TY  - RPRT
A1  - Panda, S.
A1  - Wegener, R.
A1  - Marheineke, N.
T1  - Slender Body Theory for the Dynamics of Curved Viscous Fibers
T1  - Slender Body Theory for the Dynamics of Curved Viscous Fibers
N2  - 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.
N2  - 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.
T3  - Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) - 86 
KW  - Curved viscous fibers
KW  - Fluid dynamics
KW  - Navier-Stokes equations
KW  - Free boundary value problem
KW  - Asymptotic expansions
KW  - Slender body theory
Y1  - 2006
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1713
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-14153
ER  -