Small Box–Behnken designs with orthogonal blocks

Pham, Tung-Dinh; Nguyen, Nam-Ky

doi:10.1016/j.spl.2013.10.019

Cited by 3 publications

(1 citation statement)

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“…Box-Behnken designs have served as a popular choice for second-order models, and have been widely used in completely randomized experiments, split-plot experiments and within the robust parameter design setting [25]. By choosing three different levels of the initial Cd 2+ concentration, the mixing ratio of biosurfactants (α: the ratio of the sophorolipid concentration to the total surfactant concentration) and pH and using the rejection coefficient and permeation flux of Cd 2+ as the two indexes, Minitab 16 was used to design the Box-Behnken response curve experiments.…”

Section: Box-behnken Response Curve Designmentioning

confidence: 99%

Optimization of Enhanced Ultrafiltration Conditions for Cd with Mixed Biosurfactants Using the Box-Behnken Response Surface Methodology

Chai

Yan

Zhang³

et al. 2019

Water

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A mixture of the environmentally friendly biosurfactants rhamnolipids and sophorolipids was used as a source of micelles in this study. The Box-Behnken design and response surface methodology was used to investigate the influence of factors on micellar-enhanced ultrafiltration (MEUF). Simulated Cd-containing wastewater was used for testing. Based on single-factor experiments, the initial Cd2+ concentration, biosurfactant mixing ratio (α) and pH were chosen as influential variables, and both the Cd2+ rejection coefficient and permeation flux were used as responses. A predictive model based on a quadratic polynomial regression equation was established to determine the optimized enhanced ultrafiltration conditions for Cd. The results show that the regression equation is extremely significant and fits the data accurately. The optimal enhanced ultrafiltration conditions are as follows: initial Cd2+ concentration of 10.0 mg/L, α of 0.30 and pH of 9.58. Under these conditions, the rejection coefficient and the permeation flux of Cd2+ are 99.14% and 37.36 L/m2·h, respectively. The experimental results confirm that the experimental values agree well with the values predicted by the model. Further, these results provide theoretical support for using MEUF to treat heavy metal-containing wastewater when biosurfactants are used for micelle formation.

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Section: Box-behnken Response Curve Designmentioning

confidence: 99%