Abstract
Fine particles of ash and sand can deposit on the surfaces of cooling ducts, diminishing heat transfer efficiency and threatening the operation of turbine engines. The surface roughness of deposits can alter the nearby flow dynamics, and result in changes of subsequent particle collision and deposition. In this work, the effects of rib turbulence on particle deposition in cooling duct are numerically studied based on the wall modeled shear stress transport k–ω model with a UDF code correction for particle–wall impacts and the discrete particle model. A Gaussian probability density function is adopted to give the topology of deposited particles on the surface impacted by micron particles. We investigate how variables such as particle diameter and temperature impact collision and deposition processes. Additionally, the impact of ribbed turbulence on particle deposition is also discussed. The findings indicate that the impact ratio increases with particle diameter while exhibiting less sensitivity to temperature. Deposition ratios experience a significant decrease when particle size exceeds 1 μm. The temperature of the particles has a noteworthy influence on surface profile of deposits. Specifically, deposits on the wall surface, where particles are introduced by fluid injection, tend to assume a crane-like shape as the temperature rises. Notably, a more uniform deposition pattern is achieved when the particle temperature is low. In terms of particle distribution, low-velocity particles are more likely to accumulate in the windward region of the rib, especially at the junction of the rib wall, where the maximum deposition height is observed. Furthermore, deposits on the rib surface tend to grow, and the gap between the peak and valley widens as the particle temperature increases, as evident from the roughened rib surface features.
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References
Casaday B, Clum C, Bons JP (2014) Particle deposition in internal cooling cavities of a nozzle guide vane—part II: analytical and computational modeling. In: Proceedings of ASME Turbo Expo, GT2014-27155
Prenter R, Ameri A, Bons JP (2016) Deposition on a cooled nozzle guide vane with non-uniform inlet temperatures. J Turbomach 138(10):101005
Prenter R, Ameri A, Bons JP (2017) Computational simulation of deposition in a cooled high-pressure turbine stage with hot streaks. J Turbomach 139(9):091005
Ai W, Murray N, Fletcher TH et al (2012) Effect of hole spacing on deposition of fine coal fly-ash near film cooling holes. J Turbomach 134(4):041021
Webb J, Casaday B, Barker B et al (2012) Coal ash deposition on nozzle guide vanes-part I: experimental characteristics of four coal ash types. J Turbomach 135(1):21033–21033
Laycock R, Fletcher TH (2016) Independent effects of surface and gas temperature on coal fly ash deposition in gas turbines at temperatures up to 1400°C. J Eng Gas Turbines Power 138(2):21402.1-21408
Crosby JM, Lewis S, Bons JP, Ai W et al (2008) Effects of temperature and particle size on deposition in land based turbines. ASME J Eng Gas Turbines Power 130(9):051503-1–9
Jensen JW, Squire SW, Bons JP (2005) Simulated land-based turbine deposits generated in an accelerated deposition facility. ASME J Turbomach 127:462–470
Wammack JE, Crosby J, Fletcher D et al (2006) Evolution of surface deposits on a high pressure turbine blade, part i: physical characteristics. In: ASME Turbo Expo, GT2006-91246
Lawson SA, Lynch SP, Thole KA (2012) Simulations of multiphase particle deposition on endwall film-cooling. J Turbomach 134(1):11001
Lawson SA, Lynch SP, Thole KA (2013) Simulations of multiphase particle deposition on a non-axisymmetric contoured end wall with film-cooling. J Turbomach 135(3):031032
Albert JE, Bogard DG (2013) Experimental simulation of contaminant deposition on a film-cooled turbine vane pressure side with a trench. J Turbomach 135(1):51001
Yang XJ, Cui MH, Liu ZG (2018) Experimental study on deposition of particulate on plate surface with cooling film (in Chinese). Propuls Technol 39(6):1323–1330
Lugundgeen R, Sacco C, Prenter R et al (2016) Temperature effects on nozzle guide vane deposition in a new turbine cascade rig. In: ASME Turbo Expo, GT2016-57560, South Korea
Tafti D, Sreedharan S (2010) Composition dependent model for the prediction of syngas ash deposition with application to a leading edge turbine vane. In: Proceedings of ASME Turbo Expo, GT2010-23655
Cowan JB, Tafti D, Kohli A (2010) Investigation of sand particle deposition and erosion within a short pin fin array. In: ASME turbo expo: power for land, sea, and air
Singh S, Tafti D (2015) Prediction of sand deposition in a two pass internal cooling duct. In: ASME Turbo Expo. Turbine technical conference and exposition
Singh S, Tafti D (2016) Prediction of sand transport and deposition in a two-pass internal cooling duct. J Eng Gas Turbines Power 138(7):072606
Singh S, Tafti D (2015) Particle deposition model for particulate flows at high temperatures in gas turbine components. Int J Heat Fluid Flow 52:72–83
Yu K, Tafti D (2019) Size and temperature dependent collision and deposition model for micron-sized sand particles. J Turbomach Trans ASME 141:031001
Yu K, Liu J, Xu X et al (2022) Dust transport investigation in ribbed cooling duct integrating temperature-dependent elastic–plastic particle collision model. Part Sci Technol 40(2):1–11
Liu J, Yu K, Tafti D et al (2023) Dust adhesion and deposition behavior in internal cooling duct with pin fins. Int J Therm Sci 184:107943
Marchis MD, Milici B, Sardina G et al (2016) Interaction between turbulent structures and particles in roughened channel. Int J Multiph Flow 78:117–131
Mu L, Wang S, Zhai Z (2020) Unsteady CFD simulation on ash particle deposition and removal characteristics in tube banks: focusing on particle diameter, flow velocity, and temperature. J Energy Inst 93(4):1481–1494
Forsyth P, Gillespie DRH, McGilvray M (2018) Development and applications of a couple deposition dynamic mesh morphing approach for the numerical simulation of gas turbine flows. J Eng Gas Turbines Power Trans ASME 140(2):022603
Qu X, Cai X, Zhang M et al (2017) A facile method for simulating randomly rough membrane surface associated with interface behaviors. Appl Surf Sci 427:915–921
Zhou H, Zhang K, Li Y et al (2018) Simulation of ash deposition in different furnace temperature with a 2D dynamic mesh model. J Energy Inst. https://doi.org/10.1016/j.joei
Zheng Z, Yang W, Yu P et al (2020) Simulating growth of ash deposit in boiler heat exchanger tube based on CFD dynamic mesh technique. Fuel 259:116083
Zheng Z, Yang W, Cai Y et al (2020) Dynamic simulation on ash deposition and heat transfer behavior on a staggered tube bundle under high-temperature conditions. Energy 190:116390
Han Z, Xu Z, Sun A et al (2019) The deposition characteristics of micron particles in heat exchange pipelines. Appl Therm Eng 158:113732
Liou TM, Wang WB, Chang YJ (1995) Holographic interferometry study of spatially periodic heat transfer in a channel with ribs detached from one wall. ASME Trans J Heat Transf 117:32–39
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S.H. Xin greatly appreciates the support from the Key Research & Development and Promotion Projects of Henan Province (232102220040)
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Xin, S., Yu, K., Xu, X. et al. Simulation of surface deposits of micron sand particles in the internal cooling duct with a Gaussian probability density model. Comp. Part. Mech. (2024). https://doi.org/10.1007/s40571-024-00731-0
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DOI: https://doi.org/10.1007/s40571-024-00731-0