倾斜封闭方腔内自然对流换热的场协同分析

The analysis of natural convection heat transfer in a inclined closed square cavity by field synergy principle

采用场协同原理对倾斜封闭方腔内自然对流换热现象进行了研究。通过数值模拟获得了不同瑞利数(Ra=1~10~6)时倾斜封闭方腔内自然对流换热的协同关系,以及在一定Ra数下不同倾斜角φ对封闭方腔内自然对流换热的影响。结果表明:随着瑞利数Ra的增大,协同数Fc变小,其协同性越好。随着倾斜角φ的变化,当Ra≤10~3时,lg Fc的变化曲线近似呈现开口向上的抛物线型;当10~4≤Ra≤10~5时,lg Fc的变化曲线是单调的;当瑞利数Ra≥10~6时,lg Fc的变化曲线有2个极值和1个拐点。

Studied the phenomena of natural convection heat transfer in a inclined closed square cavity by field synergy principle. Numerical simulation is used to study the synergic relationship of natural convection in a square cavity in the different Rayleigh number( Ra = 1 ~ 10~6),and under the fixed-Ra number the influence on the natural convection of square cavity in the different angle. The results showed that: with theincreasing Rayleigh number,natural convection in a square cavity field coordination number lg Fc is smaller,the synergy is better. With the change of angle,when Ra is less than 10~3,the change of the curve of lg Fc approximate rendering parabolic law; when Ra is between 10~4 and 10~5,the curve of lg Fc is monotonic; when Ra is more than 10~6,the curve of lg Fc has two extremums and a point of inflection.