Abstract
The substantial adverse pressure gradient experienced by a turbulent boundary layer while approaching an endwall-mounted twisted turbine blade and caused the impending flow to separate three-dimensionally to form a dynamically active horseshoe vortex (HSV) system in the junction of the turbine blade with endwall. The large eddy simulations (LES) of the flow past a twisted turbine blade mounted on a curved endwall with periodic boundary condition in pitchwise direction is carried out for Re = 50000 to methodically investigate the HSV dynamics. The significant variations with Re in terms of mean flow quantities, heat transfer distribution, and coherent dynamics of turbulent HSV are shown in computed results. The HSV system consists of a multiple number of necklace-type vortices that are shed periodically at maximal frequencies. For high Re, we show that outburst of wall govern the instantaneous flow field, averaged vorticity affiliate with the growth of hairpin vortices that enclose around and dislocate the primary HSV. The time-mean endwall heat transfer is prevailed by two bands of high heat transfer which encircle the leading edge of the blade. The band of maximal heat transfer, occurs in the corner region of the juncture, while the secondary high heat transfer band (thin as compare to primary) develops upstream of primary band, in between primary and secondary bands a relatively low heat transfer region is identified.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
Abbreviations
- SGS:
-
Subgrid scale structures
- HSV:
-
Horseshoe vortex
- SISM:
-
Shear-Improved Smagorinsky Model
- FVM:
-
Finite Volume Method
- MIM:
-
Momentum Interpolation Method
- FOU:
-
First-Order Upwind
- QUICK:
-
Quadratic Upwind Interpolation Convective Kinematics
- GSOR:
-
Gauss–Seidel over-relaxation
- CDS:
-
Central Difference Scheme
- PrSGS:
-
Turbulent Prandtl number
References
Devenport WJ, Simpson RL (1990) Time-dependent and time-averaged turbulence structure near the nose of a wing-body junction. J Fluid Mech 210:23
Chrisohoides A, Sotiropoulos F, Sturm TW (2003) Coherent structures in flat-bed abutment flow: computational fluid dynamics simulations and experiments. J Hydraul Eng 129:177
Martinuzzi R, Tropea C (1993) The flow around surface-mounted, prismatic obstables placed in a fully developed channel flow. J Fluids Eng 115:85
Hussein H, Martinuzzi RJ (1996) Energy balance for turbulent flow around a surface mounted cube placed in a channel. Phys Fluids 8:764
Paik J, Sotiropoulos F (2005) Coherent structure dynamics upstream of a long rectangular block at the side of a large aspect ratio channel. Phys Fluids 17:115104
Simpson RL (2001) Junction flows. Annu Rev Fluid Mech 33:415
Doligalski TL, Smith CR, Walker JDA (1994) Vortex interactions with walls. Annu Rev Fluid Mech 26:573
Baker CJ (1980) The turbulent horseshoe vortex. J Wind Eng Ind Aerodyn 6:9
Dargahi B (1989) The turbulent flow field around a circular cylinder. Exp Fluids 8:1
Agui JH, Andreopoulos J (1992) Experimental investigation of a three dimensional boundary layer flow in the vicinity of an upright wall mounted cylinder. J Fluids Eng 114:566
Seal CV, Smith CR, Rockwell D (1997) Dynamics of the vorticity distribution in endwall junctions. AIAA J 35:1041
Seal CV, Smith CR (1999) Visualization of a mechanism for three-dimensional interaction and near wall eruption. J Fluid Mech 394:193
Chen CH (1995) Assessment of a Reynolds stress closure model for appendage-hull junction flows. J Fluids Eng 117:557
Fu S, Rung T, Thiele F, Zhai Z (1997) In: Lesieur M, Launder BE, Binder G, Whitelaw JH (eds), Proceedings of the 11th symposium on turbulent shear flows, Grenoble, France, pp 6.7–6.12
