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Resources 16:

Uniaxial Spinning of Viscous Fibers
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Tags: fibersfree_boundary_value_problemspinning
Added by Martin on 20110712 16:11
Uniaxial Spinning of Viscous Fibers In the considered spinning processes a viscous fiber is obtained by the continuous extrusion of a molten granular through a narrow nozzle in direction of gravity. Thereby, crosssection and mean inflow velocity at the nozzle are given. The temporal evolution of the fiber length as well as the crosssections and velocities in the fiber domain are described by a simplified onedimensional model that can be deduced from the threedimensional NavierStokes equations for a Newtonian fluid via asymptotic analysis. Preparation and spinning of textile fibres Stokes and NavierStokes equations NavierStokes equations Free boundary problems for PDE 
Stochastic Air Drag Model for Fibers in Turbulent Flows
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Tags: fibersturbulent_flows
Added by Martin on 20110712 16:02
Stochastic Air Drag Model for Fibers in Turbulent Flows 
Inextensible Elastic Strings in Turbulent Flows
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Tags: elastic_stringsfibersturbulent_flows
Added by Martin on 20110712 15:23
Inextensible Elastic Strings in Turbulent Flows The model at hand is an extension of the {link:/AloeView/action/resourceDetailed?resourceId=n4qOwXC”Dynamics of Inextensible Elastic Strings”}. Here, two functions to model deterministic aerodynamic forces as well as stochastic ones due to turbulence have been incorporated. The stochastic term is a white noise and changes the type of the evolution equation from a PDE to a SPDE (stochastic partial differential equation). In ”Stochastic Air Drag Model for Fibers in Turbulent Flows” both functions are specified in terms of an air drag model and a model for the socalled turbulence drag amplitude. In this way an one way coupling of the dynamics of fibers and of turbulent flows might be realized. 
Dynamics of Viscous Jets
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Here, we use the description of the jet as a special onedimensional Cosserat continuum following the formulation in Antman  a geometrically correct onedimensional description based on p...
Tags: cosserat_rodsfibersrodsviscous_jets
Added by Martin on 20110712 12:25
Dynamics of Viscous Jets Viscous jets are of interest in many industrial applications, e.g. drawing, tapering and spinning of glass and polymer fibers. Especially in rotational spinning processes one has to consider curved instationary jets. Here, we use the description of the jet as a special onedimensional Cosserat continuum following the formulation in Antman  a geometrically correct onedimensional description based on partial differential equations. As for a classical Cosserat rod in elasticity, a jet in the threedimensional Euclidian space is geometrically characterized by a curve for the position of the jet and by a field of elements of the rotational group SO(3) for the orientation of its crosssections. In our jet model we make use of the socalled Kirchhoffconstraint, i.e. the crosssections are assumed to be perpendicular to the tangent of the curve. 
Dynamics of Inextensible Elastic Strings
Views: 289 Average Rating:
Tags: elastic_stringsfibers
Added by Martin on 20110712 12:22
Dynamics of Inextensible Elastic Strings The model at hand plays a central role for the simulation of fiber dynamics, e.g. in textile and nonwoven production processes. 
Dynamics of Elastic Rods
Views: 229 Average Rating:
Tags: cosserat_rodselastic_rodsfibersrods
Added by Martin on 20110712 12:06
Dynamics of Elastic Rods Elastic rods are considered in many fields of science and technology, for example in different production processes of fibers. For the simulation of their dynamics the correct description of the local and global physical properties and reasonable computation times are the essential requirements. Here, we use the description of the rod as a special onedimensional Cosserat continuum following the formulation in Antman  a geometrically correct onedimensional description based on partial differential equations. This type of modeling fulfills the above requirements with respect to simplicity and correctness.