Journal of University of Chinese Academy of Sciences >
Convection heat transfer of cold water in a non-isothermal Taylor-Couette system
Received date: 2024-02-08
Accepted date: 2024-04-28
Online published: 2024-05-29
This paper conducts a direct numerical simulation of the convective heat transfer of cold water in a Taylor-Couette system with a high-temperature and rotating inner cylinder, aiming to elucidate the flow features and heat transfer characteristics under different density inversion parameters. For this purpose, multiple density inversion parameters were selected to study the evolution of flow states from natural convection to turbulence. By examining the hydrodynamic and thermal behaviors of cold water across various parameter variations, this paper reveals the diversity of flow regimes and the tight association between heat transfer characteristics and flow features. With the increase in Reynolds number, the flow undergoes two transitions. The initial transition is from a buoyancy-dominated regime to a spiral vortex flow. Pronounced density inversion effects intensify the axial flow’s suppression of radial heat transfer, manifesting a minimal value of heat transfer near
Tianyu LI , Yuhui CAO . Convection heat transfer of cold water in a non-isothermal Taylor-Couette system[J]. Journal of University of Chinese Academy of Sciences, 2026 , 43(3) : 326 -335 . DOI: 10.7523/j.ucas.2024.037
| [1] | Lappa M. Rotating thermal flows in natural and industrial processes[M]. Chichester, Sussex: John Wiley & Sons, 2012: 413-422. DOI:10.1002/9781118342411 . |
| [2] | Lian W L, Chang W M, Xuan Y M. Numerical investigation on flow and thermal features of a rotating heat pipe[J]. Applied Thermal Engineering, 2016, 101: 92-100. DOI: 10.1016/j.applthermaleng.2016.02.110 . |
| [3] | Donnelly R J. Taylor-Couette flow: the early days[J]. Physics Today, 1991, 44(11): 32-39. DOI: 10.1063/1.881296 . |
| [4] | Lee Y N, Minkowycz W J. Heat transfer characteristics of the annulus of two coaxial cylinders with one cylinder rotating[J]. International Journal of Heat and Mass Transfer, 1989, 32(4): 711-722. DOI: 10.1016/0017-9310(89)90218-4 . |
| [5] | Fénot M, Bertin Y, Dorignac E, et al. A review of heat transfer between concentric rotating cylinders with or without axial flow[J]. International Journal of Thermal Sciences, 2011, 50(7): 1138-1155. DOI: 10.1016/j.ijthermalsci.2011.02.013 . |
| [6] | Vivès C. Effects of a forced Couette flow during the controlled solidification of a pure metal[J]. International Journal of Heat and Mass Transfer, 1988, 31(10): 2047-2062. DOI: 10.1016/0017-9310(88)90116-0 . |
| [7] | Shi L, Hof B, Rampp M, et al. Hydrodynamic turbulence in quasi-Keplerian rotating flows[J]. Physics of Fluids, 2017, 29(4): 044107. DOI: 10.1063/1.4981525 . |
| [8] | Rüdiger G, Seelig T, Schultz M, et al. The stratorotational instability of Taylor-Couette flows with moderate Reynolds numbers[J]. Geophysical & Astrophysical Fluid Dynamics, 2017, 111(6): 429-447. DOI: 10.1080/03091929.2017.1382487 . |
| [9] | Andereck C D, Liu S S, Swinney H L. Flow regimes in a circular Couette system with independently rotating cylinders[J]. Journal of Fluid Mechanics, 1986, 164: 155-183. DOI: 10.1017/S0022112086002513 . |
| [10] | Lei Y, Farouk B. Three-dimensional mixed convection flows in a horizontal annulus with a heated rotating inner circular cylinder[J]. International Journal of Heat and Mass Transfer, 1992, 35(8): 1947-1956. DOI: 10.1016/0017-9310(92)90197-Z . |
| [11] | Kang C, Yang K S, Mutabazi I. Thermal effect on large-aspect-ratio Couette-Taylor system: numerical simulations[J]. Journal of Fluid Mechanics, 2015, 771: 57-78. DOI: 10.1017/jfm.2015.151 . |
| [12] | Bilson M, Bremhorst K. Direct numerical simulation of turbulent Taylor-Couette flow[J]. Journal of Fluid Mechanics, 2007, 579: 227-270. DOI: 10.1017/S0022112007004971 . |
| [13] | Dong S. Direct numerical simulation of turbulent Taylor-Couette flow[J]. Journal of Fluid Mechanics, 2007, 587: 373-393. DOI: 10.1017/S0022112007007367 . |
