Journal of Zhejiang University-SCIENCE A

, Volume 19, Issue 2, pp 158–170

# Numerical study of heat transfer characteristics of downward supercritical kerosene flow inside circular tubes

Article

## Abstract

The heat transfer characteristics of China RP-3 aviation kerosene flowing in a vertical downward tube with an inner diameter of 4 mm under supercritical pressures are numerically studied. A ten-species surrogate model is used to calculate the thermophysical properties of kerosene and the re-normalization group (RNG) k-ε turbulent model with the enhanced wall treatment is adopted to consider the turbulent effect. The effects of mass flow rate, wall heat flux, inlet temperature, and pressure on heat transfer are investigated. The numerical results show that three types of heat transfer deterioration exist for the aviation kerosene flow. The first type of deterioration occurred at the tube inlet region and is caused by the development of the thermal boundary layer, while the other two types are observed when the inner wall temperature or the bulk fuel temperature approaches the pseudo-critical temperature. The heat transfer coefficient increases with the increasing mass flow rate and the decreasing wall heat flux, while the inlet bulk fluid temperature only influences the starting point of the heat transfer coefficient curve plotted against the bulk fluid temperature. The increase of inlet pressure can effectively eliminate the deterioration due to the small variations of properties near the pseudo-critical point at relatively high pressure. The numerical heat transfer coefficients fit well with the empirical correlations, especially at higher pressures (about 5 MPa).

### Key words

Aviation kerosene Heat transfer deterioration Supercritical pressure Numerical study

# 圆管内向下流超临界航空煤油换热特性数值研究

## 概要

### 创新点

1. 分析超临界航空煤油的传热恶化现象;2. 揭示超临界航空煤油传热过程中传热恶化现象与质量流量、壁面热流、入口温度及压力的关系。

### 结论

1. 传热恶化是在壁面温度达到拟临界温度或流体平均温度达到临界温度时产生的;2. 换热系数随质量流量的增加或壁面热流的降低而增大;3. 通过提高煤油的压力可以显著降低恶化现象。

