Slender Body Theory for the Dynamics of Curved Viscous Fibers
Slender Body Theory for the Dynamics of Curved Viscous Fibers
- The paper at hand presents a slender body theory for the dynamics of a curved inertial viscous Newtonian ber. Neglecting surface tension and temperature dependence, the ber ow is modeled as a three-dimensional free boundary value problem via instationary incompressible Navier-Stokes equations. From regular asymptotic expansions in powers of the slenderness parameter leading-order balance laws for mass (cross-section) and momentum are derived that combine the unrestricted motion of the ber center-line with the inner viscous transport. The physically reasonable form of the one-dimensional ber model results thereby from the introduction of the intrinsic velocity that characterizes the convective terms.
- The paper at hand presents a slender body theory for the dynamics of a curved inertial viscous Newtonian ber. Neglecting surface tension and temperature dependence, the ber ow is modeled as a three-dimensional free boundary value problem via instationary incompressible Navier-Stokes equations. From regular asymptotic expansions in powers of the slenderness parameter leading-order balance laws for mass (cross-section) and momentum are derived that combine the unrestricted motion of the ber center-line with the inner viscous transport. The physically reasonable form of the one-dimensional ber model results thereby from the introduction of the intrinsic velocity that characterizes the convective terms.
Author: | S. Panda, R. Wegener, N. Marheineke |
---|---|
URN: | urn:nbn:de:hbz:386-kluedo-14153 |
Series (Serial Number): | Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (86) |
Document Type: | Report |
Language of publication: | German |
Year of Completion: | 2006 |
Year of first Publication: | 2006 |
Publishing Institution: | Fraunhofer-Institut für Techno- und Wirtschaftsmathematik |
Date of the Publication (Server): | 2006/03/08 |
Tag: | Asymptotic expansions; Curved viscous fibers; Fluid dynamics; Free boundary value problem; Navier-Stokes equations; Slender body theory |
Faculties / Organisational entities: | Fraunhofer (ITWM) |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |