Abstract
As a deposition alleviation approach, the purging of dust from the internal cooling channels of turbine blade has received much attention. In this study, the dust purge hole (DPH) effect on the thermal, particle deposition and purge behaviors inside the internal channel are studied numerically. Three DPH configurations (hole I aside the inlet, hole II at the center, and hole III aside outlet) are adopted to explore their effect on the thermal performance and deposition of endwall, sidewall, and downstream ribbed wall, respectively. For the thermal behavior, hole I showed the highest heat transfer performance. Specifically, the area-average normalize Nusselt number at Re = 25,000 is 2.04 and 2.38 for the endwall and the leading sidewall, respectively. Numerical results of hole I showed the most severe deposition at the endwall (capture efficiency of 17.2% at Re = 25,000), while hole III showed the most at the sidewall (capture efficiency of 14.1% at Re = 25,000). As for the particle purge behavior, hole II exhibited the highest purge efficiency compared to hole I and III, which is 9.3% at Re = 25,000 and 15.7% at Re = 50,000. In general, the addition of DPH at the center (hole II) demonstrated the best performance, showing the highest purge efficiency and least particle depositions, which is recommended for DPH design in gas turbine engine.
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Abbreviations
- \({C}_{D}\) :
-
Drag coefficient
- \({C}_{u}\) :
-
Cunningham correction factor
- \({c}_{p}\) :
-
Specific heat (kJ/(kg·K))
- \({D}_{h}\) :
-
Hydraulic diameter of channel (mm)
- \({D}_{\mathrm{hole}}\) :
-
Diameter of dust purge hole (mm)
- \({D}_{P}\) :
-
Particle diameter (\(\mu m\))
- \(E\) :
-
Young’s modulus between surface and particle (Pa)
- \(e\) :
-
Pitch height (mm)
- \({F}_{B}\) :
-
Brownian force
- \({F}_{D}\) :
-
Drag force
- \({F}_{S}\) :
-
Saffman’s lift force
- \({F}_{T}\) :
-
Thermophoretic force
- \(h\) :
-
Convective heat transfer coefficient (W/(m2·K))
- \({h}_{\mathrm{hole}}\) :
-
Thickness/height of dust purge hole (mm)
- \({K}_{c}\) :
-
Composite Young’s modulus
- \({m}_{\mathrm{cap}}\) :
-
Mass of particles deposited on the wall
- \({m}_{\mathrm{inj}}\) :
-
Mass of particles injected into the field
- \({N}_{\mathrm{inj}}\) :
-
Number of particles injected into the field
- \({N}_{\mathrm{imp}}\) :
-
Number of particles impacting on the wall
- \({N}_{\mathrm{dep}}\) :
-
Number of particles deposited on the wall
- \({N}_{\mathrm{DPH}}\) :
-
Number of particles discharged from dust purge hole
- \(\mathrm{Nu}\) :
-
Nusselt number
- \({\mathrm{Nu}}_{0}\) :
-
Nusselt number according to the Dittus–Boelter correlation
- \(P\) :
-
Rib pitch length (mm)
- \({P}_{c}\) :
-
Perimeter of the channel
- \(\mathrm{Pr}\) :
-
Prandtl number
- \(p\) :
-
Pressure (Pa)
- \(q\) :
-
Heat flux (W/m2)
- \(\mathrm{Re}\) :
-
Reynolds number
- \({\mathrm{Re}}_{p}\) :
-
Relative particle Reynolds number
- \(T\) :
-
Temperature (K)
- \(U\) :
-
Velocity vector with three-dimensional components (m/s)
- \({u}_{p}\) :
-
Particle velocity
- \({U}_{0}\) :
-
Mean inlet velocity (m/s)
- \({u}_{\mathrm{\tau c}}\) :
-
Critical wall shear velocity (m/s)
- \(V\) :
-
Velocity magnitude (m/s)
- \({V}_{d}\) :
-
Deposition velocity
- \({V}_{d}^{+}\) :
-
Dimensionless deposition velocity
- \({W}_{A}\) :
-
Particle sticking constant
- \(X,Y,Z\) :
-
Coordinate direction distance (mm)
- \(\beta\) :
-
Deposition mass rate
- \({\eta }_{\mathrm{imp}}\) :
-
Impact efficiency
- \({\eta }_{\mathrm{cap}}\) :
-
Capture efficiency
- \({\eta }_{p}\) :
-
Purge efficiency
- \(\lambda\) :
-
Thermal conductivity (W/(m·K))
- \(\rho\) :
-
Density (kg/m3)
- \({\tau }_{p}^{+}\) :
-
Dimensionless particle relaxation time
- \(\mu\) :
-
Fluid dynamic viscosity (Pa s)
- \(v\) :
-
Poisson’s ratio
- \(b\) :
-
Bulk value of fluid
- \(c\) :
-
Channel
- \(\mathrm{cr}\) :
-
Critical value
- \(p\) :
-
Particle property
- \(s\) :
-
Surface
- \(w\) :
-
Wall
References
Bons JP, Prenter R, Whitaker S (2017) A simple physics-based model for particle rebound and deposition in turbomachinery. J Turbomach 139(8). https://doi.org/10.1115/1.4035921
Brach RM, Dunn PF (1992) A mathematical model of the impact and adhesion of microsphers. Aerosol Sci Technol 16(1):51–64
Burrus DSPE (1980) Energy efficient engine. NASA
Cavallero D, Tanda G (2002) An experimental investigation of forced convection heat transfer in channels with rib turbulators by means of liquid crystal thermography. Exp Thermal Fluid Sci 26(2):115–121
Cheng WL, Lundgreen R, Guo B (2018) A numerical study of dust deposition in a model turbine vane cooling passage. In: ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition
Dowd C, Tafti D, Yu K (2017) Sand transport and deposition in rotating two-passed ribbed duct with coriolis and centrifugal buoyancy forces at Re=100,000. In: ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition,
El-Batsh H, Haselbacher H (2002) Numerical investigation of the effect of ash particle deposition on the flow field through turbine cascades. In: ASME Turbo Expo 2002: power for land, sea, and air
Fluent A (2020). ANSYS fluent theory guide. Fluent Inc.
Giehl C, Brooker R, Marxer H, Nowak M (2016) An experimental simulation of volcanic ash deposition in gas turbines and implications for jet engine safety. Chem Geol, 160–170.
Jiang Yu, Lin, Hao (2017) Numerical study of monodispersed particle deposition rates in variable section ducts with different expanding or contracting ratios. Appl Thermal Eng Des Process Equip Econ 110:150–161
Kim JJ, Kim H, Kim J, Lee I, Kim H, Lee SJ (2022) Effect of the flow structure on the indoor deposition of particulate matter. J Visual 25(4):741–750
Land CC, Joe C, Thole KA (2010) Considerations of a double-wall cooling design to reduce sand blockage. J Turbomach 132:P.031011.031011–031011.031018. https://doi.org/10.1115/1.3153308%1031011
Li L, Liu CL, Shi XY, Zhu HR, Li BR (2019) Numerical investigation on sand particles deposition in a U-bend ribbed internal cooling passage of turbine blade. In: ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition
Liu B, Agarwal JK (1974) Experimental observation of aerosol deposition in turbulent flow. J Aerosol Sci 5(2):145IN141149–148IN142155.
Nakayama Y, Boucher RF (1998) Computational fluid dynamics. Introduction Fluid Mech 31(1):249–273
Patil S, Tafti D (2013) Large-eddy simulation with zonal near wall treatment of flow and heat transfer in a ribbed duct for the internal cooling of turbine blades. J Turbomach 135(3). https://doi.org/10.1115/1.4006640%1031006
Shah A, Tafti DK (2006) Transport of particulates in an internal cooling ribbed duct. J Turbomach 129(4):816–825. https://doi.org/10.1115/1.2720509
Singh S (2014) Large Eddy simulations of sand transport and deposition in the internal cooling passages of gas turbine blades. PHD thesis, Virginia Polytechnic Institute and State University. Blacksburg, Virgnia.
