectively, 0.18). With regard to the present space-time evolution of the wake-flow features, a dynamical interpretation of the different interactions mechanisms is finally proposed for each case with a particular interest to the low-ground-clearance configurations poorly described in the literature.

Physics Subject Headings (PhySH)

Article Text

References (38)

  1. O. Cadot, A. Courbois, D. Ricot, T. Ruiz, F. Harambat, V. Herbert, R. Vigneron, and J. Délery, Characterizations of force and pressure fluctuations of real vehicles, Int. J. Eng. Syst. Model. Simul. 8, 99 (2015).
  2. S. R. Ahmed, G. Ramm, and G. Faitin, Some salient features of the time averaged ground vehicle wake, Report No. SAE-TP-840300 (1984).
  3. M. Grandemange, M. Gohlke, and O. Cadot, Bi-stability in the turbulent wake past parallelepiped bodies with various aspect ratios and wall effects, Phys. Fluids 25, 095103 (2013).
  4. D. Barros, J. Borée, O. C. A. Spohn, and B.-R. Noack, Forcing symmetry exchanges and flow reversals in turbulent wakes, J. Fluid Mech. Rapids 829, R1 (2017).
  5. V. Parezanovic and O. Cadot, Experimental sensitivity analysis of the global properties of a 2D turbulent wake, J. Fluid Mech. 693, 115 (2012).
  6. R. Brackston, J. G. Cruz de la, A. Wynn, G. Rigas, and J. Morrison, Stochastic modeling and feedback control of bistability in a turbulent bluff body wake, J. Fluid Mech. 802, 726 (2016).
  7. O. Evstafyeva, A. Morgans, and L. Longa, Simulation and feedback control of the Ahmed body flow exhibiting symmetry breaking behavior, J. Fluid Mech. Rapids 817, 1 (2017).
  8. B. Khalighi, K.-H. Chen, and G. Iaccarino, Unsteady aerodynamic flow investigation around a simplified square-back road vehicle with drag reduction devices, J. Fluids Eng. 134, 061101 (2012).
  9. B. Herry, L. Keirsbulck, L. Labraga, and J. Paquet, Flow bistability downstream of three-dimensional double backward facing steps at zero-degree sideslip, J. Fluids Eng. 133, 054501 (2011).
  10. F. Ravelet, L. Marié, A. Chiffaudel, and F. Daviaud, Multistability and Memory Effect in a Highly Turbulent Flow: Experimental Evidence for a Global Bifurcation, Phys. Rev. Lett. 93, 164501 (2004).
  11. A. Evrard, O. Cadot, V. H. D. Ricot, R. Vigneron, and J. Délery, Fluid force and symmetry breaking modes of a 3D bluff body with a base cavity, J. Fluids Struct. 61, 99 (2016).
  12. M. Grandemange, O. Cadot, and M. Gohlke, Reflectional symmetry breaking of the separated flow over three-dimensional bluff bodies, Phys. Rev. E 86, 035302 (2012).
  13. M. Grandemange, M. Gohlke, and O. Cadot, Turbulent wake past a three-dimensional blunt body. Part 1. Global modes and bistability, J. Fluid Mech. 722, 51 (2013).
  14. M. Grandemange, M. Gohlke, and O. Cadot, Statistical axisymmetry of the turbulent sphere wake, Exp. Fluids 55, 1838 (2014).
  15. M. Grandemange, M. Gohlke, V. Parezanovic, and O. Cadot, On experimental sensitivity analysis of the turbulent wake from an axisymmetric blunt trailing edge, Phys. Fluids 24, 035106 (2012).
  16. E. Varon, Y. Eulalie, S. Edwige, P. Gilotte, and J.-L. Aider, Chaotic dynamics of large-scale structures in a turbulent wake, Phys. Rev. Fluids 2, 034604 (2017).
  17. O. Cadot, A. Evrard, and L. Pastur, Imperfect supercritical bifurcation in a 3D turbulent wake, Phys. Rev. E 91, 063005 (2015).
  18. J. Charonko and P. Vlachos, Estimation of uncertainty bounds for individual particle image velocimetry measurements from cross-correlation peak ratio, Meas. Sci. Technol. 24, 065301 (2013).
  19. R. Volpe, P. Devinant, and A. Kourta, Experimental characterization of the unsteady natural wake of the full-scale square-back Ahmed body: Flow bistability and spectral analysis, Exp. Fluids 56, 99 (2015).
