Study on heat and mass transfer and nonlinear characteristics with heat and mass source in cavity

doi:10.11949/0438-1157.20190530

Abstract

Abstract:

In this paper, a square cavity with mass and heat source was studied with the background of fire. According to the different Rayleigh number(Ra) and buoyance ratio Nc, S_rand D_f, the heat and mass transfer law and nonlinear characteristics of the fluid in the cavity are discussed. The results show that the critical Ra_c causes the fluid flow to change from the heat-induced driving flow to the convection-driven flow. As Ra increases the heat and mass transfer of the surface of the heat and mass source, the fluid changes from steady-state flow to oscillating state. When Nc>-1, the convective heat transfer coefficient and the convective mass transfer coefficient increase, and the fluid transforms from steady state to double-period oscillation, and finally to chaos. Increasing S_r and D_f can increase flow and heat and mass transfer.

Key words: mass and heat source, numerical simulation, heat and mass transfer, oscillation, chaos

摘要：

以火灾为背景，对一个带有质热源的方腔进行了研究。针对不同Ra，浮升力比Nc，S_r和D_f，探讨了腔内流体的传热传质规律及其非线性特性。结果表明，存在临界 $R a c$ 使流体流动由导热驱动流动转变为对流驱动流动，随着Ra增大质热源表面传热传质强度增加，流体由稳态流动转为振荡流动。当Nc>-1时，对流传热系数和对流传质系数增大，流体由稳态转化为倍周期振荡，最后转化为混沌。增大S_r和D_f可增强传热传质能力。

关键词: 质热源, 数值模拟, 传热传质, 振荡, 混沌

CLC Number:

TK 124

Yubing LI, Mo YANG, Tingkang LU, Zhenghua DAI. Study on heat and mass transfer and nonlinear characteristics with heat and mass source in cavity[J]. CIESC Journal, 2019, 70(S2): 130-137.

李钰冰, 杨茉, 陆廷康, 戴正华. 具有质热源的方腔内对流传热传质及其非线性特性[J]. 化工学报, 2019, 70(S2): 130-137.

Figures/Tables 10

Fig.1 Physical model

Fig.2 Concentration varies with Ra(Nc=0)

Fig.3 Nu and Sh vary with Ra(Nc=0)

Fig.4 Concentration varies with Nc(Ra = 104)

Fig.5 Nu and Sh vary with different Nc(Ra=104)

Fig.6 Effects of Sr and Df on heat and mass transfer

Fig.7 Phase diagram under different Nc(Nc>-1)

Fig.8 Fluid oscillation(Ra=105, Nc=-1)

Fig.9 Streamline diagrams when Ra=104 as initial condition

Fig.10 Phase diagrams (a) and spectrograms (b)(Nc=-1)

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