论文标题
对流传热的随机参数激发
Stochastic parametric excitation of convective heat transfer
论文作者
论文摘要
我们通过随机垂直振动研究了水平层和矩形细胞中游离热对流的参数激发。我们使用的数学公式允许人们从下及以上和低级条件探索加热的情况。当前速度和温度扰动的第二矩的激发阈值得出。据报道,通过努塞尔特数量量化的系统的热通量与温度扰动的第二刻有关。因此,第二矩的随机激发的阈值给出了对流传热的激发的阈值。随机参数激发与高频周期性调制的影响的比较表明两者之间的差异很大。
We study the parametric excitation of the free thermal convection in a horizontal layer and a rectangular cell by random vertical vibrations. The mathematical formulation we use allows one to explore the cases of heating from below and above and the lowgravity conditions. The excitation threshold of the second moments of the current velocity and the temperature perturbations is derived. The heat flux through the system quantified by the Nusselt number is reported to be related to the second moment of temperature perturbations; therefore, the threshold of the stochastic excitation of second moments gives the threshold for the excitation of the convective heat transfer. Comparison of the stochastic parametric excitation to the effect of high-frequency periodic modulation reveals dramatic dissimilarity between the two.