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2007
Journal Article
Titel
Fiber dynamics in turbulent flows
Titel Supplements
Specific Taylor drag
Abstract
In [N. Marheineke and R. Wegener, SIAM J. Appl. Math., 66 (2006), pp. 1703-1726], an aerodynamic force concept for a general air drag model based on a stochastic k-epsilon description for a turbulent flow field is derived. The turbulence effects on the dynamics of a long, slender, elastic fiber are specifically modeled by a correlated random Gaussian force and in its asymptotic limit on a macroscopic fiber scale by Gaussian white noise with flow-dependent amplitude. The present paper states quantitative similarity estimates and numerical comparisons for the choice of a Taylor drag model in a given application.