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Published in:
2006 | OriginalPaper | Chapter
Modeling of Turbulence Effects on Fiber Motion
Author : N. Marheineke
Published in: Progress in Industrial Mathematics at ECMI 2004
Publisher: Springer Berlin Heidelberg
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This work deals with the motion of a long slender elastic fiber in a turbulent flow. Neglecting the fiber effect on the turbulence, a centered differentiable Gaussian field is derived for the randomly fluctuating component of the flow velocity. The construction of the initial double-velocity correlation tensor is hereby based on the
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model and Kolmogorov’s universal equilibrium theory. Its dynamic is described by Taylor’s hypothesis of frozen turbulence. Using an empirical drag coefficient, the developed fluctuation field leads to a correlated stochastic force that can numerically be treated as white noise with flow dependent amplitude.