中文摘要：

选定轴向通量分布系数和比能耗产水效率作为目标函数，建立中空膜纤维在两相流场中外形尺寸的优化模型．根据数值模拟分析可知：短纤维的膜污染趋势较小，但相应的比能耗效率随之下降；扩大纤维内径有利于提高膜的抗污染性。但会减小膜纤维填充密度而使比能耗产水率降低．当膜纤维内外径为常数（DF0．6mm、Do=1．1mm）、设计通量为16～22t／（m2·h）时，最佳的膜纤维长度为1．45～1．86m；而当膜纤维内径在O．5～1．0mm范围内时，随着内径的增加，最佳的膜纤维长度范围为1．24～3．72m．

英文摘要：

The optimization model of fiber dimension of membrane bioreactor is presented by selecting the axial flux distribution coefficient and energy consumption product as objective functions. The numerical simulation shows that fiber length is proportional to membrane fouling and inversely proportional to energy consumption product. Increasing fiber diameter could prevent fouling, but it reduces packing density and leads to less energy consumption product. A fiber length range 1.45-1.86 m was recommended when the design flux is 16- 22 L/（m2·h） with the inner diameter 0.6 mm and outer diameter 1.1 mm. With the inner fiber increasing from 0.5 mm to 1 mm, the calculated fiber length is 1.24-5.72 .m.