纺丝液喷出流量的数学模型

Mathematical model for erupting flux of spinning dope

纺丝液喷出流量对中空纤维膜的形态和性能具有重要影响,而纺丝液的喷出流量与其黏度和压强关系密切。试验首先以二甲基乙酰胺为溶剂,聚砜为聚合物,聚乙烯基吡咯烷酮和丙酮为添加剂配制纺丝液,研究纺丝液喷出流量分别与其黏度和压力的关系;然后,研究纺丝液喷出流量数学模型;最后,以二甲基乙酰胺为溶剂,聚醚砜为聚合物,聚乙烯基吡咯烷酮和丙酮为添加剂配制纺丝液,对模型进行验证。研究表明:纺丝液喷出流量与黏度关系为Q∝μ-1.08,与压强关系为Q∝p1.18,对试验所用设备,纺丝液喷出流量Q=426μ-1.08p1.18。验证结果表明,该模型具有较普遍适用性,对中空纤维膜的制作和研究具有重要的指导意义。

The erupting flux of spinning dope has a great influence on the morphology and performance of hollow fiber membrane. It has close relation with its viscosity and its pressure. Taking dimethylformamide （DMAC） as solvent, polysalfone （PSF） as polymer, polyvinylpyrrolidone （PVP） and acetone as additives to prepare spinning dope, the relations between its erupting flux and pressure, viscosity were separately studied ; the model of spinning dope erupting flux was then analyzed; the validity of the model was finally verified with afore-made spinning dope. The results show that the relation between erupting flux and its viscosity can be expressed as Q ∝μ~^-1.08 ; the relation between erupting flux and its pressure can be expressed as Q ∝p^1.18; for those test-used equipment, the spinning dope flux Q = 426μ^-1.08 p^1.18 is set up. The verification result shows a broad applicability of the model. The model has an important guiding significance for preparation and study of the hollow fiber membrane.