Industrial dry spinning processes: algorithmic for a two-phase fiber model in airflows

The dry spinning of fibers can be described by three-dimensional multi-phase flow models that contain key effects like solvent evaporation and fiber-air interaction. Since the direct numerical simulation of the three-dimensional models is in general not possible, dimensionally reduced models are ded...

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Bibliographic Details
Published in:Journal of mathematics in industry 2020-04, Vol.10 (1), p.1-22, Article 8
Main Authors: Wieland, Manuel, Arne, Walter, Marheineke, Nicole, Wegener, Raimund
Format: Article
Language:English
Subjects:
Algorithms
Applications of Mathematics
Computer simulation
Direct numerical simulation
Dry spinning
ECMI 2018 - Progress in Industrial Mathematics
Fiber dynamics
Homotopy method
Integral equations
Math. Appl. in Environmental Science
Mathematical and Computational Biology
Mathematical and Computational Engineering
Mathematical Methods in Physics
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Parametric boundary value problem
Temperature profiles
Three dimensional flow
Three dimensional models
Two dimensional models
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Summary:The dry spinning of fibers can be described by three-dimensional multi-phase flow models that contain key effects like solvent evaporation and fiber-air interaction. Since the direct numerical simulation of the three-dimensional models is in general not possible, dimensionally reduced models are deduced. We recently developed a one-two-dimensional fiber model and presented a problem-tailored numerical solution strategy in Wieland et al. (J Comput Phys 384:326–348, 2019 ). However, in view of industrial setups with multiple fibers spun simultaneously the numerical schemes must be accelerated to achieve feasible simulation times. The bottleneck builds the computation of the radial concentration and temperature profiles as well as their cross-sectionally averaged values. In this paper we address this issue and develop efficient numerical algorithms.
ISSN:2190-5983
2190-5983
DOI:10.1186/s13362-020-00076-2