高瑞利数下封闭腔内自然对流的数值模拟

阳祥 1; 陶文铨 2

doi:10.7652/xjtuxb201405005

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高瑞利数下封闭腔内自然对流的数值模拟

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- 高瑞利数下封闭腔内自然对流的数值模拟
- Numerical Simulations for Natural Convection with High Rayleigh Number in a Tall Rectangular Cavity
- 西安交通大学学报 2014年48卷第5期页码：27-31
- 作者机构：
  
  国家核电技术有限公司北京研发中心,北京,100190
- 作者简介：
- 基金信息：
  
  : 2013-08-21。作者简介: 阳祥(1980—),男,工程师。基金项目: 国家自然科学基金重点资助项目(51136004)
- DOI：10.7652/xjtuxb201405005
  中图分类号： TK124
- 网络首发：2014-05-10，
  
  纸质出版：2014
- 稿件说明：
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阳祥 1, 陶文铨 2. 高瑞利数下封闭腔内自然对流的数值模拟[J]. 西安交通大学学报, 2014,48(5):27-31.

Numerical Simulations for Natural Convection with High Rayleigh Number in a Tall Rectangular Cavity[J]. 2014, 48(5): 27-31.
阳祥 1, 陶文铨 2. 高瑞利数下封闭腔内自然对流的数值模拟[J]. 西安交通大学学报, 2014,48(5):27-31. DOI： 10.7652/xjtuxb201405005.

Numerical Simulations for Natural Convection with High Rayleigh Number in a Tall Rectangular Cavity[J]. 2014, 48(5): 27-31. DOI： 10.7652/xjtuxb201405005.

摘要

为了推广应用高瑞利数下的自然对流换热技术

有必要对自然对流流动与换热特性进行深入研究。采用不引入人工扰动的直接数值模拟方法

对发生在高宽比为4的封闭腔内的自然对流流动与换热进行了研究

分析了平均温度、平均主流速度、涡量和局部努塞尔数的分布特性。研究结果表明:从静止等温流体初始条件出发

不引入任何人工扰动自然对流可以顺利发展到湍流

节约了计算资源; 即便瑞利数等于10

自然对流的平均温度、平均主流速度、涡量和局部努赛尔数分布都具有边界层型流动和换热的特征; 在普朗特数为0.71～500的范围

当封闭腔内自然对流换热出现湍流换热特征时

局部瑞利数处于10

～10

量级。

Abstract

To generalize heat transfer technology of natural convection with high Rayleigh number

it is necessary to extensively investigate the characteristics of fluid flow and heat transfer by natural convection. For a tall rectangular cavity of an aspect ratio 4

direct numerical simulations are carried out without any artificial perturbations on the flow field

and the distributions of averaged physical quantities such as temperature

mainstream velocity

vorticity and local Nusselt number are analyzed. The results show that: 1)Starting under quiescent and isothermal flow conditions

the flow can be driven to turbulence without any artificial perturbations

which saves computational resources; 2)As Rayleigh numbers up to 10

the distributions of temperature

mainstream

velocity

vorticity and local Nusselt numbers for natural convection in the tall cavity are endowed with the similar features of those in boundary-layer flow on a heated vertical plate; and 3)With Prandtl number in range of 0.71-500 and local Rayleigh number of magnitudes 10

-10

heat transfer on the isothermal surfaces of tall cavity already presents the characteristics of turbulent flow.

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references

TIAN Y S, KARAYIANNIS T G. Low turbulence natural convection in an air filled square cavity: Part I The thermal and fluid flow fields[J]. International Journal of Heat and Mass Transfer, 2000, 43(6): 849-866.

TIAN Y S, KARAYIANNIS T G. Low turbulence natural convection in an air filled square cavity: Part II The turbulence quantities[J]. International Journal of Heat and Mass Transfer, 2000, 43(6): 867-884.

GIEL P, SCHMIDT F. An experimental study of high Rayleigh natural convection in an enclosure[C]∥Proceedings of the 8th International Heat Transfer Conference. San Francisco, USA: Hemisphere Publishing Corporation, 1986: 1459-1464.

PAOLUCCI S. Direct numerical simulation of two-dimensional turbulent natural convection in an enclosed cavity[J]. Journal of Fluid Mechanics, 1990, 215: 229-262.

TRIAS F X, SORIA M, OLIVA A. Direct numerical simulations of two-and three-dimensional turbulent natural convection flows in a differentially heated cavity of aspect ratio 4[J]. J Fluid Mech, 2007, 586(3): 259-293.

GEORGE W K. A theory for natural convection turbulent boundary layers next to heated vertical surfaces[J]. International Journal of Heat and Mass Transfer, 1979, 22(6): 813-826.

FARHANGNIA M, BIRINGEN S, PELTIER L J. Numerical simulation of two-dimensional buoyancy-driven turbulence in a tall rectangular cavity[J]. International Journal for Numerical Methods in Fluids, 1998, 23(12): 1311-1326.

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