一个通用的游泳者模型的普遍缩放规律
Bruno Ventéjou1, Thibaut Métivet2, Aurélie Dupont1
1LIPhy, Université Grenoble Alpes, CNRS, 38000 Grenoble, France.
Physical review letters
|April 18, 2025
概括
我们开发了一个简单的游泳者模型,使用力和扭矩二极体进行高效的3D流体动力学模拟. 该模型准确地预测了各种流动模式的推进和唤醒,并通过实验数据验证了通用缩放规律.
科学领域:
- 流体动力学 流体动力学
- 生物物理学的生物物理.
- 计算物理学的计算物理.
背景情况:
- 了解微游泳器推进对于生物物理学和流体动力学等领域至关重要.
- 现有的模型往往在各种水力动力学制度的准确性和效率方面扎.
- 模拟水生动物的集体行为需要计算上可行的模型.
研究的目的:
- 为了引入一个最小的,不变形的游泳者模型,使用力和扭矩双极.
- 为了实现微游泳器的准确和高效的3D纳维尔-斯托克斯计算.
- 为了建立跨不同雷诺兹数的游泳表现的普遍缩放规律.
主要方法:
- 开发了一个基于力和扭矩双极的最小游泳者模型.
- 对一系列雷诺兹数进行了3D纳维埃-斯托克斯模拟.
- 利用缩放参数从数值数据中推导出普遍规律.
- 将模型预测与各种微游泳器的实验数据进行比较.
主要成果:
- 该模型准确地复制了游泳者的推进力,并产生了唤醒,模仿鱼类般的流动.
- 数字探索产生了从低到高的雷诺兹数适用的普遍缩放规律.
- 理论缩放规律与实验性游泳表现非常一致,跨越斯托克斯到动荡政权.
- 该模型的效率允许对众多个体进行大规模模拟.
结论:
- 最小游泳者模型为研究水中运动和集体行为提供了强大的工具.
- 由此衍生的通用缩放定律为跨水力动力学制度的游泳效率提供了通用的理解.
- 这种通用模型有助于未来研究微游泳器组件的复杂动力学.
相关概念视频
01:12Modeling and Similitude
124
Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...
124
01:30Typical Model Studies
155
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
155
01:21Design Example: Creating a Hydraulic Model of a Dam Spillway
79
Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
79
01:04Hydrostatic Pressure Force on a Curved Surface
1.1K
Hydrostatic pressure on curved surfaces is a fundamental concept in fluid mechanics with broad applications in the civil engineering field. When fluid is in contact with a curved surface, as in a reservoir, dam, or storage tank, it exerts pressure that varies in magnitude and direction along the curved surface. To assess the total hydrostatic force exerted by the fluid on a curved structure, engineers typically isolate the fluid volume adjacent to the surface and analyze the forces acting on...
1.1K
01:11Buoyancy and Stability for Submerged and Floating Bodies
1.0K
In fluid mechanics, buoyancy and stability are key concepts for understanding the behavior of submerged and floating bodies. When a stationary body is fully or partially submerged in a fluid, the fluid exerts a force on the body known as the buoyant force. This force acts vertically upward through a point called the center of buoyancy, which is the center of the displaced fluid volume. According to Archimedes' principle, the magnitude of the buoyant force is equal to the weight of the fluid...
1.0K
01:08Newton's Third Law: Examples
20.3K
Newton's third law states that every action has an equal and opposite reaction. Consider a swimmer pushing off the side of a pool. They push against the wall of the pool with their feet and accelerate in the direction opposite to that of their push. This occurs because the wall exerts an equal and opposite force on the swimmer. Here, the forces do not cancel out each other as they are acting on different systems. In this case, there are two systems: the swimmer and the wall. If we select...
20.3K