Abstract
By employing a nanoparticle-based planar laser scattering technique, with inflow Mach number of 2.95, boundary layers formed over two concave walls with respective curvature radii of 113 and 908 mm are visualized. The formation and the breakup process of the Görtler vortices have been clearly captured, which has seldom been done before under the supersonic condition. Different from the incompressible case, the breakup of the Görtler vortices in the supersonic boundary layer is found to be mainly attributed to the varicose mode instability. The Görtler vortices are not stationary, instead they are moving in the spanwise direction.
Graphical abstract
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bo W, Weidong L, Yuxin Z, Xiaoqiang F, Chao W (2012) Experimental investigation of the micro-ramp based shock wave and turbulent boundary layer interaction control. Phys Fluids 24:055110. doi:10.1063/1.4719146
Chernyshev SL, Kiselev A, Kuryachii AP (2011) Laminar flow control research at TsAGI: Past and present. Prog Aerosp Sci 47:169–185. doi:10.1016/j.paerosci.2010.11.001
Donovan JF, Spina EF, Smits AJ (1994) The structure of a supersonic turbulent boundary layer subjected to concave surface curvature. J Fluid Mech 259:1–24. doi:10.1017/S0022112094000017
El-Hady NM, Verma AK (1984) Görtler instability of compressible boundary layers. AIAA J 22(10):1354–1355. doi:10.2514/3.48574
Floryan JM (1991) On the Görtler instability of boundary layers. Prog Aerosp Sci 28:235–271
Floryan JM, Saric WS (1982) Stability of Görtler vortices in boundary layers. AIAA J 20(3):316–324. doi:10.2514/3.51076
Floryan JM, Saric WS (1984) Wavelength selection and growth of Görtler vortices. AIAA J 22(11):1529–1538. doi:10.2514/3.8814
Gang D, Yi S, He L (2016) Characteristics of the cylinder-induced shock wave and turbulent boundary layer interactions. J Vis 19:581–585. doi:10.1007/s12650-016-0354-x
Hall P (1982) Taylor–Görtler vortices in fully developed or boundary-layer flows: linear theory. J Fluid Mech 124:475–494
Hall P (1988) The nonlinear development of Görtler vortices in growing boundary layers. J Fluid Mech 193:243–266
Hall P, Fu Y (1989) On the Görtler vortex instability mechanism at hypersonic speeds. Theor Comput Fluid Dyn 1:125–134
Kachanov YS (1994) Physical mechanisms of laminar-boundary-layer transition. Annu Rev Fluid Mech 26:411–482
Li F, Malik MR (1995) Fundamental and subharmonic secondary instabilities of Görtler vortices. J Fluid Mech 297:77–100
Lu Frank K, Li Qin, Liu Chaoqun (2012) Microvortex generators in high-speed flow. Prog Aerosp Sci 53:30–45
Ren Jie, Fu Song (2015) Study of the discrete spectrum in a Mach 4.5 Gortler flow. Flow Turbul Combust 94:339–357. doi:10.1007/s10494-014-9575-z
Saric WS (1994) Görtler vortices. Annu Rev Fluid Mech 26:379–409
Shahinfar S, Sattarzadeh SS, Fransson JHM, Talamelli A (2012) Revival of classical vortex generators now for transition delay. Phys Rev Lett 109:074501. doi:10.1103/PhysRevLett.109.074501
Smith DR, Smits AJ (1995) A study of the effects of curvature and a supersonic turbulent boundary layer. Exp Fluids 18:363–369
Spall RE, Malik MR (1989) Görtler vortices in supersonic and hypersonic boundary layers. Phys Fluids A 1:1822. doi:10.1063/1.857508
Swearingen JD, Blackwelder RF (1986) Spacing of streamwise vortices on concave walls. AIAA J 24(10):1706–1709. doi:10.2514/3.9507
Swearingen JD, Blackwelder RF (1987a) The growth and breakdown of streamwise vortices in the presence of a wall. J Fluid Mech 182:255–290
Swearingen JD, Blackwelder RF (1987b) The growth and breakdown of streamwise vortices in the presence of a wall. J Fluid Mech 182:255–290
Tandiono T, Winoto SH, Shah DA (2008) On the linear and nonlinear development of Görtler vortices. Phys Fluids 20:094103. doi:10.1063/1.2980349
Tandiono T, Winoto SH, Shah DA (2009a) Visualizing shear stress in Görtler vortex flow. J Vis 12(3):195–202
Tandiono T, Winoto SH, Shah DA (2009b) Wall shear stress in Görtler vortex boundary layer flow. Phys Fluids 21:084106. doi:10.1063/1.3205428
Tandiono T, Winoto SH, Shah DA (2013) Spanwise velocity component in nonlinear region of Görtler vortices. Phys Fluids 25:104104. doi:10.1063/1.4825158
Wang QC, Wang ZG, Lei J, Feng JH (2013) Characteristics of mixing enhanced by streamwise vortices in supersonic flow. Appl Phys Lett 103(14):144102. doi:10.1063/1.4823699
Winoto SH, Mitsudharmadi H, Shah DA (2005) Visualizing Görtler vortices. J Vis 8(4):315–322
Wu Y, Yi S, He L, Chen Z, Zhu Y (2015) Flow visualization of Mach 3 compression ramp with different upstream boundary layers. J Vis 18:631–644
Zhang H, Liu W, Wu J (2016) Flow visualization of the large-scale structures in supersonic mixing layer with a recirculation flow region. J Vis 19:15–19. doi:10.1007/s12650-015-0289-7
Zhao YX, Yi SH, Tian LF, Cheng ZY (2009) Supersonic flow imaging via nanoparticles. Sci China Ser E-Tech Sci 52(12):3640–3648
Zhao YX, Yi SH, Tian LF, He L, Cheng ZY (2010) Density field measurement and approximate reconstruction of supersonic mixing layer. Chin Sci Bull 55(19):2004–2009. doi:10.1007/s11434-010-3222-4
Zhuang Y, Tan HJ, Liu YZ, Zhang YC, Ling Y (2017) High resolution visualization of Görtler-like vortices in supersonic compression ramp flow. J Vis. doi:10.1007/s12650-016-0415-1
Acknowledgements
This work has been supported by the National Natural Science Foundation of China (Grant no. 11472304).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, Qc., Wang, Zg. & Zhao, Yx. Visualization of Görtler vortices in supersonic concave boundary layer. J Vis 21, 57–62 (2018). https://doi.org/10.1007/s12650-017-0443-5
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12650-017-0443-5