Tubular-body theory for viscous flows

Cable-like bodies play a key role in many interdisciplinary systems but are hard to simulate. Asymptotic theories, called slender-body effective apply specific regimes and can be extend beyond leading order. In this letter we develop an exact slender-body-like theory for the surface traction of cable-like viscous flow. This expresses as series solutions well-behaved one-dimensional Fredholm integral equation second kind. process simply generalised other systems.