- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Fluids

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Computational fluid-structure interaction of a restrained ogive-cylindrical body with a blunt elliptical base at a high incidence

Mark Ishay, Oded Gottlieb, and David Degani

  • Department of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa, Israel

PDF

Phys. Rev. Fluids 6, 014401 – Published 29 January, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.014401

Abstract

The flow around an inclined tangent ogive-cylindrical body of a finite length with a blunt elliptical base, placed in a wind tunnel and allowed to yaw in the x-y plane, is studied computationally. The flow is three-dimensional, compressible, and laminar with a Reynolds number of 30 000 based on the body diameter and a Mach number of 0.2. The study covers the range of angles of attack from 0° to 65°, both for fixed and yaw-restrained configurations where solutions are determined after removal of initial disturbances. The flow around the fixed body, for α > 52° and after disturbance removal, is nonstationary with large amplitude oscillations; for 0°< α < 52° the flow is almost steady with small nonstationary amplitude oscillations possibly due to the body's blunt end nonstationary wake. We identify a transition region between 45° < α < 52° where the attached wake behind the body end becomes detached. The resulting yaw response exhibits an intricate bifurcation structure that includes bistable periodic (finite amplitude) and nonstationary (small amplitude) limit cycles for moderate angles of attack, and nonstationary (finite amplitude) oscillations for high angles of attack. Investigation of the restraint torsion stiffness reveals a resonant periodic lock-in phenomena for low angles of attack which becomes quasiperiodic for a 40° angle of attack.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (53)

