The Dynamics of Viscous Fibers

  • This work deals with the mathematical modeling and numerical simulation of the dynamics of a curved inertial viscous Newtonian fiber, which is practically applicable to the description of centrifugal spinning processes of glass wool. Neglecting surface tension and temperature dependence, the fiber flow 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 fiber center-line with the inner viscous transport. The physically reasonable form of the one-dimensional fiber model results thereby from the introduction of the intrinsic velocity that characterizes the convective terms. For the numerical simulation of the derived model a finite volume code is developed. The results of the numerical scheme for high Reynolds numbers are validated by comparing them with the analytical solution of the inviscid problem. Moreover, the influence of parameters, like viscosity and rotation on the fiber dynamics are investigated. Finally, an application based on industrial data is performed.
  • Dynamik viskoser Fäden

Export metadata

  • Export Bibtex
  • Export RIS

Additional Services

Share in Twitter Search Google Scholar
Author:Satyananda Panda
URN (permanent link):urn:nbn:de:hbz:386-kluedo-19408
Advisor:Axel Klar
Document Type:Doctoral Thesis
Language of publication:English
Year of Completion:2006
Year of Publication:2006
Publishing Institute:Technische Universität Kaiserslautern
Granting Institute:Technische Universität Kaiserslautern
Acceptance Date of the Thesis:2006/03/21
Tag:"Slender-Body"-Theorie; Gebogener viskoser Faden; Strömungsdynamik
Curved viscous fibers; Fluid dynamics; Slender body theory
GND-Keyword:Asymptotik ; Faden; Mathematisches Modell
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik
MSC-Classification (mathematics):30E25 Boundary value problems [See also 45Exx]
41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) [See also 30E15]
76D05 Navier-Stokes equations [See also 35Q30]

$Rev: 12793 $