Abstract
A numerical study was carried out to explore the influence of triangular with concave edge shaped (TCES) upstream ramp on the film cooling effectiveness (FCE) and flow characteristics. The main objective of this study is to obtain the performance of the newly proposed upstream ramp on FCE and to establish that it provides better thermal protection by increasing the lateral diffusion of coolant on the surface compared to the baseline case and continuous triangular-shaped (TS) upstream ramp. Four different cases were investigated, including baseline case, TCES with s/d = 1, TCES with s/d = 1.5 and triangular-shaped (TS) upstream ramp. Coolant streams were injected through a circular jet hole on the target surface with an inclination angle of αc = 35˚. Computations were carried out with different blowing ratio (M), including, 0.40, 0.85, 1.00, and 1.25. Results showed that TCES has a significant potential of improving coolant dispersion towards the lateral direction on the surface by means of generating a pair of strong anti-counter rotating vortex (anti-CRV) in the jet flow region compared to the baseline case. Correspondingly TCES with s/d = 1 upstream ramp is the best design especially considering thermal protection. Moreover, area-averaged FCE enhances 441.35% by using TCES with s/d = 1 upstream ramp on the surface under inspection compared with the baseline case for the blowing ratio of M = 1.25.
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Abbreviations
- I:
-
Turbulence intensity
- M:
-
Blowing ratio
- \(\mathrm{RE}\left(Re=\frac{{\rho }^{U}{ave}^{h}}{\mu }\right)\) :
-
Reynolds number
- U :
-
Instantaneous velocity [m/s]
- U ave :
-
Average velocity [m/s]
- U ∞ :
-
Mainstream velocity [m/s]
- d :
-
Film cooling hole diameter [m]
- h :
-
Characteristics length [m]
- I m :
-
Average velocity [m/s]
- p/d :
-
Normalized pitch between adjacent jets
- s :
-
Concave diameter of the TCES upstream ramp [m]
- s/d :
-
Normalized concave diameter of the TCES upstream ramp
- x :
-
Streamwise direction coordinate [m]
- x/d :
-
Normalized streamwise distance
- y :
-
Spanwise direction coordinate [m]
- y + :
-
Dimensionless distance from the wall
- y/d :
-
Normalized spanwise distance
- z :
-
Coordinate perpendicular mainstream flow [m]
- ∆P :
-
Pressure drop [Pa]
- ρ :
-
Density of air [kg/m3]
- μ :
-
Dinamic viscosity [Pa.s]
- \(\eta\) :
-
Local FCE
- \(\stackrel{-}{\eta }\) :
-
Overall FCE
- \({\stackrel{-}{\eta }}_{L}\) :
-
Laterally averaged FCE
- \({\stackrel{-}{\eta }}_{S}\) :
-
Longitudinally averaged FCE
- ŋ c :
-
Centerline FCE
- α c :
-
Film cooling hole inclination angle
- α r :
-
Ramp inclination angle
- aw :
-
Adiabatic wall
- m :
-
Mainstream
- c :
-
Coolant
- s :
-
Longitudinal direction
References
Andreopoulos J, Rodi W (1984) Experimental investigation of jets in a crossflow. J Fluid Mech. https://doi.org/10.1017/S0022112084000057
Bogard DG, Thole KA (2006) Gas turbine film cooling. J Propuls Power. https://doi.org/10.2514/1.18034
Bogard DG (2006) Airfoil Film Cooling, Gas Turbine Handb. 309–321. http://www.netl.doe.gov/technologies/coalpower/turbines/refshelf/handbook/4.2.2.1.pdf
Na S, Shih TIP (2007) Increasing adiabatic film-cooling effectiveness by using an upstream ramp. J Heat Transfer. https://doi.org/10.1115/1.2709965
Chen SP, Chyu MK, Shih TIP (2011) Effects of upstream ramp on the performance of film cooling. Int J Therm Sci 50:1085–1094. https://doi.org/10.1016/j.ijthermalsci.2010.10.005
Rallabandi AP, Grizzle J, Han JC (2011) Effect of upstream step on flat plate film-cooling effectiveness using PSP. J Turbomach. https://doi.org/10.1115/1.4002422
Abdala AMM, Elwekeel FNM (2016) An influence of novel upstream steps on film cooling performance. Int J Heat Mass Transf 93:86–96. https://doi.org/10.1016/j.ijheatmasstransfer.2015.10.007
Hammami Z, Dellil ZA, Nemdili F, Azzi A (2016) Improving Adiabatic Film-Cooling Effectiveness by Using an Upstream Pyramid. Comput Therm Sci An Int J 8:135–146. https://doi.org/10.1615/ComputThermalScien.2016016302
Zheng D, Wang X, Zhang F, Yuan Q (2017) Numerical investigation on the effects of the divided steps on film cooling performance. Appl Therm Eng 124:652–662. https://doi.org/10.1016/j.applthermaleng.2017.06.019
Zheng D, Wang X, Zhang F, Zhou J, Yuan Q (2017) The effect of upstream ramps with different shapes on film cooling efficiency, in: Proc. ASME Turbo Expo. https://doi.org/10.1115/GT2017-63741.
