Flow field and heat transfer properties in turbulent convection with local heating condition at the bottom wall

HU Jin; ZHANG Shengqi; XIA Zhenhua

doi:10.7638/kqdlxxb-2022.0008

English Version Journal Login

您当前的位置：

首页 >

文章列表页 >

Flow field and heat transfer properties in turbulent convection with local heating condition at the bottom wall

更新时间：2026-05-28

- Flow field and heat transfer properties in turbulent convection with local heating condition at the bottom wall
- Vol. 40, Issue 2, Pages: 208-214(2022)
- 作者机构：
  
  1. 浙江大学流体动力与机电系统国家重点实验室,杭州,310027
  2. 浙江大学航空航天学院,杭州,310027
  3. 南方科技大学广东省湍流基础研究与应用重点实验室,深圳,518055
  4. 北京大学湍流与复杂系统国家重点实验室,北京,100871
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2022.0008
  CLC： O375.5
- Published：2022
- 稿件说明：
移动端阅览
胡瑾, 章盛祺, 夏振华. 底面局部加热条件下热湍流的流场变化及传热规律[J]. 空气动力学学报, 2022, 40(2): 208−214.

HU Jin, ZHANG Shengqi, XIA Zhenhua. Flow field and heat transfer properties in turbulent convection with local heating condition at the bottom wall[J]. 2022, 40(2): 208-214.
胡瑾, 章盛祺, 夏振华. 底面局部加热条件下热湍流的流场变化及传热规律[J]. 空气动力学学报, 2022, 40(2): 208−214. DOI： 10.7638/kqdlxxb-2022.0008

HU Jin, ZHANG Shengqi, XIA Zhenhua. Flow field and heat transfer properties in turbulent convection with local heating condition at the bottom wall[J]. 2022, 40(2): 208-214. DOI： 10.7638/kqdlxxb-2022.0008.

摘要

在实际的自然对流现象与工业对流换热设备中常常存在非均匀热边界问题，底面局部加热就是其中的一类。本文使用直接数值模拟方法研究了

= 2、

= 1×10

条件下，加热长度

= 0.5时，不同加热位置对二维方腔内热湍流流场变化及传热规律的影响。其中，下壁面为恒温加热及绝热条件共存的混合边界条件，而上壁面依然为等温条件。将局部加热计算结果与经典Rayleigh-Bénard对流（RBC）进行比较，结果表明：局部加热条件会对冷热羽流混合和系统下壁面角涡的生长产生抑制作用，从而抑制了大尺度环流的反转；同时，加热位置越靠近下壁面中心，对应总动能和角动量的绝对值越大、振幅越小；局部加热系统通过调整加热位置可令系统传热效率最大化，最高可达RBC系统的73.2%。

Abstract

In Rayleigh-Bénard convection (RBC)

the flow is confined in an enclosed box heated from below and cooled from above. However

in many natural and engineering problems

the flow is not always heated on the whole bottom wall. In this paper

turbulent convection with local heating at the bottom wall in a two-dimensional square box is studied through direct numerical simulations. Here

the local heating is realized by setting a constant temperature at a local wall region of the bottom wall

and leaving the rest of the bottom wall to be adiabatic. The non-dimensional length of local heating region

= 0.5 is fixed. Three cases with

= 0

0.125 and 0.25

where

is the non-dimensional location of the far-left point of the local heating region

as well as the RBC case are simulated at Rayleigh number

= 1×10

and Prandtl number

= 2. The results show that the local heating conditions can restrain the growth of corner flow near the bottom wall

which leads to the suppression of large-scale circulation (LSC) reversal. Meanwhile

the closer the heating position is to the center of the wall

the greater the absolute values of angular momentum and the total kinetic energy

and the smaller the fluctuation amplitude of them. It is found that the total kinetic energy and the heat transfer efficiency of the three local heating cases reach 62.5%～72.5% and 68.1%～73.2%

respectively

of those of the RBC system

though the heating length is only half of the latter. In addition

the heat transfer efficiency can be maximized by properly adjusting the heating position

and it is increased by 7.4% for the case with

= 0.25 as compared with the

= 0 case. The temperature contours also show that the behavior of the raising hot plumes is quite different in the three cases.