  1. P. J. Lamont and B. L. Hunt, Pressure and force distributions on a sharp-nosed circular cylinder at large angles of inclination to a uniform subsonic stream, J. Fluid Mech. 76, 519 (1976).
  2. D. Degani and M. Tobak, Effect of upstream disturbance on flow asymmetry, in AIAA Aerospace Sciences Meeting (AIAA, Reston, VA, 1992), Paper-92-0408.
  3. O. Wysocki and E. Schülein, Experimental investigations on the phantom yaw effect on a maneuvering slender body, J. Spacecr. Rockets 52, 264 (2015).
  4. S. Gendel, O. Gottlieb, and D. Degani, Fluid-structure interaction of an elastically mounted slender body at high incidence, AIAA J. 53, 1309 (2015).
  5. A. Kleiman, S. Gendel, D. Degani, and O. Gottlieb, Self-excited dynamics of an elastically restrained slender rigid body in uniform compressible laminar flow, Nonlinear Dyn. 86, 2207 (2016).
  6. D. Degani, M. Ishay, and O. Gottlieb, Fluid-structure interaction of a rolling restrained body of revolution at high angles of attack, Phys. Fluids 29, 037106 (2017).
  7. B. F. Ma and T. X. Liu, Low-frequency vortex oscillation around slender bodies at high angles-of-attack, Phys. Fluids 26, 091701 (2014).
  8. O. Obeid, I. AlQadi, and J. AlMutairi, Investigation of asymmetric flow past a slender body at high angles of attack, Theor. Comput. Fluid Dyn. 33, 481 (2019).
  9. T. L. Morse, R. N. Govardhan, and C. H. K. Williamson, The effect of end conditions on the vortex-induced vibration of cylinders, J. Fluids Struct. 24, 1227 (2008).
  10. J. Zhao, K. Hourigan, and M. C. Thompson, Flow-induced vibration of d-section cylinders: An afterbody is not essential for vortex-induced vibration, J. Fluid Mech. 851, 317 (2018).
  11. D. Degani and G. G. Zilliac, Experimental study of nonsteady asymmetric flow around an ogive-cylinder at incidence, AIAA J. 28, 642 (1990).
  12. A. B. Wardlaw and W. J. Yanta, Asymmetric flow field development on a slender body at high incidence, AIAA J. 22, 242 (1984).
  13. J. Cai, F. Liu, and S. Luo, Stability of symmetric vortices in two dimensions and over three-dimensional slender conical bodies, J. Fluid Mech. 480, 65 (2003).
  14. J. Cai, H. M. Tsai, S. Luo, and F. Liu, Stability of vortex pairs over slender conical bodies: Analysis and numerical computation, AIAA J. 46, 712 (2008).
  15. G. Easanesan, D. Burton, and M. C. Thompson, The effects of nose-shape and upstream flow separation on the wake of a cylindrical square-backed body, Exp. Therm. Fluid Sci. 118, 110142 (2020).
  16. T. H. Pulliam and J. L. Steger, Implicit finite-difference simulations of three-dimensional compressible flow, AIAA J. 18, 159 (1980).
  17. R. M. Beam and R. F. Warming, An implicit factored scheme for the compressible Navier-Stokes equations, AIAA J. 16, 393 (1978).
  18. H. Lomax, T. H. Pulliam, and D. W. Zingg, Fundamentals of Computational Fluid Dynamics (Springer, Berlin, 2001).
  19. T. H. Pulliam and D. W. Zingg, Fundamental Algorithms in Computational Fluid Dynamics (Springer, Berlin, 2014).
  20. J. L. Steger, Implicit finite-difference simulation of flow about arbitrary two-dimensional geometries, AIAA J. 16, 679 (1978).
  21. D. Degani and S. W. Marcus, Thin vs full Navier-Stokes computation for high-angle-of-attack aerodynamics, AIAA J. 35, 565 (1997).
  22. L. Meirovitch, Methods of Analytical Dynamics (Wiley, New York, 1988).
  23. X. Y. Chen and G. C. Zha, Fully coupled fluid-structural interactions using an efficient high resolution upwind scheme, J. Fluids Struct. 20, 1105 (2005).
  24. E. L. Blades and J. C. Newman, Aeroelastic effects of spinning missiles, in Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (AIAA, Reston, VA, 2007), Paper-07-2243.
  25. J. R. Cebral and R. Löhner, Conservative load projection and tracking for fluid-structure problems, AIAA J. 35, 687 (1997).
  26. S. Gendel, Nonlinear spatio-temporal flow-structure interaction of an elastically attached slender body at high incidence, Ph.D. dissertation, Technion–Israel Institute of Technology, 2015.
  27. D. Degani and M. Tobak, Experimental study of controlled tip disturbance effect on flow asymmetry, Phys. Fluids A 4, 2825 (1992).
  28. D. Degani, Effect of splitter plate on unsteady flows around a body of revolution at incidence, Phys. Fluids A 3, 2122 (1991).
  29. D. Degani, L. B. Schiff, and Y. Levy, Numerical prediction of subsonic turbulent flows over slender bodies at high incidence, AIAA J. 29, 2054 (1991).
  30. D. Degani and Y. Levy, Asymmetric turbulent vortical flows over slender bodies, AIAA J. 30, 2267 (1992).
  31. D. Degani and L. B. Schiff, Numerical simulation of the effect of spatial disturbances on vortex asymmetry, AIAA J. 29, 344 (1991).
  32. D. Degani, Instabilities of flows over bodies at large incidence, AIAA J. 30, 94 (1992).
  33. S. M. Murman, Geometric perturbations and asymmetric vortex shedding about slender pointed bodies, in Atmospheric Flight Mechanics Conference (AIAA, Reston, VA, 2000), Paper-00-410.
  34. S. M. Murman, Vortex filtering for turbulence models applied to crossflow separation, in 39th Aerospace Sciences Meeting and Exhibit (AIAA, Reston, VA, 2001), Paper-01-0114.
  35. K. Gee, R. M. Cummings, and L. B. Schiff, Turbulence model effects on separated flow about a prolate spheroid, AIAA J. 30, 655 (1992).
  36. D. Degani, Effect of geometrical disturbance on vortex asymmetry, AIAA J. 29, 560 (1991).
  37. L. B. Schiff, R. M. Cummings, R. L. Sorenson, and Y. Rizk, Numerical simulation of high-incidence flow over the f-18 fuselage forebody, J. Aircraft 28, 609 (1991).
  38. P. J. Lamont, Pressures around an Inclined ogive cylinder with laminar, transitional, or turbulent separation, AIAA J. 20, 1492 (1982).
  39. D. Degani, M. Tobak, and G. G. Zilliac, Surface flow patterns on an ogive-cylinder at incidence, AIAA J. 30, 272 (1992).
  40. P. Lamont, The complex asymmetric flow over a 3.5D ogive nose and cylindrical afterbody at high angles of attack, in AIAA 20th Aerospace Sciences Meeting (AIAA, Reston, VA, 1982), Paper-82-0053.
  41. G. G. Zilliac, D. Degani, and M. Tobak, Asymmetric vortices on a slender body of revolution, AIAA J. 29, 667 (1991).
  42. P. Dexter, A study of asymmetric flow over slender bodies at high angles of attack in a low turbulence environment, in 22nd Aerospace Sciences Meeting (AIAA, Reston, VA, 1984), Paper-84-0505.
  43. Y. Levy, D. Degani, and A. Seginer, Graphical visualization of vortical flows by means of helicity, AIAA J. 28, 1347 (1990).
  44. S. E. Ramberg, The effects of yaw and finite length upon the vortex wakes of stationary and vibrating circular cylinders, J. Fluid Mech. 128, 81 (1983).
  45. L. Mi and O. Gottlieb, Asymptotic model-based estimation of a wake oscillator for a tethered sphere in uniform flow, J. Fluids Struct. 54, 361 (2015).
  46. O. O’Reilly and P. J. Holmes, Non-linear, nonplanar and nonperiodic vibrations of a string, J. Sound Vib. 153, 413 (1992).
  47. M. B. Rubin and O. Gottlieb, Numerical solutions of forced vibration and whirling of a nonlinear string using the theory of a cosserat point, J. Sound Vib. 197, 85 (1996).
  48. L. Mi and O. Gottlieb, Stabilization of a multi-tethered lighter-than-air rigid-body sphere undergoing vortex-induced vibrations in uniform flow, Nonlinear Dyn. 93, 1353 (2018).
  49. C. H. K. Williamson and R. Govardhan, Vortex-induced vibrations, Annu. Rev. Fluid Mech. 36, 413 (2004).
  50. J. Zhao, K. Hourigan, and M. C. Thompson, Dynamic response of elliptical cylinders undergoing transverse flow-induced vibration, J. Fluids Struct. 89, 123 (2019).
  51. N. Jauvtis, R. Govardhan, and C. H. K. Williamson, Multiple modes of vortex-induced vibration of a sphere, J. Fluids Struct. 15, 555 (2001).
  52. R. van Hout, A. Krakovich, and O. Gottlieb, Time resolved measurements of vortex-induced vibrations of a tethered sphere in uniform flow, Phys. Fluids 22, 087101 (2010).
  53. M. M. Rajamuni, M. C. Thompson, and K. Hourigan, Transverse flow-induced vibrations of a sphere, J. Fluid Mech. 837, 931 (2018).

Outline

Information

Phys. Rev. Fluids 6, 014401– Published 29 January, 2021
  • Received 12 February 2020
  • Accepted 6 January 2021
Crossmark - Check for updates button

©2021 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation