Abstract
The 2D and 3D turbulent airflow in channels with sharply bent walls is studied numerically. The inner surfaces of opposite walls are parallel to each other ahead of the bends and slightly divergent downstream. The inflow Mach number ranges from 1.2 to 1.5. Solutions of the Reynolds-averaged Navier-Stokes equations are obtained with a finite-volume solver on fine computational meshes. The solutions demonstrate flow hysteresis and bifurcations in considerable bands of the Mach number and angle of attack. The instability of shock waves is explained by their interaction with the expansion flow developed over the convex bend of a wall. Though the leading edges of walls are very thin, they produce noticeable effects on the flow.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Sforza, P.M.: Theory of Aerospace Propulsion. Academic Press, Waltham (2012)
Daneshyar, H.: One-Dimensional Compressible Flow: Thermodynamics and Fluid Mechanics Series. Pergamon, Oxford (1976)
Kuzmin, A.: Shock wave instability in a channel with an expansion corner. Int. J. Appl. Mech. 7(2), 1–9 (2015). Article ID 1550019
Kuzmin, A.: Shock wave bifurcation in channels with a bend. Arch. Appl. Mech. 86(5), 787–795 (2016)
Guo, S., Wang, Z., Zhao, Y.: The flow hysteresis in the supersonic curved channel. J. Natl. Univ. Def. Technol. 36(4), 10–14 (2014)
Kotteda, V.M.K., Mittal, S.: Flow in a Y-intake at supersonic speeds. J. Propuls. Power 32(1), 171–187 (2016)
Feng, S., Chang, J., Zhang, Ch., Wang, Y., Ma, J., Bao, W.: Experimental and numerical investigation on hysteresis characteristics and formation mechanism for a variable geometry dual-mode combustor. Aerosp. Sci. Technol. 67, 96–104 (2017)
Kuzmin, A.: Transonic flow instability in the entrance region of a channel with breaks of walls. Arch. Appl. Mech. 87(8), 1269–1279 (2017)
Menter, F.R.: Review of the shear-stress transport turbulence model experience from an industrial perspective. Int. J. Comput. Fluid Dyn. 23, 305–316 (2009)
Kuzmin, A.: On the lambda-shock formation on ONERA M6 wing. Int. J. Appl. Eng. Res. 9(20), 7029–7038 (2014)
Maruyama, D., Kusunose, K., Matsushima, K.: Aerodynamic characteristics of a two-dimensional supersonic biplane, covering its take-off to cruise conditions. Shock Waves 18(6), 437–450 (2009)
Hu, R., Jameson, A., Wang, Q.: Adjoint based aerodynamic optimization of supersonic biplane airfoils. AIAA Paper 2011–1248 (2011)
Acknowledgements
This research was performed using computational resources provided by the Computational Center of St. Petersburg State University (http://cc.spbu.ru).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Kuzmin, A. (2019). Instability of Shock Waves in Bent Channels of Rectangular Cross Section. In: Abdel Wahab, M. (eds) Proceedings of the 1st International Conference on Numerical Modelling in Engineering . NME 2018. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-2273-0_12
Download citation
DOI: https://doi.org/10.1007/978-981-13-2273-0_12
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-2272-3
Online ISBN: 978-981-13-2273-0
eBook Packages: EngineeringEngineering (R0)