关键词

Keywords

references

ZHOU Q, XIA K Q. Advances and outlook in turbulent Rayleigh-Bénard convection[J]. Advances in Mechanics, 2012, 42(3): 231-251. (in Chinese)

POLASHENSKI C, PEROVICH D, COURVILLE Z. The mechanisms of sea ice melt pond formation and evolution[J]. Journal of Geophysical Research: Oceans, 2012, 117(C1): C01001. DOI:10.1029/2011JC007231

CIESZELSKI R. A case study of Rayleigh-Bénard convection with clouds[J]. Boundary-Layer Meteorology, 1998, 88(2): 211-237. DOI:10.1023/a: 1001145803614

RIEHL H, YEH T C, MALKUS J S, et al. The north-east trade of the Pacific Ocean[J]. Quarterly Journal of the Royal Meteorological Society, 1951, 77(334): 598-626. DOI:10.1002/qj.49707733405

HENSHALL T. Mantle convection in super-earths[J]. Nature Reviews Physics, 2019, 1(3): 181. DOI:10.1038/s42254-019-0035-5

SATO T, MAEDA K, NAGATAKI S, et al. High-entropy ejecta plumes in Cassiopeia A from neutrino-driven convection[J]. Nature, 2021, 592(7855): 537-540. DOI:10.1038/s41586-021-03391-9

ZHANG S, FENG D L, SHI L, et al. A review of phase change heat transfer in shape-stabilized phase change materials (ss-PCMs) based on porous supports for thermal energy storage[J]. Renewable and Sustainable Energy Reviews, 2021, 135: 110127. DOI:10.1016/j.rser.2020.110127

WANG D, MIN C H, YANG X G, et al. Research on natural convection heat dissipation performance of electronic component radiator fins[J]. Journal of Thermal Science and Technology, 2021, 20(4): 313-317. (in Chinese)

LI M G, ZHENG C, ZHAO Q, et al. Anisotropic heat transfer of Ferro-nanofluid in partially heated rectangular enclosures under magnetic field[J]. Case Studies in Thermal Engineering, 2021, 26: 101145. DOI:10.1016/j.csite.2021.101145

VAN DER POEL E P, OSTILLA-MÓNICO R, DONNERS J, et al. A pencil distributed finite difference code for strongly turbulent wall-bounded flows[J]. Computers Fluids, 2015, 116: 10-16. DOI:10.1016/j.compfluid.2015.04.007

AHLERS G, GROSSMANN S, LOHSE D. Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection[J]. Reviews of Modern Physics, 2009, 81(2): 503-537. DOI:10.1103/revmodphys.81.503

CIONI S, CILIBERTO S, SOMMERIA J. Strongly turbulent Rayleigh–Bénard convection in mercury: comparison with results at moderate Prandtl number[J]. Journal of Fluid Mechanics, 1997, 335: 111-140. DOI:10.1017/s0022112096004491

AHLERS G, XU X. Prandtl-number dependence of heat transport in turbulent Rayleigh-Bénard convection[J]. Physical Review Letters, 2001, 86(15): 3320-3323. DOI:10.1103/PhysRevLett.86.3320

QIU X L, TONG P. Onset of coherent oscillations in turbulent Rayleigh-Bénard convection[J]. Physical Review Letters, 2001, 87(9): 094501. DOI:10.1103/PhysRevLett.87.094501

SILANO G, SREENIVASAN K R, VERZICCO R. Numerical simulations of Rayleigh–Bénard convection for Prandtl numbers between 10–1 and 104 and Rayleigh numbers between 105 and 109[J]. Journal of Fluid Mechanics, 2010, 662: 409-446. DOI:10.1017/s0022112010003290

GROSSMANN S, LOHSE D. Fluctuations in turbulent Rayleigh-Bénard convection: the role of plumes[J]. Physics of Fluids, 2004, 16(12): 4462-4472. DOI:10.1063/1.1807751

XI H D, LAM S, XIA K Q. From laminar plumes to organized flows: the onset of large-scale circulation in turbulent thermal convection[J]. Journal of Fluid Mechanics, 2004, 503: 47-56. DOI:10.1017/s0022112004008079

BAILEY S C C, HULTMARK M, SCHUMACHER J, et al. Measurement of local dissipation scales in turbulent pipe flow[J]. Physical Review Letters, 2009, 103: 014502. DOI:10.1103/physrevlett.103.014502

ZHOU Q, XIA K Q. Universality of local dissipation scales in buoyancy-driven turbulence[J]. Physical Review Letters, 2010, 104(12): 124301. DOI:10.1103/PhysRevLett.104.124301

BENZI R. Flow reversal in a simple dynamical model of turbulence[J]. Physical Review Letters, 2005, 95(2): 024502. DOI:10.1103/PhysRevLett.95.024502

ASSAF M, ANGHELUTA L, GOLDENFELD N. Rare fluctuations and large-scale circulation cessations in turbulent convection[J]. Physical Review Letters, 2011, 107(4): 044502. DOI:10.1103/PhysRevLett.107.044502

