Mathematical Force Concept for the One-Way-Coupling of Dynamic Fibers and Turbulent Flows

For the modeling of turbulence effects on the dynamics of a long slender elastic fiber, a mathematical aerodynamic force concept is presented in this work. It yields a correlated random Gaussian force and respectively uncorrelated Gaussian white noise with flow-dependent amplitude in the asymptotic limit on the macroscopic fiber scale. Numerical comparisons of the correlated and uncorrelated force effects on the fiber behavior show coinciding results. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)