Schmoranzer D, Král'ová M, Pilcová V, Vinen W F, Skrbek L
Faculty of Mathematics and Physics, Charles University, 121 16 Prague, Czech Republic.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jun;81(6 Pt 2):066316. doi: 10.1103/PhysRevE.81.066316. Epub 2010 Jun 28.
We report on an experimental study of the behavior of a number of commercially available quartz tuning forks oscillating in a classical cryogenic fluid, in the form of either liquid helium I or gaseous helium, extending our previous studies [M. Blazkova Phys. Rev. E 75, 025302 (2007)]. Measurements of the damping of the oscillations allowed us to deduce the drag on the prong of a fork, as a function of the velocity with which the prong moves, for various sizes of fork and various oscillation frequencies. Transitions to turbulent flow have been identified, and the dependence of the critical velocity, expressed as a dimensionless critical Keulegan-Carpenter number, on the dimensionless Stokes number has been established. These measurements have not allowed us to visualize the flow, so we have carried out visualization experiments with oscillating rods in water, the rod dimensions, and the frequencies of oscillation, being chosen so that the relevant dimensionless parameters are similar to those for the prongs of the forks. Some information about the nature of the instability that leads to turbulence has been obtained in this way, and the results for the critical Keulegan-Carpenter number for the rods in water have been compared with values for the tuning forks in a cryogenic fluid.
我们报告了一项实验研究,该研究针对一些市售石英音叉在经典低温流体(液氦I或气态氦)中的振荡行为展开,扩展了我们之前的研究[M. Blazkova,《物理评论E》75,025302 (2007)]。通过测量振荡的阻尼,我们得以推断不同尺寸音叉和不同振荡频率下,音叉叉臂上的阻力与叉臂运动速度的函数关系。已识别出向湍流的转变,并确定了以无量纲临界柯列根-卡朋特数表示的临界速度与无量纲斯托克斯数之间的关系。这些测量无法让我们可视化流体流动,因此我们在水中对振荡杆进行了可视化实验,选择杆的尺寸和振荡频率,以便相关无量纲参数与音叉叉臂的相似。通过这种方式获得了一些关于导致湍流的不稳定性本质的信息,并将水中杆的临界柯列根-卡朋特数结果与低温流体中音叉的相应值进行了比较。