Modified SST k-ω-γ Model and Prediction of Laminar to Turbulent Flow Transition in Helical Tube

Cai Yuntong; Zhao Houjian; Li Xiaowei; Su Yang; Lu Yiming; Guo Zhangpeng; Liu Fang

doi:10.13832/j.jnpe.2024.06.0055

Volume 45 Issue 6

Dec. 2024

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Article Navigation > Nuclear Power Engineering > 2024 > 45(6): 55-62

Cai Yuntong, Zhao Houjian, Li Xiaowei, Su Yang, Lu Yiming, Guo Zhangpeng, Liu Fang. Modified SST k-ω-γ Model and Prediction of Laminar to Turbulent Flow Transition in Helical Tube[J]. Nuclear Power Engineering, 2024, 45(6): 55-62. doi: 10.13832/j.jnpe.2024.06.0055

Citation:

Cai Yuntong, Zhao Houjian, Li Xiaowei, Su Yang, Lu Yiming, Guo Zhangpeng, Liu Fang. Modified SST k-ω-γ Model and Prediction of Laminar to Turbulent Flow Transition in Helical Tube[J]. Nuclear Power Engineering, 2024, 45(6): 55-62. doi: 10.13832/j.jnpe.2024.06.0055

Citation:

Cai Yuntong, Zhao Houjian, Li Xiaowei, Su Yang, Lu Yiming, Guo Zhangpeng, Liu Fang. Modified SST k-ω-γ Model and Prediction of Laminar to Turbulent Flow Transition in Helical Tube[J]. Nuclear Power Engineering, 2024, 45(6): 55-62. doi: 10.13832/j.jnpe.2024.06.0055

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Modified SST k-ω-γ Model and Prediction of Laminar to Turbulent Flow Transition in Helical Tube

doi: 10.13832/j.jnpe.2024.06.0055

1.
School of Nuclear Science and Engineering, North China Electric Power University, Beijing, 102206, China
2.
Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing, 100084, China

Received Date: 2023-12-18
Rev Recd Date: 2024-10-09
Publish Date: 2024-12-17

Abstract

Abstract

Helical tube heat exchangers are widely used in various fields due to compactness and good heat transfer performance. Different from the flow in a straight pipe, the fluid will be subjected to centrifugal force when flowing in a helical tube. Due to the existence of centrifugal force, the critical Reynolds number for the transition from laminar to turbulent flow in the helical tube increases with the increasing of helical curvature ratios. In the current investigation, the transition process from laminar to turbulent flow in the helical tube is studied by numerical method. By analyzing the relationship between the resistance coefficient and Reynolds number, the accuracy of simulating the transition process by the shear stress transport (SST) k-ω-γ-Re_θ model and SST k-ω-γ model is compared, and the effects of different inlet turbulence intensities (5% and 10%) on the calculation results are analyzed. The SST k-ω-γ-Re_θ model is more sensitive to inlet turbulent intensities, while the SST k-ω-γ model is less affected by inlet turbulent intensities. The critical Reynolds number obtained by SST k-ω-γ model is larger than the critical Reynolds number calculated by the empirical correlation in the literature. In this paper, by adjusting the empirical coefficient of γ transport equation in SST k-ω-γ model, it is found that C_TU1 has a significant influence on the onset of the transition process. With the same helical curvature ratio, the critical Reynolds number increases with the increasing of C_TU1. In the current investigation, based on the existing empirical formula, the C_TU1 for different helical curvature ratios (δ=0.02, 0.04, 0.06, and 0.11) are determined, and the correlation between helical curvature and C_TU1 is obtained by fitting. The accuracy of the modified SST k-ω-γ model in simulating the laminar and turbulent friction factors in helical tubes is verified, and the differences of velocity, turbulent kinetic energy and turbulent viscosity in the calculation results of SST k-ω model and modified SST k-ω-γ model are compared.
- Helical tube,
- Friction factor,
- Laminar flow,
- Turbulent flow,
- Transition

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References(16)

References

[1]	ZHAO H J, LI X W, WU X X. New friction factor equations developed for turbulent flows in rough helical tubes[J]. International Journal of Heat and Mass Transfer, 2016, 95: 525-534. doi: 10.1016/j.ijheatmasstransfer.2015.12.035
[2]	ZHAO H J, LI X W, WU X X. New friction factor and Nusselt number equations for turbulent convection of liquids with variable properties in circular tubes[J]. International Journal of Heat and Mass Transfer, 2018, 124: 454-462. doi: 10.1016/j.ijheatmasstransfer.2018.03.082
[3]	李晓伟,吴莘馨,张作义,等. 高温气冷堆示范工程螺旋管式直流蒸汽发生器工程验证试验[J]. 清华大学学报: 自然科学版,2021, 61(4): 329-337.
[4]	LI X W, GAO W K, SU Y, et al. Thermal analysis of HTGR helical tube once through steam generators using 1D and 2D methods[J]. Nuclear Engineering and Design, 2019, 355: 110352. doi: 10.1016/j.nucengdes.2019.110352
[5]	LANGTRY R B, MENTER F R. Correlation-based transition modeling for unstructured parallelized computational fluid dynamics codes[J]. AIAA Journal, 2009, 47(2): 2894-2906.
[6]	CONTENT C, HOUDEVILLE R. Application of the γ-R_θ laminar-turbulent transition model in Navier-Stokes computations[C]//40th Fluid Dynamics Conference and Exhibit. Chicago: AIAA, 2010.
[7]	MALAN P, SULUKSNA K, JUNTASARO E. Calibrating the γ-Re_θ transition model for commercial CFD[C]//47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition. Orlando: AIAA, 2009.
[8]	GRABE C, KRUMBEIN A. Extension of the γ-Re_θt model for prediction of crossflow transition[C]//52nd Aerospace Sciences Meeting. National Harbor: AIAA, 2014.
[9]	MEDIDA S, BAEDER J. A new crossflow transition onset criterion for RANS turbulence models[C]//21st AIAA Computational Fluid Dynamics Conference. San Diego: AIAA, 2013.
[10]	DASSLER P, KOZULOVIC D, FIALA A. Transport equation for roughness effects on laminar-turbulent transition[C]//The 15th International Conference on Fluid Flow Technologies. Budapest, Hungary: CMFF, 2012.
[11]	MENTER F R, SMIRNOV P E, LIU T, et al. A one-equation local correlation-based transition model[J]. Flow, Turbulence and Combustion, 2015, 95(4): 583-619. doi: 10.1007/s10494-015-9622-4
[12]	ABRAHAM J P, SPARROW E M, GORMAN J M, et al. Application of an intermittency model for laminar, transitional, and turbulent internal flows[J]. Journal of Fluids Engineering, 2019, 141(7): 071204. doi: 10.1115/1.4042664
[13]	DI PIAZZA I, CIOFALO M. Transition to turbulence in toroidal pipes[J]. Journal of Fluid Mechanics, 2011, 687: 72-117. doi: 10.1017/jfm.2011.321
[14]	ZHAO H J, LI X W, WU Y J, et al. Friction factor and Nusselt number correlations for forced convection in helical tubes[J]. International Journal of Heat and Mass Transfer, 2020, 155: 119759. doi: 10.1016/j.ijheatmasstransfer.2020.119759
[15]	ITO H. Theoretical and experimental investigation concerning the flow through curved pipes[C]//Mem Inst High Speed Mech. Tohoku University, 1959.
[16]	MORI Y, NAKAYAMA W. Study of forced convective heat transfer in curved pipes (2nd report, turbulent region)[J]. International Journal of Heat and Mass Transfer, 1967, 10(1): 37-59.