Singh S, Tafti D, Reagle C, Delimont J, Ng W, Ekkad S (2014a) Sand transport in a two pass internal cooling duct with rib turbulators. Int J Heat Fluid Flow 46:158–167
Singh S, Tafti D, Reagle C, Delimont J, Ng W, Ekkad S (2014b) Sand transport in a two pass internal cooling duct with rib turbulators. Int J Heat Fluid Flow 46:158–167
Singh S, Tafti DK (2016) Prediction of sand transport and deposition in a two-pass internal cooling duct. ASME J Eng Gas Turbines Power Trans 138(7):072606. https://doi.org/10.1115/1.4032340
Sreedharan SS, Tafti DK (2010) Composition dependent model for the prediction of syngas ash deposition with application to a leading edge turbine vane. In: ASME Turbo Expo 2010: power for land, sea, and air
Thulin RD, Howe DC, Singer ID (1982) Energy efficient engine high-pressure turbine detailed design report. NASA
Wang J, Tian K, Zhu H, Zeng M, Sundén B (2020) Numerical investigation of particle deposition in film-cooled blade leading edge. Numer Heat Transfer Appl 9:1–20.
Woisetschlaeger J, Pecnik R, Goettlich E, Schennach O, Marn A, Sanz W, Heitmeir F (2008) Experimental and numerical flow visualization in a transonic turbine. J Visual 11(1):95–102
Wylie S, Bucknell A, Forsyth P, McGilvray M, Gillespie DRH (2016) Reduction in flow parameter resulting from volcanic ash deposition in engine representative cooling passages. J Turbomach. https://doi.org/10.1115/1.4034939
Yang X, Xu N, Liu Z (2013) Effects of deposition and thermal barrier coating spallation on film cooling effectiveness: a numerical study. J Propulsion Technol 34(10):1362–1368
Xu Z, Han Z, Sun A, Yu X (2019) Numerical study of particulate fouling characteristics in a rectangular heat exchange channel. Appl Therm Eng 154:657–667
Zhang J, Li A (2008) Study on particle deposition in vertical square ventilation duct flows by different models. Energy Convers Manage 49(5):1008–1018
Zhang F, Liu Z, Liu Z, Diao W (2020) Experimental study of sand particle deposition on a film-cooled turbine blade at different gas temperatures and angles of attack. Energies 13(4):811
Zhao H, Jiang Y, Du L et al (2020) Particle deposition characteristics on internal rib cooling channel of air-cooled turbine blade for marine gas turbine. J Propulsion Technol 41:2499–2508
Zhao H, Jiang Y, Zheng Q et al (2021a) Particle deposition characteristics of u-shaped rib channel of marine gas turbine. J Propulsion Technol 42(8):1906–1914
Zhao Z, Luo L, Qiu D, Wang S, Wang Z, Sundén B (2021b) On the topology of vortex structures and heat transfer of a gas turbine blade internal tip with different arrangement of delta-winglet vortex generators. Int J Therm Sci 160:106676
Zhao Z, Luo L, Qiu D, Wang S, Wang Z, Sundén B (2021c) Vortical structures and heat transfer augmentation of a cooling channel in a gas turbine blade with various arrangements of tip bleed holes. Numer Heat Transfer A Appl 79(1):40–67. https://doi.org/10.1080/10407782.2020.1814591
Zheng Z, Pei X, Yan S, Hou L (2021) Numerical investigation on heat transfer and oxidation deposition of aviation fuel in a rotatory U-channel. J Turbomach 143(2):1–32
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The authors gratefully acknowledge the financial support for this study from the National Natural Science Foundation of China (92052107).
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Huang, W., Zhang, T., Zhou, W. et al. Influence of dust purge hole on thermal performance and particle deposition of a turbine blade with ribbed internal cooling channel. J Vis 26, 299–316 (2023). https://doi.org/10.1007/s12650-022-00886-z
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DOI: https://doi.org/10.1007/s12650-022-00886-z