Fiber dynamics in turbulent flows: Specific taylor drag

Marheineke N, Wegener R (2007)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2007

Journal

SIAM Journal on Applied Mathematics Society for Industrial and Applied Mathematics

Publisher: Society for Industrial and Applied Mathematics

Book Volume: 68

Pages Range: 1-23

Journal Issue: 1

DOI: 10.1137/06065489X

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-ε 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. © 2007 Society for Industrial and Applied Mathematics.

Authors with CRIS profile

Nicole Marheineke Professur für Wissenschaftliches Rechnen

Involved external institutions

Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM) / Fraunhofer Institute for Industrial Mathematics DE Germany (DE)

How to cite

APA:

Marheineke, N., & Wegener, R. (2007). Fiber dynamics in turbulent flows: Specific taylor drag. SIAM Journal on Applied Mathematics, 68(1), 1-23. https://doi.org/10.1137/06065489X

MLA:

Marheineke, Nicole, and Raimund Wegener. "Fiber dynamics in turbulent flows: Specific taylor drag." SIAM Journal on Applied Mathematics 68.1 (2007): 1-23.

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