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Flow and heat transfer characteristics of a staggered array of Kagome lattice structures in rectangular channels

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Abstract

In this study, Kagome lattice structure (KLS) produced by 3D printer is used as a turbulator for a typical rectangular internal cooling channel at the trailing edge of turbine blade. The friction factor and bottom wall heat transfer coefficient of the channel filled with low thermal conductivity ABS plastic KLS are experimentally and numerically analyzed by changing the column diameter d/H = 0.1–0.2, the inclination angle α = 45°-60° and included angle β = 120°-150° under the Reynolds number range of 5000–30,000. The fitting correlations of these parameters with the channel friction factors and the average Nusselt number of working surface are obtained. The results show that when Reynolds number increases from 5000 to 30,000, the vortex range behind type II column increases obviously, the local heat transfer effect is obviously improved and the comprehensive impact factor F increases by 180%. When d/H increases from 0.1 to 0.2, the area of stagnation vortex after type I column expands, the heat transfer effect improves significantly, the friction factor increases by 60.9%, the average Nusselt number of channel wall increases by 32.2%, and the F increases by 16%. With the increase of α and β, the heat transfer effect has no obvious change, but the friction factor in the channel is reduced with different degrees. The high heat transfer area is mainly concentrated near the surface of the column. In the obtained fitting correlation, the maximum error of the average Nusselt number is 9.3%, and the maximum error of friction factor is 24%.

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Abbreviations

A:

Heating area, m2

F:

Comprehensive impact factor

H:

Channel height, m

L1 :

Length of stable section, m

L2 :

Internal cooling channel length, m

Nu:

Local Nusselt number

Nuave :

Average Nusselt number

Pout :

Outlet pressure, Pa

Q:

Inlet flow, m3·s-1

Re:

Reynolds number

Sx :

Spacing of lattice truss in X-direction, m

Sy :

Spacing of lattice truss in Y-direction, m

Tair :

Local bulk fluid temperature of air, K

Tin :

Inlet air temperature, K

Ts :

Local wall temperature, K

Tw :

Average wall temperature in channel, K

V:

Inlet velocity, m·s-1

W:

Width of inner cooling channel, m

d:

Column diameter, m

f:

Friction factor

k:

Thermal conductivity of air, W·m-1·K-1

q:

Wall heat flux, W·m-2

Δp:

Pressure difference between two ends of test section, Pa

α:

Inclination angle of column, °

β:

Included angle of column, °

μ:

Dynamic viscosity, Pa·s

ν:

Air specific volume, m3·kg-1

ρ:

Air density, kg·m-3

References

  1. Gebisa AW, Lemu HG (2018) Additive Manufacturing for the Manufacture of Gas Turbine Engine Components: Literature Review and Future Perspectives

  2. Je-Chin H, Michael H (2010) Recent studies in turbine blade internal cooling. Heat Transf Res 41(8):803–828

    Article  Google Scholar 

  3. Wang L, Wang S, Wen F, Xun Z, Wang Z (2018) Effects of continuous wavy ribs on heat transfer and cooling air flow in a square single-pass channel of turbine blade. Int J Heat Mass Transf 121:514–533

    Article  Google Scholar 

  4. Chyu M K, Siw S C (2013) Recent advances of internal cooling techniques for gas turbine airfoils. J Therm Sci Eng Appl

  5. Han J C, Dutta S, Ekkad S (2012) Gas Turbine Heat Transfer & Cooling Technology

  6. Chyu MK (1990) Heat Transfer and Pressure Drop for Short Pin-Fin Arrays With Pin-Endwall Fillet. J Heat Trans-T Asme 112(4):926–932

    Article  Google Scholar 

  7. Lawson SA, Thrift AA, Thole KA (2007) Heat transfer from multiple row arrays of low aspect ratio pin fins. Int J Heat Mass Transf 54(17–18):4099–4109

    Google Scholar 

  8. Chyu MK, Yen CH, Siw S (2007) Comparison of Heat Transfer From Staggered Pin Fin Arrays With Circular, Cubic and Diamond Shaped Elements. ASME Turbo Expo 2007: Power for Land, Sea, and Air, pp. 991–999

  9. Chyu MK, Siw SC, Moon HK (2009) Effects of Height-to-Diameter Ratio of Pin Element on Heat Transfer from Staggered Pin-Fin Arrays. ASME Turbo Expo 2009: Power for Land, Sea, and Air, pp. 705–713