| [14] | Ostilla-Mónico R, van der Poel E P, Verzicco R, et al. Boundary layer dynamics at the transition between the classical and the ultimate regime of Taylor-Couette flow[J]. Physics of Fluids, 2014, 26(1): 015114. DOI: 10.1063/1.4863312 . |
| [15] | Snyder H A, Karlsson S K F. Experiments on the stability of Couette motion with a radial thermal gradient[J]. The Physics of Fluids, 1964, 7(10): 1696-1706. DOI: 10.1063/1.1711076 . |
| [16] | Ball K S, Farouk B. On the development of Taylor vortices in a vertical annulus with a heated rotating inner cylinder[J]. International Journal for Numerical Methods in Fluids, 1987, 7(8): 857-867. DOI: 10.1002/fld.1650070806 . |
| [17] | Ball K S, Farouk B, Dixit V C. An experimental study of heat transfer in a vertical annulus with a rotating inner cylinder[J]. International Journal of Heat and Mass Transfer, 1989, 32(8): 1517-1527. DOI: 10.1016/0017-9310(89)90073-2 . |
| [18] | Ball K S, Farouk B. A flow visualization study of the effects of buoyancy on Taylor vortices[J]. Physics of Fluids A: Fluid Dynamics, 1989, 1(9): 1502-1507. DOI: 10.1063/1.857328 . |
| [19] | Ball K S, Farouk B. Bifurcation phenomena in Taylor-Couette flow with buoyancy effects[J]. Journal of Fluid Mechanics, 1988, 197: 479-501. DOI: 10.1017/S0022112088003337 . |
| [20] | Teng H, Liu N S, Lu X Y, et al. Direct numerical simulation of Taylor-Couette flow subjected to a radial temperature gradient[J]. Physics of Fluids, 2015, 27(12):125101. DOI: 10.1063/1.4935700 . |
| [21] | Khawar O, Baig M F, Sanghi S. Taylor-Couette flows undergoing orthogonal rotation subject to thermal stratification[J]. Physics of Fluids, 2021, 33(3): 035107. DOI: 10.1063/5.0035546 . |
| [22] | Leng X Y, Zhong J Q. Mutual coherent structures for heat and angular momentum transport in turbulent Taylor-Couette flows[J]. Physical Review Fluids, 2022, 7(4): 043501. DOI: 10.1103/PhysRevFluids.7.043501 . |
| [23] | Ho C J, Tu F J. An investigation of transient mixed convection heat transfer of cold water in a tall vertical annulus with a heated rotating inner cylinder[J]. International Journal of Heat and Mass Transfer, 1993, 36(11): 2847-2859. DOI: 10.1016/0017-9310(93)90104-E . |
| [24] | Cao Y H, Tong J W. Rotating thermal flow of water near its density inversion point in a vertical annulus: flow regime transition and heat transfer enhancement[J]. International Journal of Heat and Mass Transfer, 2022, 199:123470.DOI: 10.1016/j.ijheatmasstransfer.2022.123470 . |
| [25] | 仝家炜, 曹玉会. 内圆柱旋转的Taylor-Couette系统中冷水热对流的数值模拟[J]. 中国科学院大学学报, 2024, 41(2): 176-187. DOI: 10.7523/j.ucas.2022.051 . |
| [26] | Gebhart B, Mollendorf J C. A new density relation for pure and saline water[J]. Deep Sea Research, 1977, 24(9): 831-848. DOI:10.1016/0146-6291(77)90475-1 . |
| [27] | Huang X J, Li Y R, Zhang L, et al. Turbulent Rayleigh-Bénard convection of cold water near its maximum density in a vertical cylindrical container[J]. International Journal of Heat and Mass Transfer, 2018, 116: 185-193. DOI: 10.1016/j.ijheatmasstransfer.2017.09.021 . |
| [28] | Li Y R, Yuan X F, Wu C M, et al. Natural convection of water near its density maximum between horizontal cylinders[J]. International Journal of Heat and Mass Transfer, 2011, 54(11/12): 2550-2559. DOI: 10.1016/j.ijheatmasstransfer.2011.02.006 . |
| [29] | Wei T, Koster J N. Density inversion effect on transient natural convection in a rectangular enclosure[J]. International Journal of Heat and Mass Transfer, 1994, 37(6): 927-938. DOI: 10.1016/0017-9310(94)90218-6 . |
| [30] | Shishkina O, Stevens R J A M, Grossmann S, et al. Boundary layer structure in turbulent thermal convection and its consequences for the required numerical resolution[J]. New Journal of Physics, 2010, 12(7): 075022. DOI: 10.1088/1367-2630/12/7/075022 . |
| [31] | Usman M, Son J H, Park I S. A low-Rayleigh transition into chaos for natural convection inside a horizontal annulus at Prandtl number 0.1[J]. International Journal of Heat and Mass Transfer, 2021, 179: 121658. DOI: 10.1016/j.ijheatmasstransfer.2021.121658 . |
| [32] | Kedia R, Hunt M L, Colonius T. Numerical simulations of heat transfer in Taylor-Couette flow[J]. Journal of Heat Transfer, 1998, 120(1): 65-71. DOI: 10.1115/1.2830066 . |
/
| 〈 |
|
〉 |