In this study, polyurethane (PU) filter membranes were modified with MIL-53(Al) in order to improve phenol removal efficiency. First, one-way analysis of variance (ANOVA) was used to determine that modifier dosage and temperature were significant influences, and pH had a small effect. Then, Design-Expert 13 software was used to derive higher-order fitting equations based on Box–Behnken design, and the parameters were optimized by a system of partial differential equations. Finally, the optimized parameters were obtained by solving the system of partial differential equations, and the reproducibility of the experiment was confirmed using a t-test. The results showed that the modified filter membranes significantly enhanced phenol removal efficiency by 93.34%, which verifies the accuracy of the model and the reproducibility of the experiment and provides theoretical basis and data support for the promotion of the modified membrane.
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