Numerical simulation of natural convection in a porous enclosure with double sinusoidal heating boundary conditions

WU Feng; WANG Gang; MA Xiaoxun

doi:10.3969/j.issn.0438-1157.2013.04.013

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Numerical simulation of natural convection in a porous enclosure with double sinusoidal heating boundary conditions

更新时间：2025-12-10

- Numerical simulation of natural convection in a porous enclosure with double sinusoidal heating boundary conditions
- CIESC Journal Issue 4, Pages: 1217-1225(2013)
- 作者机构：
  
  1. 西北大学化工学院,陕北能源先进化工利用技术教育部工程研究中心,陕西省洁净煤转化工程技术中心,陕西,西安,710069
  2. 兰州理工大学土木工程学院,甘肃,兰州,730050
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0438-1157.2013.04.013
  CLC： K124
- Online First：05 April 2013，
  
  Published：05 April 2013
- 稿件说明：
移动端阅览
WU Feng, WANG Gang, MA Xiaoxun. Numerical simulation of natural convection in a porous enclosure with double sinusoidal heating boundary conditions[J]. CIESC Journal, 2013, (4): 1217-1225.
DOI：

WU Feng, WANG Gang, MA Xiaoxun. Numerical simulation of natural convection in a porous enclosure with double sinusoidal heating boundary conditions[J]. CIESC Journal, 2013, (4): 1217-1225. DOI： 10.3969/j.issn.0438-1157.2013.04.013.

摘要

采用局部非热平衡模型及方腔左右两侧壁面温度正弦波变化边界条件

数值分析了具有内热源多孔介质方腔内的稳态非达西自然对流传热。探讨了不同温度波动参数N及波动相位差τ对方腔内自然对流传热的影响。结果表明:方腔两侧壁面出现了周期性分布的温度场

随着N值的增加

方腔内流场及温度场分布逐渐趋向于壁面均一温度边界情况。壁面局部Nu沿着高度方向呈现周期性分布。相对于均一温度的边界条件而言

正弦波温度边界条件在一定程度上强化了多孔介质方腔内的整体传热过程

随着N值的增加

方腔处于温度波动边界时的散热值Q逐渐趋向于均一温度边界时的情况。

Abstract

Steady non-Darcian natural convection in a square cavity filled with a heat-generating porous medium is studied numerically with the local thermal non-equilibrium model

with SIMPLER algorithm in the spatial coordinates.The top and bottom walls of the enclosure are adiabatic and the left and right walls are partially heated and cooled by sinusoidal temperature profile.The results show that the temperature fields near the left wall and local Nusselt number of left wall vary periodically because of the sinusoidal boundary condition.When the parameter N for temperature fluctuations is larger enough

the streamlines

temperature fields of fluid and solid in the enclosure are similar to the results when the temperature at boundaries are uniform

while the heat transfer is enhanced by the sinusoidal boundary conditions compared with the uniform temperature boundary conditions.

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