TK124

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### References

1. ANSYS, 2013. ANSYS FLUENT User’s Guide, Release 15.0. ANSYS, Inc, USA.Google Scholar
2. Bae YY, Kim HY, 2009. Convective heat transfer to CO2 at a supercritical pressure flowing vertically upward in tubes and an annular channel. Experimental Thermal and Fluid Science, 33(2):329–339. https://doi.org/10.1016/j.expthermflusci.2008.10.002
3. Dang G, Zhong F, Chen L, et al., 2013. Numerical investigation on flow and convective heat transfer of aviation kerosene at supercritical conditions. Science China Technological Sciences, 56(2):416–422. https://doi.org/10.1007/s11431-012-5075-3
4. Dang G, Zhong F, Zhang Y, et al., 2015. Numerical study of heat transfer deterioration of turbulent supercritical kerosene flow in heated circular tube. International Journal of Heat and Mass Transfer, 85(0):1003–1011. https://doi.org/10.1016/j.ijheatmasstransfer.2015.02.052
5. Deng H, Zhu K, Xu G, et al., 2012. Heat transfer characteristics of RP-3 kerosene at supercritical pressure in a vertical circular tube. Journal of Enhanced Heat Transfer, 19(5):409–421. https://doi.org/10.1615/JEnhHeatTransf.2012004966
6. Edwards T, 2003. Liquid fuels and propellants for aerospace propulsion: 1903–2003. Journal of Propulsion and Power, 19(6):1089–1107. https://doi.org/10.2514/2.6946
7. Huang D, Ruan B, Wu X, et al., 2015a. Experimental study on heat transfer of aviation kerosene in a vertical upward tube at supercritical pressures. Chinese Journal of Chemical Engineering, 23(2):425–434. https://doi.org/10.1016/j.cjche.2014.10.016
8. Huang D, Wu X, Wu Z, et al., 2015b. Experimental study on heat transfer of nanofluids in a vertical tube at supercritical pressures. International Communications in Heat and Mass Transfer, 63:54–61. https://doi.org/10.1016/j.icheatmasstransfer.2015.02.007
9. Jiang PX, Liu B, Zhao CR, et al., 2013. Convection heat transfer of supercritical pressure carbon dioxide in a vertical micro tube from transition to turbulent flow regime. International Journal of Heat and Mass Transfer, 56(1–2):741–749. https://doi.org/10.1016/j.ijheatmasstransfer.2012.08.038
10. Li W, Huang D, Xu GQ, et al., 2015. Heat transfer to aviation kerosene flowing upward in smooth tubes at supercritical pressures. International Journal of Heat and Mass Transfer, 85:1084–1094. https://doi.org/10.1016/j.ijheatmasstransfer.2015.01.079
11. Li X, Zhong F, Fan X, et al., 2010. Study of turbulent heat transfer of aviation kerosene flows in a curved pipe at supercritical pressure. Applied Thermal Engineering, 30(13):1845–1851. https://doi.org/10.1016/j.applthermaleng.2010.04.022
12. Li X, Huai X, Cai J, et al., 2011. Convective heat transfer characteristics of China RP-3 aviation kerosene at supercritical pressure. Applied Thermal Engineering, 31(14–15):2360–2366. https://doi.org/10.1016/j.applthermaleng.2011.03.036
13. Li Z, Wu Y, Tang G, et al., 2015. Comparison between heat transfer to supercritical water in a smooth tube and in an internally ribbed tube. International Journal of Heat and Mass Transfer, 84:529–541. https://doi.org/10.1016/j.ijheatmasstransfer.2015.01.047
14. Pizzarelli M, Urbano A, Nasuti F, 2010. Numerical analysis of deterioration in heat transfer to near-critical rocket propellants. Numerical Heat Transfer, Part A: Applications, 57(5):297–314. https://doi.org/10.1080/10407780903583016
15. Stigemeier B, Meyer M, Taghavi R, 2002. A thermal stability and heat transfer investigation of five hydrocarbon fuels: JP-7, JP-8, JP-8+100, JP-10, and RP-1. 38th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit, No. AIAA 2002-3873.Google Scholar
16. Urbano A, Nasuti F, 2013. Conditions for the occurrence of heat transfer deterioration in light hydrocarbons flows. International Journal of Heat and Mass Transfer, 65: 599–609. https://doi.org/10.1016/j.ijheatmasstransfer.2013.06.038
17. Wang J, Li H, Yu S, et al., 2011. Investigation on the characteristics and mechanisms of unusual heat transfer of supercritical pressure water in vertically-upward tubes. International Journal of Heat and Mass Transfer, 54(9–10):1950–1958. https://doi.org/10.1016/j.ijheatmasstransfer.2011.01.008
18. Wang K, Xu X, Wu Y, et al., 2015. Numerical investigation on heat transfer of supercritical CO2 in heated helically coiled tubes. The Journal of Supercritical Fluids, 99: 112–120. https://doi.org/10.1016/j.supflu.2015.02.001
19. Wang YZ, Hua YX, Meng H, 2010. Numerical studies of supercritical turbulent convective heat transfer of cryogenic-propellant methane. Journal of Thermophysics and Heat Transfer, 24(3):490–500. https://doi.org/10.2514/1.46769
20. Xu K, Meng H, 2015a. Analyses of surrogate models for calculating thermophysical properties of aviation kerosene RP-3 at supercritical pressures. Science China Technological Sciences, 58(3):510–518. https://doi.org/10.1007/s11431-014-5752-5
21. Xu K, Meng H, 2015b. Modeling and simulation of supercritical-pressure turbulent heat transfer of aviation kerosene with detailed pyrolytic chemical reactions. Energy & Fuels, 29(7):4137–4149. https://doi.org/10.1021/acs.energyfuels.5b00097
22. Yang C, Xu J, Wang X, et al., 2013. Mixed convective flow and heat transfer of supercritical CO2 in circular tubes at various inclination angles. International Journal of Heat and Mass Transfer, 64:212–223. https://doi.org/10.1016/j.ijheatmasstransfer.2013.04.033
23. Zhang C, Xu G, Gao L, et al., 2012. Experimental investigation on heat transfer of a specific fuel (RP-3) flows through downward tubes at supercritical pressure. The Journal of Supercritical Fluids, 72:90–99. https://doi.org/10.1016/j.supflu.2012.07.011
24. Zhang C, Xu G, Deng H, et al., 2013. Investigation of flow resistance characteristics of endothermic hydrocarbon fuel under supercritical pressures. Propulsion and Power Research, 2(2):119–130. https://doi.org/10.1016/j.jppr.2013.04.002
25. Zhong F, Fan X, Yu G, et al., 2009a. Heat transfer of aviation kerosene at supercritical conditions. Journal of Thermophysics and Heat Transfer, 23(3):543–550. https://doi.org/10.2514/1.41619
26. Zhong F, Fan X, Yu G, et al., 2009b. Thermal cracking of aviation kerosene for scramjet applications. Science in China Series E: Technological Sciences, 52(9):2644–2652. https://doi.org/10.1007/s11431-009-0090-8
27. Zhong F, Fan X, Yu G, et al., 2011. Thermal cracking and heat sink capacity of aviation kerosene under supercritical conditions. Journal of Thermophysics and Heat Transfer, 25(3):450–456. https://doi.org/10.2514/1.51399

© Zhejiang University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

## Authors and Affiliations

• Jing-zhi Zhang
• 1
• 2
• Jin-pin Lin
• 1
• 2
• Dan Huang
• 1
• 2
• Wei Li
• 1
1. 1.Department of Energy EngineeringZhejiang UniversityHangzhouChina
2. 2.Department of Energy Engineering, Collaborative Innovation Center of Advanced Aero-engineZhejiang UniversityHangzhouChina