Fiber Dynamics in Turbulent Flows: Specific Taylor Drag

In: SIAM Journal on Applied Mathematics. Volume 68, Number 1, P. 1--23, 2007

Authors

• N. Marheineke
• Raimund Wegener

Abstract

In the first part of this series "Fiber Dynamics in Turbulent Flows - General Modeling Framework", an aerodynamic force concept for a general air drag model was derived on top of a stochastic $k$-$\epsilon$ description for a turbulent flow field. The turbulence effects on the dynamics of a long slender elastic fiber are particularly 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. This second part now presents quantitative similarity estimates and numerical comparisons for the concrete choice of a Taylor drag model in a given application.

BibTeX

 
@Article{ Marheineke.Wegener07taylor, 
   title = { Fiber Dynamics in Turbulent Flows: Specific Taylor Drag }, 
   author = { N. Marheineke and Raimund Wegener },    
   journal = { SIAM Journal on Applied Mathematics },  
   volume = { 68 }, 
   number = { 1 },       
   pages = { 1--23 },   
   year = 2007, 
} 

---

This publication belongs to the project Fimod.