Parneix S, Durbin PA, Behnia, M (1998) Computation of 3-D turbulent boundary layers using the V2F model. Flow Turbul Combust 60:19
Apsley D, Leschziner M (2001) Investigation of advanced turbulence models for the flow in a generic wing-body junction. Flow Turbul Combust 67:25
Rodi W (1997) Comparison of LES and RANS calculations of the flow around bluff bodies. J Wind Eng Ind Aerodyn 69:55
Krajnović´ SC, Davidson L (2002) Large-eddy simulation of the flow around a bluff body. AIAA J 40: 927
Rodi W, Ferziger J, Breuer M, Pourquié M (1997) Status of large-eddy simulation: results of a workshop. J Fluids Eng 119:248
Shah KB, Ferziger JH (1997) A fluid mechanicians view of wind engineering: large Eddy simulation of flow past a cubic obstacle. J Wind Eng Ind Aerodyn 67:211
Saha AK, Acharya S (2003) Parametric study of unsteady flow and heat transfer in a pin-fin heat exchanger. Int J Heat Mass Transf 46(20):3815
Murata A, Shibata R, Mochizuki,S (1991) Effect of cross-sectional aspect ratio on turbulent heat transfer in an orthogonally rotating rectangular smooth duct. Int J Heat Mass Transf 42:3803
Moin P, Squires K, Cabot W, Lee S (1991) A dynamic subgrid-scale model for compressible turbulence and scalar transport. Phys Fluids A 3(11):2746
Smagorinsky J (1963) General circulation experiments with the primitive equations: I. The basic equations. Mon Weather Rev 91(3):99
Lévêque E, Toschi F, Shao L, Bertoglio JP (2007) Shear-improved smagorinsky model for large-eddy simulation of wall-bounded turbulent flow. J Fluid Mech 570:491
Toschi F, Lévêque E, Ruiz-Chavarria G (2000) Shear effects in nonhomogeneous turbulence. Phys Rev Lett 85:1436
Eswaran V, Prakash S (1998) A finite volume method for Navier-Stokes equations. In: Third Asian CFD conference, Vol 1, Bangalore, India
Sharma A, Eswaran V (2003) A finite volume method. In: Muralidhar K, Sundararajan T (eds), Computational fluid flow and heat transfer. 2nd ed. Narosa Publishing House, New Delhi. Ch. 12, pp 445
Rhie CM, Chow WL (1983) Numerical study of turbulent flow past an airfoil with trailing edge separation. AIAA J 21:1525
Orlanski I (1976) A simple boundary condition for unbounded flows. J Comput Phys 21:251
Paik J, Escauriaza C, Sotiropoulos F (2007) On the bimodal dynamics of the turbulent horseshoe vortex system in a wing-body junction. Phys Fluids 19:045107
Escauriaza C, Sotiropoulos F (2011) Reynolds number effects on the coherent dynamics of the turbulent horseshoe vortex system. Flow Turbul Combust 86:231
Praisner TJ, Smith CR (2005) The dynamics of the horseshoe vortex and associated endwall heat transfer: Part I—Temporal behavior. In: ASME turbo expo. Proceedings of GT69088, vol 899
Praisner TJ, Smith CR (2006) The dynamics of the horseshoe vortex and associated endwall heat transfer—Part II: time-mean results. J Turbomach 128:755
Ishii J, Honami S (1986) A three-dimensional turbulent detached flow with a horseshoe vortex. J Eng Gas Turbines Power 108(1):125–130
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Saxena, G., Saha, A.K., Gaur, R. (2021). Numerical Investigation of Three-Dimensional Separation in Twisted Turbine Blade: The Influence of Endwall Boundary Layer State. In: Mistry, C., Kumar, S., Raghunandan, B., Sivaramakrishna, G. (eds) Proceedings of the National Aerospace Propulsion Conference . Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-5039-3_8
Download citation
DOI: https://doi.org/10.1007/978-981-15-5039-3_8
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-5038-6
Online ISBN: 978-981-15-5039-3
eBook Packages: EngineeringEngineering (R0)