论文标题
粘性流的管状理论
Tubular-body theory for viscous flows
论文作者
论文摘要
类似电缆的身体在许多跨学科系统中起着关键作用，但很难模拟。渐近理论（称为苗条的理论）是有效的，但适用于特定的制度，很难超越领先顺序。在这封信中，我们为粘性流中电缆状物体的表面牵引力开发了一种精确的细长理论。该理论将牵引力表示为第二种行为良好的一维弗雷姆积分方程的一系列解决方案。该过程可以简单地将其推广到其他系统。
Cable-like bodies play a key role in many interdisciplinary systems but are hard to simulate. Asymptotic theories, called slender-body theories, are effective but apply in specific regimes and can be hard to extend beyond leading order. In this letter we develop an exact slender-body-like theory for the surface traction of cable-like bodies in viscous flow. This theory expresses the traction as a series of solutions to a well-behaved one-dimensional Fredholm integral equation of the second kind. This process can be simply generalised to other systems.