  10. Xu J, Yao J, Su P, Lei J, Wu J, Gao T (2017) Heat Transfer and Pressure Loss Characteristics of Pin-Fins With Different Shapes in a Wide Channel. ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition

  11. Siw SC, Fradeneck AD, Chyu MK, Alvin MA (2015) The Effects of Different Pin-Fin Arrays on Heat Transfer and Pressure Loss in a Narrow Channel. ASME Turbo Expo 2015: Turbine Technical Conference and Exposition

  12. Schaedler TA, Jacobsen AJ, Torrents A, Sorensen AE, Lian J, Greer JR, Valdevit L, Carter WB (2011) Ultralight metallic microlattices. Science 334(6058):962–965

    Article  Google Scholar 

  13. Xiong J, Mines R, Ghosh R et al (2015) Advanced micro-lattice materials Adv Eng Mater 17(9):1253–1264

    Article  Google Scholar 

  14. Qu ZG, Wang TS, Tao WQ, Lu TJ (2012) A theoretical octet-truss lattice unit cell model for effective thermal conductivity of consolidated porous materials saturated with fluid. Heat Mass Transfer 48:1385–1395

    Article  Google Scholar 

  15. Wadley HNG (2006) Multifunctional periodic cellular metals. Phil Trans R Soc A 364(1838):31–68

    Article  Google Scholar 

  16. And DJS, Wadley HNG (2002) Cellular metal truss core sandwich structures. Adv Eng Mater 4(10):759–764

    Article  Google Scholar 

  17. Lim JH, Kang KJ (2006) Mechanical behavior of sandwich panels with tetrahedral and Kagome truss cores fabricated from wires. Int J Solids Struct 43(17):5228–5246

    Article  Google Scholar 

  18. Queheillalt DT, Wadley HNG (2009) Titanium alloy lattice truss structures. Mater Design 30(6):1966–1975

    Article  Google Scholar 

  19. Lan X, Feng S, Huang Q, Zhou T (2019) A comparative study of blast resistance of cylindrical sandwich panels with aluminum foam and auxetic honeycomb cores. Aerosp Sci Technol 87:37–47

    Article  Google Scholar 

  20. Duc ND, Seung-Eock K, Tuan ND, Tran P, Khoa ND (2017) New approach to study nonlinear dynamic response and vibration of sandwich composite cylindrical panels with auxetic honeycomb core layer. Aerosp Sci Technol 70:396–404

    Article  Google Scholar 

  21. Kim T, Zhao CY, Lu TJ, Hodson HP (2004) Convective heat dissipation with lattice-frame materials. Mech Mater 36:767–780

    Article  Google Scholar 

  22. Kim T, Hodson HP, Lu TJ (2004) Fluid-flow and endwall heat-transfer characteristics of an ultralight lattice-frame material. Int J Heat Mass Transf 47:1129–1140

    Article  Google Scholar 

  23. Kim T, Hodson HP, Lu TJ (2005) Contribution of vortex structures and flow separation to local and overall pressure and heat transfer characteristics in an ultralightweight lattice material. Int J Heat Mass Transf 48:4243–4264

    Article  Google Scholar 

  24. Ma Y, Yan H, Xie G (2020) Flow and thermal performance of sandwich panels with plate fins or/and pyramidal lattice. Appl Therm Eng 164: 114468

  25. Wang X, Wei K, Wang K, Yang X, Fang D (2020) Effective thermal conductivity and heat transfer characteristics for a series of lightweight lattice core sandwich panels. Appl Therm Eng 173: 115205

  26. Yan HB, Zhang QC, Chen W, Xie G, Dang J, Lu TJ (2020) An X-lattice cored rectangular honeycomb with enhanced convective heat transfer performance. Appl Therm Eng 166: 114687

  27. Joo JH, Rang BS, Rang KJ (2009) Experimental Studies on Friction Factor and Heat Transfer Characteristics through Wire-Woven Bulk Kagome Structure. Exp Heat Transfer 22:99–116

    Article  Google Scholar 

  28. Joo JH, Kang KJ, Kim T, Lu T (2011) Forced convective heat transfer in all metallic wire-woven bulk Kagome sandwich panels. Int J Heat Mass Transf 54:5658–5662

