Multi-objective optimization of geometrical parameters of laterally perforated on silt fin by gray relation analysis based on Taguchi method

In this paper, slit fin with lateral perforations are presented and the optimal parameters of the perforation on the silt fin are determined. The effects of the three design parameters of perforation length H, perforation height P and tilt angle theta on the j and f-factor are analyzed using gray relation analysis (GRA) base on the Taguchi method (TM). Numerical simulations were performed for different combinations of the three geometric parameters for 16 cases. Based on the Taguchi method (single-objective optimization) analysis, out of the three perforation pa-rameters, the perforation length H exhibited the most pronounced impact on the j-factor, boasting a substantial contribution ratio of 33.1 %. The contribution ratios of the perforation length H, height P, and tilt angle theta influencing the f-factor were determined to be 31.1 %, 46.2 %, and 18.4 %, respectively. The optimal combi-nation of parameters for perforation on the slit fins was obtained by Gray relation analysis (multi-objective optimization) with values of H = 1/3, P = 1 mm and theta = 90 degrees, representing the highest j-factor and the lowest f -factor of the parameter configuration, in contrast to the remaining parameter combinations, the SNR values for its j and f-factor stand at-49.14 and 35.1, respectively while the JF-factor also outperformed those of the other 16 groups of cases. Finally, the results obtained by Taguchi method and GRA are analyzed in conjunction with flow behavior.