Zhang F, Wang X, Li J (2016) The effects of upstream steps with unevenly spanwise distributed height on rectangular hole film cooling performance. Int J Heat Mass Transf 102:1209–1221. https://doi.org/10.1016/j.ijheatmasstransfer.2016.07.001
Zhou W, Hu H (2016) Improvements of film cooling effectiveness by using Barchan dune shaped ramps. Int J Heat Mass Transf 103:443–456. https://doi.org/10.1016/j.ijheatmasstransfer.2016.07.066
Zhou W, Hu H (2017) A novel sand-dune-inspired design for improved film cooling performance. Int J Heat Mass Transf 110:908–920. https://doi.org/10.1016/j.ijheatmasstransfer.2017.03.091
Zhou W, Peng D, Wen X, Liu Y, Hu H (2018) Unsteady analysis of adiabatic film cooling effectiveness behind circular, shaped, and sand-dune-inspired film cooling holes: Measurement using fast-response pressure-sensitive paint. Int J Heat Mass Transf 125:1003–1016. https://doi.org/10.1016/j.ijheatmasstransfer.2018.04.126
Zhang SC, Zhang JZ, Tan XM (2018) Numerical investigation of film cooling enhancement using an upstream sand-dune-shaped ramp, Comput. 6. https://doi.org/10.3390/computation6030049
Hyams DG, Leylek JH (2000) A detailed analysis of film cooling physics: Part III- Streamwise injection with shaped holes. J Turbomach. https://doi.org/10.1115/1.555435
Montomoli F, D’Ammaro A, Uchida S (2013) Numerical and experimental investigation of a new film cooling geometry with high P/D ratio. Int J Heat Mass Transf 66:366–375. https://doi.org/10.1016/j.ijheatmasstransfer.2013.07.036
McGovern KT, Leylek JH (2000) A detailed analysis of film cooling physics: Part II- Compound-angle injection with cylindrical holes. J Turbomach. https://doi.org/10.1115/1.555434
Brittingham RA, Leylek JH (2000) A detailed analysis of film cooling physics: Part IV- Compound-angle injection with shaped holes. J Turbomach. https://doi.org/10.1115/1.555419
Wang Li H, Han F, Yu Zhou Z, Wen Ma Y, Tao Z (2018) Experimental investigations of the effects of the injection angle and blowing ratio on the leading-edge film cooling of a rotating twisted turbine blade, Int. J. Heat Mass Transf. 127;856–869. https://doi.org/10.1016/j.ijheatmasstransfer.2018.07.133.
Andreini A, Becchi R, Facchini B, Picchi A, Peschiulli A (2017) The effect of effusion holes inclination angle on the adiabatic film cooling effectiveness in a three-sector gas turbine combustor rig with a realistic swirling flow. Int J Therm Sci 121:75–88. https://doi.org/10.1016/j.ijthermalsci.2017.07.003
Song L, Zhang C, Song Y, Li J, Feng Z (2017) Experimental investigations on the effects of inclination angle and blowing ratio on the flat-plate film cooling enhancement using the vortex generator downstream. Appl Therm Eng 119:573–584. https://doi.org/10.1016/j.applthermaleng.2017.03.089
Haven BA, Kurosaka M (1997) Kidney and anti-kidney vortices in crossflow jets. J Fluid Mech. https://doi.org/10.1017/S0022112097007271
Tepe AÜ (2021) Improvement of film cooling effectiveness on a flat surface subjected to streamwise pressure gradient by using ramp. Int J Therm Sci 163:106846. https://doi.org/10.1016/j.ijthermalsci.2021.106846
Bergman TL, Lavine AS, Incropera FP, Dewitt DP (2011) Fundamentals of Heat and Mass Transfer, 7th edn. John Wiley & Sons Inc, Danvers
Patankar S (1990) Numerical heat transfer and fluid flow. Taylor & Francis, New York
Wagner G, Kotulla M, Ott P, Weigand B, von Wolfersdorf J (2005) The Transient Liquid Crystal Technique: Influence of Surface Curvature and Finite Wall Thickness. J Turbomach 127:175–182. https://doi.org/10.1115/1.1811089
Johnson B, Tian W, Zhang K, Hu H (2014) An experimental study of density ratio effects on the film cooling injection from discrete holes by using PIV and PSP techniques. Int J Heat Mass Transf 76:337–349. https://doi.org/10.1016/j.ijheatmasstransfer.2014.04.028
Menter FR (1994) Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J 32:1598–1605
Fric TF, Roshko A (1994) Vortical Structure in the Wake of a Transverse Jet. J Fluid Mech. https://doi.org/10.1017/S0022112094003800
Zaman KBMQ, Rigby DL, Heidmann JD (2010) Inclined jet in crossflow interacting with a vortex generator. J Propuls Power. https://doi.org/10.2514/1.49742
Shinn AF, Pratap Vanka S (2012) Large Eddy Simulations of Film-Cooling Flows With a Micro-Ramp Vortex Generator, J. Turbomach. https://doi.org/10.1115/1.4006329
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TEPE, A.Ü. Enhancement of film cooling effectiveness using upstream vortex generator. Heat Mass Transfer 57, 1815–1828 (2021). https://doi.org/10.1007/s00231-021-03075-0
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DOI: https://doi.org/10.1007/s00231-021-03075-0