Advanced Fiber Spinning Technology by Toshi Takajima

By Toshi Takajima

Probably the most attention-grabbing advancements of the previous couple of many years within the box of fiber creation were the results of in depth examine in jap and learn institutes. This booklet used to be initially released in eastern by way of the Society of Fiber technological know-how and know-how, Japan, with a view to current an intensive clinical and technological overview of advances in fiber creation, and is now released in English. as well as supplying an in depth evaluation of modern breakthroughs in fiber spinning know-how, this renowned publication illustrates how R&D will pay

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In the following part of this chapter, the fundamental equations describing the melt spinning process accompanied by crystallization will be developed. After this the oriented crystallization, which is closely related to the structure formation during the spinning process, will be discussed and the differences between oriented and unoriented crystallization will be highlighted. Then the importance of gelation in the process of solution spinning and of phase separation will be mentioned. Finally, examples of mathematical simulation of high speed melt spinning will be demonstrated.

3 Inflow of heat accompanying transfer of matter For the polymer, the specific heat at constant pressure, the heat of crystallization, the crystallinity and the density are expressed as Cp , A H, X and p respectively. We assume that Cp , and A H are independent of T and that the enthalpy per unit mass (ll) is a function of T and X. 5] 8z Accordingly, by summation of such quantities for all the three directions, - V . 6] Using the equation of continuity op/ot = - V . 4), - V. 11 ] where K = Kc / (p Cp ) is the thermal diffusivity.

5 Conservation of matter The following equation is derived on the basis of the balance of the matter which flows into the volume element as shown in Fig. 2. 6 Conservation of momentum Based on the balance of the momentum which flows into the volume element (Fig. 2). 14] where P is the pressure, in a normal sense, of isotropic fluid, p the excess stress tensor and g the acceleration of gravity. 15] Under the assumption of non-compressibility, P has no physical meaning, but will be determined by the boundary condition.

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