Flory分布及其高阶矩——级数sum from n=1 to ∞n~Nr~n的求和

最近我们在成纤高聚物反应工程数学模拟研究过程中,多次碰到Flory分布高阶统计矩的问题——级数?的求和.本文目的在于得到一个N为任意正整数的通式,对于任何N均可直接套用,而且这个结果也可作为一个不难实现的计算机用算法.首先用数学归纳法证明一组恒等式然后令藉助上述恒等式可得(公式)因此式中a_n~N符合一组递推关系,并可简明地表为三角阵.     

Study on the Model of Thermal Channel Spinning Process for PET Polymer

A mathematical model to describe the TCS process inPET high-speed melt-spinning is established.The de-velopment of crystallinity,molecular orientation andmorphological features of high-speed-spun PET fiberin TCS process is investigated at take-up speeds rangingfrom 3600-4400 m/min and thermal channel tempera-tures ranging from 160-200℃ by simulation.The pro-files of tensile force,running velocity,temperature,bi-refringence,crystallinity and diameter in the TCS spin-line for various process conditions are obtained.Thepredicted results using this model are compared with themeasured crystallinty,diameter and birefringence.Theresults indicate that they are in fairly good agreement.The"necking point"in the TCS spinline can be predictedby this model,and its position changes with the corre-sponding process parameters such as take-up speed andthermal channel temperature.It is found that the neck-ing point moves towards the spinneret when the take-upspeed or the thermal channel temperature increases.     

Necking Point in PET High-speed Fiber Spinning

Cross-over method is established to predict necking point for PET high-speed fiber spuming. Even slowly crystallizing polymers such as PET can crystallize on the spinline at sufficiently high spinning speed. The development of running velocity, temperature, crystallinity and rheological force is investigated for the take-up velocity over a range of 6 000 - 10 000 m/min. The pos-ition of necking point, temperature rise and abrupt increase of crystallinity move closer to the spinneret with the increase of take-up velocity.     

调节剂对缩聚物相对分子质量分布及特性粘度的影响

运用概率统计的方法推导了调节剂与缩聚物相对分子质量及相对分子质量分布的关系式。用已内酰胺开环缩聚反应进行了实验验证。指出:调节剂的官能度对相对分子质量分布有较大的影响。聚合物的特性粘度不仅是相对分子质量的函数,也是相对分子质量分布的函数,并得出了聚酰胺-6特性粘度与数均相对分子质量及相对分子质量分布指数的经验关系式。     

Modeling of Solid-state Polycondensation of Poly (ethylene terephthalate)

A mathematical model has been developed to handle the reactions in Poly(ethylene terephthalate) (PET) undergoing polycondensation reactions in the solid state. The effect of temperature on chain mobility was considered to estimate the rate constants of chemical reactions. The polymer crystalline fraction is modeled as containing only repeat units, thus concentrating end groups and conden-sates in the amorphous fraction. This model is compared with PET reaction data with good results.     

用新型流化床处理印染废水的研究

采用新型流化床处理某印染废水,其脱色率可达96%～100%,COD 去除率达80%～90%,BOD_5去除率 80%～90%,初步探讨了该处理系统的反应机理.     

星型尼龙6纤维的力学性能研究

采用熔融挤出的方法制备尼龙6星型聚合物纤维，对所得纤维的强度、伸长、模量和回弹率进行测试，并考察了星型尼龙6的应力松弛，结果表明，随三元酸含量减少，纤维强度逐步增加，但三元 酸含量减少到一定程度，强度基本保持一定值；三元酸含量较高的星型尼龙6纤维弹性比线型链高一些，当三元酸含量进一步提高时，弹性又能所下降；三元酸含量较高的纤维，应力松弛较慢。     

改进的尼龙6固相缩聚模型及其模拟

根据尼龙6固相缩聚反应动力学基础,建立了尼龙6固相缩聚两相两段模型。按末端基官能团分布的影响,将固相缩聚模型分为两段,同时考虑了结晶对尼龙6聚合反应的影响。用更加符合实际的手段获得预聚体切片的初始值,重新优化获得模型最佳参数值。     

Study on Synthesis and Characterization of Functional PS Microspheres Modified by Polyperoxide (PPX)

Peroxy functionalized polystyrene core was synthesized by emulsion polymerization using PPX as inisurf. The second stage polymerization was carried out by direct grafting of shell monomers (BuA and MMA) to the surface of functionalized PS seed latex particles which contain labile peroxy groups. The reaction kinetics of both of the two stage polymerization, the particle size measurement, DSC analysis were given.     

Some Remarks on the Degree of Crystallinity Measured on DSC

A modified mathematical model based on the melting and recrystallization of an initial distribution of melting temperatures predicts the melting behavior of polymer in differential scanning calorimetry ( DSC ) , taking into account of changes in heat of fusion with melting temperature of crystal and average heat capacity of sample. It has been used to analytically prove that the crystallinity measured on a DSC diagram could not be equal to the weight percentage of crystalline state in the initial specimen. The deviation of the measured crystallinity, as observed relevant to the melting and recrystallization processes, is caused by the changes of the heat of fusion with the melting temperature of crystals, as well as the difference of heat capacities of liquid and solid state polymer. Furthermore, upper and lower limits of the deviation have been discussed.