Fiber spinning simulation

Shimizu, J., Okui, N. and Kikutani, T Simulation of dynamics and structure formation, in High-Speed Fiber Spinning, Ziabicki, A. and Kawai, H. (Eds), Wiley, New York, 1985, pp. 173-201. 

The mathematical formulation of the fiber-spinning process is meant to simulate and predict the hydrodynamics of the process and the relationship between spinning conditions and fiber structure. It involves rapid extensional deformation, heat transfer to the surrounding quenching environment, air drag on the filament surface, crystallization under rapid axial-orientation, and nonisothermal conditions. 

The polystyrene simulation followed the experiments of Bell and Edie (12) with good agreement. Figure 14.8 shows the simulation results for fiber spinning nylon-6.6 with a draw ratio of 40. The figure demonstrates the wealth of information provided by the model. It shows the velocity, temperature, axial normal stress, and crystallinity fields along the threadline. We see the characteristic exponential-like drop in diameter with locally (radially) constant but accelerating velocity. However, results map out the temperature, stress, and crystallinity fields, which show marked variation radially and axially. 

Fig. 14.11 Schematic representation of fiber spinning process simulation scheme showing the multiple scale simulation analysis down to the molecular level. This is the goal of the Clemson University-MIT NSF Engineering Research Center for Advanced Engineering Fibers and Films (CAEFF) collaboration. CAEFF researchers are addressing fiber and film forming and structuring by creating a multiscale model that can be used to predict optimal combinations of materials and manufacturing conditions, for these and other processes.

The development of physical methods for texturizing proteins has significantly amplified their use in several conventional and simulated foods. The principal techniques of physical modification which have been thoroughly reviewed are thermoplastic extrusion, fiber spinning and steam texturization (3,4,5). 

Some of the material in this chapter is covered in the texts by Middleman, Pearson, and Tadmor and Gogos cited previously. The standard text on the mechanics of fiber spinning, which predates most of the published work on spinline simulation, is... 

Figure 11.5. Transfer function between final area and inlet velocity for isothermal, low-speed spinning of a Newtonian liqnid. (a) Amplitude ratio (b) phase angle. Reprinted from Devereux, Computer Simulation of the Melt Fiber Spinning Process, Ph.D. dissertation, U. California, Berkeley, 1994.

Devereux, B. D., Computer Simulation of the Melt Fiber Spinning Process, Ph.D. dissertation. University of California, Berkeley, 1994. 

Fiber spinning, ductless siphon. Low ri. Process simulator. Sample prep easy. Entrance condition. Corrections g, Fd. Photo... 

Numerical simulation of the fiber-spinning process began with the early work of Matovich and Pearson [92], who analyzed the spinning of a Newtonian liquid and arrived at an analytical solution. Attempts were then made to analyze the process with differential constitutive models. Early work by Denn et al. [93] considered the upper converted Maxwell model, including nonisothermal effects [94]. Later, Gagon and Denn [95] used the PTT model and included nonisothermal effects to simulate... 

Mitsoulis, E. and Beauhre, M. (2000) Numerical simulation of rheological effects in fiber spinning. Adv. Polym. Technol, 19, 155-172. 

The simulation of nonisothermal fiber spinning of PET at intermediate spinning speeds by George (1982) is worth mentioning at this point. His model works well for spinning speeds from 1000 to 3000 m/min. For PET with an intrinsie viseosity (IV) equal to 0.675 dL/g (1 dL = 100 cm ), which is a measure of moleeular weight, extrusion temperatures... 

Kase, S. 1985. Mathematical Simulation of Melt Spinning Dynamics. In A. Ziabicki and H. Kawai, Eds. High-Speed Fiber Spinning (WUey, Hoboken, NJ). 

Kase, S., Mathematical Simulation of Melt Spinning Dynamics Steady-State Conditions and Transient Behavior , in High-Speed Fiber Spinning Science and Engineering Aspects, Editors Ziabicki A., and Kawai, H., Krieger Publishing Company, 1991. 

---