Abstract
In the present research we investigate the effects of free stream turbulence (FST) on transitional flow in a square duct. The computed flows at sub-critical Reynolds number (Re = 800) is studied for effects of FST. A FST model is developed based on existing wind tunnel data by matching the statistics of the synthesized FST data up to fourth order statistics of wind tunnel data. Finally, receptivity of the flow in the square duct is reported for this Re flow in the square duct.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bagade PM, Krishnan SB, Sengupta TK (2015) DNS of low Reynolds number aerodynamics in the presence of free stream turbulence. J Aerosp Eng 4(1):20–34
Bhaumik S, Sengupta TK (2015) A new velocity-vorticity formulation for direct numerical simulation of 3D transitional and turbulent flows. J Comput Phys 284:230–260
Davies SJ, White CM (1928) An experimental study of the flow of water in pipes of rectangular section. Proc R Soc Lond Ser A 119:92
Dipankar A, Sengupta TK (2006) Symmetrized compact scheme for receptivity study of 2D transitional channel flow. J Comput Phys 215:245–273
Drazin PG, Reid WH (1981) Hydrodynamic stability. Cambridge University Press, UK
Gavrilakis S (1992) Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct. J Fluid Mech 244:101–129
Kraichnan RH, Montgomery D (1980) Two-dimensional turbulence. Rep Prog Phys 43:547–615
Nikuradse J (1926) Untersuchungen \(\ddot{u}\)ber die geschwindigkeitsverteilung in turbulenten str\(\ddot{o}\)mungen. PhD Thesis G\(\ddot{o}\)ttingen VDI Forsch
Schlichting H (1979) Boundary layer theory, 7th edn. McGraw Hill, New York
Sengupta TK (2013) High accuracy computing methods: fluid flows and wave phenomenon. Cambridge University Press, USA
Sengupta TK (2017) DNS of turbulence from receptivity stage: Role of spatio-temporal wave front. In: Deville M, Le TH (eds) Proceedings Turbulence and Interaction, TI-2015, Springer Verlag
Sengupta TK, Das D, Mohanamuraly P, Suman VK, Biswas A (2009) Modeling free-stream turbulence based on wind tunnel and flight data for instability studies. Int J Emerg Multidiscip Fluid Sci 1(3):181–199
Sengupta TK, De S, Gupta K (2001) Effect of free-stream turbulence on flow over aerofoil section at high incidence. J Fluids Struct 15:671–690
Sengupta TK, Singh H, Bhaumik S, Chowdhury RR (2013) DIffusion in inhomogeneous flows: Unique equilibrium state in an internal flow. Comput Fluids 88:440–451
Sengupta TK, Singh N, Suman VK (2010) Dynamical system approach to instability of flow past a circular cylinder. J Fluid Mech 656:82–115
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Bagade, P., Sengupta, T.K. (2018). Effects of Free Stream Turbulence on a Three-Dimensional Transitional Flow. In: Deville, M., et al. Turbulence and Interactions. TI 2015. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 135. Springer, Cham. https://doi.org/10.1007/978-3-319-60387-2_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-60387-2_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-60386-5
Online ISBN: 978-3-319-60387-2
eBook Packages: EngineeringEngineering (R0)