  20. M. Grandemange, Analysis and control of three-dimensional turbulent wakes: From axisymmetric bodies to road vehicles, Ph.D. thesis, École Polytechnique, ENSTA ParisTech, 2013, https://pastel.archives-ouvertes.fr/pastel-00947364/document.
  21. Y. Eulalie, P. Gilotte, I. Mortazavi, and P. Bobillier, Wake analysis and drag reduction for a square-back Ahmed body using LES computations, in Proceedings of the ASME 4th Joint U.S.-European Fluids Engineering Division Summer Meeting (FEDSM'14), Chicago, IL (ASME, New York, 2014).
  22. A. Evrard, O. Cadot, C. Sicot, V. Herbert, D. Ricot, and R. Vigneron, Comparative effects of vortex generators on Ahmed's square-back and minivan car models, Proc. Inst. Mech. Eng., Part D 231, 1287 (2017).
  23. R. Li, Aerodynamic drag reduction of a square-back car model using linear genetic programming and physics-based control, Ph.D. thesis, ISAE-ENSMA Ecole Nationale Supérieure de Mécanique et d'Aérotechique - Poitiers, 2016, https://www.theses.fr/2017ESMA0014.
  24. D. Barros, J. Borée, B.-R. Noack, A. Spohn, and T. Ruiz, Bluff body drag manipulation using pulsed jets and Coanda effect, J. Fluid Mech. 805, 422 (2016).
  25. J.-M. Lucas, O. Cadot, V. Herbert, S. Parpais, and J. Délery, A numerical investigation of the asymmetric wake mode of a square-back Ahmed body—Effect of a base cavity, J. Fluid Mech. 831, 675 (2017).
  26. G. Bonnavion and O. Cadot, Unstable wake dynamics of rectangular flat-backed bluff bodies with inclination and ground proximity, J. Fluid Mech. 854, 196 (2018).
  27. D. Barros, J. Borée, B.-R. Noack, and A. Spohn, Resonances in the forced turbulent wake past a 3D blunt body, Phys. Fluids 28, 065104 (2016).
  28. G. Bonnavion, O. Cadot, V. Herbert, S. Parpais, R. Vigneron, and J. Delery, Effect of a base cavity on the wake modes of the square-back Ahmed body at various ground clearances and application to drag reduction, in Proceedings of the 23rd French Mechanical Congress (Lille, France, 2017).
  29. M. Grandemange, M. Gohlke, and O. Cadot, Turbulent wake past a three-dimensional blunt body. Part 2. Experimental sensitivity analysis, J. Fluid Mech. 752, 439 (2014).
  30. T. Castelain, M. Michard, M. Szmigiel, D. Chacaton, and D. Juvé, Identification of flow classes in the wake of a simplified truck model depending on the underbody velocity, J. Wind Eng. Ind. Aerod. 175, 352 (2018).
  31. 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 (2001).
  32. S. Bailey, R. Martinuzzi, and G. Kopp, The effects of wall proximity on vortex shedding from a square cylinder: Three-dimensional effects, Phys. Fluids 14, 4160 (2002).
  33. E. Duell and A. George, Experimental Study of a Ground Vehicle Body Unsteady Near Wake, Technical report, SAE technical paper (SAE International, 1999).
  34. G. Pavia, M. Passmore, and C. Sardu, Evolution of the bistable wake of a square-back automotive shape, Exp. Fluids 59, 20 (2018).
  35. P. Holmes, J. Lumley, G. Berkooz, and C. W. Rowley, Turbulence, Coherent Structures, Dynamical Systems and Symmetry, 2nd ed. (Cambridge University Press, UK, 1996).
  36. J. Lumley, The structure of inhomogeneous turbulent flows, in Atmospheric Turbulence and Radio Wave Propagation, edited by A. M. Yaglom and V. I. Takarski (Nauka, Moscow, 1967), Vol. 25, pp. 166–178.
  37. L. Sirovich, Turbulence and the dynamics of coherent structures, part I: Coherent structures, Q. Appl. Math. 45, 561 (1987).
  38. C. Chovet, M. Lippert, L. Keirsbulck, and J.-M. Foucaut, Unsteady behavior of a backward-facing step in forced flow, Flow Turbul. Combust. 102, 145 (2018).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation