转鼓内混沌运动的特征
Characterization of chaotic motion in a rotating drum
摘要：
大量的研究已经证明了简单的流体加粒子系统产生复杂动力学行为的潜力。在这项工作中，我们研究了一个水平旋转鼓充满纯甘油和三个大，重球。滚筒的旋转导致球体级联和翻滚，从而彼此相互作用。我们发现了几个不同的行为的球体取决于鼓轮转速。更简单的状态包括球体保持良好分离，或者两个或所有三个球体聚集在一起并级联在一起的状态。我们还看到了两种更复杂的状态，其中两个或三个球体混乱地移动。我们描述这些混沌状态，并发现在许多方面，他们是相当不可预测的。这个实验作为一个简单的模型系统来演示流体动力系统中的混沌行为。
英文摘要：
Numerous studies have demonstrated the potential for simple fluid plus particle systems to produce complicated dynamical behavior. In this work, we study a horizontal rotating drum filled with pure glycerol and three large, heavy spheres. The rotation of the drum causes the spheres to cascade and tumble and thus interact with each other. We find several different behaviors of the spheres depending on the drum rotation rate. Simpler states include the spheres remaining well separated, or states where two or all three of the spheres come together and cascade together. We also see two more complex states, where two or three of the spheres move chaotically. We characterize these chaotic states and find that in many respects they are quite unpredictable. This experiment serves as a simple model system to demonstrate chaotic behavior in fluid dynamical systems.
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