Fiber Dynamics in Turbulent Flows: General Modeling Framework

The paper at hand deals with the modeling of turbulence effects on the dynamics of a long slender elastic fiber. Independent of the choice of the drag model, a general aerodynamic force concept is derived on the basis of the velocity field for the randomly fluctuating component of the flow. Its cons...

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Bibliographic Details
Published in:SIAM journal on applied mathematics 2006-01, Vol.66 (5), p.1703-1726
Main Authors: Nicole Marheineke, Wegener, Raimund
Format: Article
Language:English
Subjects:
Aerodynamic forces
Energy spectrum
Flow velocity
Hypotheses
Isotropy
Spectral energy distribution
Tensors
Turbulence
Turbulence models
Turbulent flow
Velocity
Velocity distribution
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Summary:The paper at hand deals with the modeling of turbulence effects on the dynamics of a long slender elastic fiber. Independent of the choice of the drag model, a general aerodynamic force concept is derived on the basis of the velocity field for the randomly fluctuating component of the flow. Its construction as a centered differentiable Gaussian field complies thereby with the requirements of the stochastic k-ϵ turbulence model and Kolmogorov's universal equilibrium theory on local isotropy.
ISSN:0036-1399
1095-712X
DOI:10.1137/050637182