方腔内耦合传热传质非对称流动数值模拟

doi:10.11949/0438-1157.20200694

摘要/Abstract

摘要：

对带有质热源的方腔内流体传热传质进行数值研究。针对不同Ra、Nc、Sr和Df，探究对称方腔内流体传热传质的分岔特性。结果表明：存在临界Ra_c使流体流动形态发生转变，当Ra<Ra_c时，流体流线、温度场和浓度场对称分布；当Ra>Ra_c时，流体发生偏斜。增大浮升力，流体更易发生分岔现象。增强Soret和Dufour效应可增强传热对称性并增大流体发生分岔的临界Rayleigh数。

关键词: 双扩散对流, 耦合作用, 质热源, 对称解, 分岔

Abstract:

The heat and mass transfer of fluid in a square cavity with a solutal and thermal source is numerically investigated. For different Rayleigh numbers, buoyancy ratio, Soret and Dufour numbers, the bifurcation characteristics of heat and mass transfer in a symmetrical square cavity are studied systematically. The results show that there is a critical Ra_c for onset of bifurcation that changes the fluid flow pattern. When Ra < Ra_c, the streamline, temperature and concentration are symmetrically distributed; when Ra > Ra_c, the transition from a symmetrical state to a stable asymmetric state is observed. The fluid is more prone to bifurcation with increasing of buoyancy. An increment to the Soret and Dufour effects enhances heat transfer symmetry and increases the critical Rayleigh number for breaking symmetry.

Key words: double diffusion convection, coupling effect, mass and thermal source, symmetric solution, bifurcation

中图分类号:

TK 124

李钰冰, 杨茉, 邓瑞英, 陆廷康, 戴正华. 方腔内耦合传热传质非对称流动数值模拟[J]. 化工学报, 2020, 71(S2): 127-134.

Yubing LI, Mo YANG, Ruiying DENG, Tingkang LU, Zhenghua DAI. Numerical simulation of asymmetric flow of coupled heat and mass transfer in a square cavity[J]. CIESC Journal, 2020, 71(S2): 127-134.

图/表 12

图1 物理模型

Fig.1 Physical model

图2 不同RaT作用下的流线图

Fig.2 Streamlines under different RaT

图3 不同RaS作用下的流线图

Fig.3 Streamlines under different RaS

图4 不同Ra方腔内稳定流场（Nc=1，Df=Sr=0.1）

Fig.4 Streamlines under different Ra (Nc=1，Df=Sr=0.1)

图5 不同Ra时方腔上壁面温度和浓度稳定值

Fig.5 Temperature and concentration on top wall of square cavity at different Ra

图6 Nc>-1时流体的流线图

Fig.6 Streamlines under Nc>-1

图7 Nc>-1时方腔上壁面温度和浓度值

Fig.7 Temperature and concentration on top wall of the square cavity under Nc>-1

图8 Nc<-1时方腔下壁面温度和浓度值

Fig.8 Temperature and concentration on bottom wall of square cavity under Nc<-1

图9 不同Sr时方腔上壁面温度和浓度稳定值(Df=0.1)

Fig.9 Temperature and concentration on bottom wall of square cavity at different Sr (Df=0.1)

图10 不同Sr和Df时方腔上壁面温度和浓度稳定值

Fig.10 Temperature and concentration on bottom wall of square cavity at different Sr and Df

图11 临界Rayleigh数随Sr和Df的变化 (Nc = 1)

Fig.11 Critical Rayleigh number varies with Soret and Dufour numbers (Nc=1)

图12 临界Rayleigh数随浮升力比的变化

Fig.12 Critical Rayleigh number varies with buoyancy ratio

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