Carbo Randy M, Smith Robert W M, Poese Matthew E
Graduate Program in Acoustics, The Pennsylvania State University, P.O. Box 30, State College, Pennsylvania 16804.
The Pennsylvania State University, Applied Research Laboratory, P.O. Box 30, State College, Pennsylvania 16804.
J Acoust Soc Am. 2014 Feb;135(2):654-68. doi: 10.1121/1.4861360.
The dynamic stability of Rayleigh-Bénard convection with vertical vibration in a cubic container is computationally modeled. Two parametric drives are considered (sinusoidal and rectangular), as well as two thermal boundary conditions on the sidewalls (insulating and conducting). The linearized equations are solved using a spectral Galerkin method and Floquet analysis. Both the synchronous and the subharmonic regions of instability are recovered. The conditions necessary for dynamic stability are reported for a range of Rayleigh numbers from critical to 10(7) and for Prandtl numbers in the range of 0.1-7. The linear model is compared to the data set available in the literature where the performance of an inverted pulse tube cryocooler is measured.
对立方形容器中具有垂直振动的瑞利 - 贝纳德对流的动态稳定性进行了计算建模。考虑了两种参数驱动（正弦和矩形）以及侧壁上的两种热边界条件（绝缘和传导）。使用谱伽辽金方法和弗洛凯分析求解线性化方程。恢复了不稳定的同步区域和次谐波区域。报告了从临界瑞利数到10(7)范围内一系列瑞利数以及0.1 - 7范围内普朗特数的动态稳定性所需条件。将线性模型与文献中测量倒置脉冲管制冷机性能的数据集进行了比较。
