Modeling of turbulence effects on fiber motion

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 k-epsilon 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.