Modeling of retardance in ferrofluid with Taguchi-based multiple regression analysis

Jing-Fung Lin; Jyh-Shyang Wu; Jer-Jia Sheu

doi:10.1117/12.2076687

4 March 2015 Modeling of retardance in ferrofluid with Taguchi-based multiple regression analysis

Jing-Fung Lin, Jyh-Shyang Wu, Jer-Jia Sheu

Proceedings Volume 9302, International Conference on Experimental Mechanics 2014; 930229 (2015) https://doi.org/10.1117/12.2076687
Event: International Conference on Experimental Mechanics 2014, 2014, Singapore, Singapore

Abstract

The citric acid (CA) coated Fe₃O₄ ferrofluids are prepared by a co-precipitation method and the magneto-optical retardance property is measured by a Stokes polarimeter. Optimization and multiple regression of retardance in ferrofluids are executed by combining Taguchi method and Excel. From the nine tests for four parameters, including pH of suspension, molar ratio of CA to Fe₃O₄, volume of CA, and coating temperature, influence sequence and excellent program are found. Multiple regression analysis and F-test on the significance of regression equation are performed. It is found that the model F value is much larger than Fcritical and significance level P <0.0001. So it can be concluded that the regression model has statistically significant predictive ability. Substituting excellent program into equation, retardance is obtained as 32.703°, higher than the highest value in tests by 11.4%.

Citation Download Citation

Jing-Fung Lin, Jyh-Shyang Wu, and Jer-Jia Sheu "Modeling of retardance in ferrofluid with Taguchi-based multiple regression analysis", Proc. SPIE 9302, International Conference on Experimental Mechanics 2014, 930229 (4 March 2015); https://doi.org/10.1117/12.2076687

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