    Article  Google Scholar 

  29. Gao L, Sun YG (2014) Fluid flow and heat transfer characteristics of composite lattice core sandwich structures. J Thermophys Heat Tr 28(2):258–269

    Article  Google Scholar 

  30. Gao L, Sun YG (2015) Thermal control of composite sandwich structure with lattice truss cores. J Thermophys Heat Tr 29(1):47–54

    Article  Google Scholar 

  31. Gao L, Sun YG (2016) Active Cooling Performance of All-composite Lattice Truss Core Sandwich Structure. Heat Transf Res 47(12):1093–1108

    Article  Google Scholar 

  32. Yan HB, Zhang QC, Lu TJ, Kim T (2015) A lightweight X-type metallic lattice in single-phase forced convection. Int J Heat Mass Transf 83:273–283

    Article  Google Scholar 

  33. Xie G, Yan HB, Lu TJ, Yang X (2017) Convective heat transfer in a lightweight multifunctional sandwich panel with X-type metallic lattice core. Appl Therm Eng 127:1293–1304

    Article  Google Scholar 

  34. Jin X, Shen B, Yan H, Sunden B, Xie G (2018) Comparative evaluations of thermofluidic characteristics of sandwich panels with X-lattice and Pyramidal-lattice cores. Int J Heat Mass Transf 127:268–282

    Article  Google Scholar 

  35. Dong L, Bai WD, Chen W, Chyub MK (2020) Investigating the effect of element shape of the face-centered cubic lattice structure on the flow and endwall heat transfer characteristics in a rectangular channel. Int J Heat Mass Transf 153: 119579

  36. Kemerli U, Kahveci K (2020) Conjugate forced convective heat transfer in a sandwich panel with a Kagome truss core: The effects of strut length and diameter. Appl Therm Eng 167: 114794

  37. Hyun S, Karlsson AM, Torquato S (2003) Simulated Properties of Kagome and Tetragonal Truss Core Panels. Int J Solids Struct 40(25):6989–6998

    Article  MathSciNet  Google Scholar 

  38. Wang J, Evans AG, Dharmasena K (2003) On the performance of truss panels with Kagomé cores. Int J Solids Struct 40(25):6981–6988

    Article  Google Scholar 

  39. Yang G, Hou C, Zhao M (2019) Comparison of convective heat transfer for Kagome and tetrahedral truss-cored lattice sandwich panels. Sci Rep 9(1)

  40. Shen B, Yan H, Xue H (2018) The Effects of Geometrical Topology on Fluid Flow and Thermal Performance in Kagome Cored Sandwich Panels. Appl Therm Eng 142:79–88

    Article  Google Scholar 

  41. Shen B, Li Y, Yan H (2019) Heat transfer enhancement of wedge-shaped channels by replacing pin fins with Kagome lattice structures. Int J Heat Mass Transf 141:88–101

    Article  Google Scholar 

  42. Parbat SN, Zheng M, Li Y (2020) Experimental and Numerical Analysis of Additively Manufactured Inconel 718 Coupons With Lattice Structure. J Turbomach 142(6):1–40

    Article  Google Scholar 

  43. Xu L, Xi L, Zhao Z, Gao J, Li Y (2018) Numerical prediction of heat loss from a test ribbed rectangular channel using the conjugate calculations. Int Commun Heat Mass 96:98–108

    Article  Google Scholar 

  44. Xi L, Gao J, Xu L, Zhao Z, Li Y (2018) Study on heat transfer performance of steam-cooled ribbed channel using neural networks and genetic algorithms. Int J Heat Mass Transf 127:1110–1123

    Article  Google Scholar 

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (No.51876157) and Shaanxi Natural Science Foundation (No.2019JM-096).

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Authors and Affiliations

  1. State Key Laboratory of Mechanical Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, China

    Liang Xu, Hanghang Chen, Lei Xi, Yanhong Xiong, Jianmin Gao & Yunlong Li

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  1. Liang Xu
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  2. Hanghang Chen
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  3. Lei Xi
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Correspondence to Lei Xi.

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Xu, L., Chen, H., Xi, L. et al. Flow and heat transfer characteristics of a staggered array of Kagome lattice structures in rectangular channels. Heat Mass Transfer 58, 41–64 (2022). https://doi.org/10.1007/s00231-021-03100-2

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