WANG Q, XIA S N, WANG B F, et al. Flow reversals in two-dimensional thermal convection in tilted cells[J]. Journal of Fluid Mechanics, 2018, 849: 355-372. DOI:10.1017/jfm.2018.451

JIANG H C, ZHU X J, MATHAI V, et al. Controlling heat transport and flow structures in thermal turbulence using ratchet surfaces[J]. Physical Review Letters, 2018, 120(4): 044501. DOI:10.1103/PhysRevLett.120.044501

ZHANG S Q, XIA Z H, ZHOU Q, et al. Controlling flow reversal in two-dimensional Rayleigh–Bénard convection[J]. Journal of Fluid Mechanics, 2020, 891: R4. DOI:10.1017/jfm.2020.210

ZHANG S Q, CHEN X, XIA Z H, et al. Stabilizing/destabilizing the large-scale circulation in turbulent Rayleigh–Bénard convection with sidewall temperature control[J]. Journal of Fluid Mechanics, 2021, 915: A14. DOI:10.1017/jfm.2021.58

TOPPALADODDI S, SUCCI S, WETTLAUFER J S. Roughness as a route to the ultimate regime of thermal convection[J]. Physical Review Letters, 2017, 118(7): 074503. DOI:10.1103/PhysRevLett.118.074503

ZHU X J, STEVENS R J A M, VERZICCO R, et al. Roughness-facilitated local 1/2 scaling does not imply the onset of the ultimate regime of thermal convection[J]. Physical Review Letters, 2017, 119(15): 154501. DOI:10.1103/PhysRevLett.119.154501

ZHU X, VERSCHOOF R A ", BAKHUIS D, et al. Wall roughness induces asymptotic ultimate turbulence[J]. Nature Physics, 2018, 14(4): 417-423. DOI:10.1038/s41567-017-0026-3"

WANG F, HUANG S D, XIA K Q. Thermal convection with mixed thermal boundary conditions: effects of insulating lids at the top[J]. Journal of Fluid Mechanics, 2017, 817: R1. DOI:10.1017/jfm.2017.121

COOPER C M, MORESI L N, LENARDIC A. Effects of continental configuration on mantle heat loss[J]. Geophysical Research Letters, 2013, 40(11): 2647-2651. DOI:10.1002/grl.50547

RIPESI P, BIFERALE L, SBRAGAGLIA M, et al. Natural convection with mixed insulating and conducting boundary conditions: low- and high-Rayleigh-number regimes[J]. Journal of Fluid Mechanics, 2014, 742: 636-663. DOI:10.1017/jfm.2013.671

BAKHUIS D, OSTILLA-MÓNICO R, VAN DER POEL E P, et al. Mixed insulating and conducting thermal boundary conditions in Rayleigh–Bénard convection[J]. Journal of Fluid Mechanics, 2018, 835: 491-511. DOI:10.1017/jfm.2017.737

VASILIEV A, SUKHANOVSKII A. Turbulent convection in a cube with mixed thermal boundary conditions: low Rayleigh number regime[J]. International Journal of Heat and Mass Transfer, 2021, 174: 121290. DOI:10.1016/j.ijheatmasstransfer.2021.121290

NANDUKUMAR Y, CHAKRABORTY S, VERMA M K, et al. On heat transport and energy partition in thermal convection with mixed boundary conditions[J]. Physics of Fluids, 2019, 31(6): 066601. DOI:10.1063/1.5095242

DE VAHL DAVIS G, JONES I P. Natural convection in a square cavity: a comparison exercise[J]. International Journal for Numerical Methods in Fluids, 1983, 3(3): 227-248. DOI:10.1002/fld.1650030304

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

SUGIYAMA K, NI R, STEVENS R J A M, et al. Flow reversals in thermally driven turbulence[J]. Physical Review Letters, 2010, 105(3): 034503. DOI:10.1103/PhysRevLett.105.034503

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Numerical study of supercooled water droplets continuously impacting a superhydrophobic surface with different spacings

Heat transfer models for porous media in porous-walled turbulent flows

Effect of sidewall thermal conductivity on Rayleigh-Bénard convection: a numerical study

Reviews and prospects of boundary modulation in turbulent thermal convection

Numerical simulation of gravity effect on heat transfer in single bubble pool boiling

Related Author

WU Jie

ZHAO JiaQuan

ZHENG Wei

DONG Yuhong

ZHANG Jinlong

ZHAO Zehao

LIU Miaomiao

SUN Dejun

Related Institution

School of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan

Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai

Shanghai Institute of Aircraft Mechanics and Control, Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai

Department of Modern Mechanics, University of Science and Technology of China, Hefei

CAS Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing

AI问答

⁰