2.2. Analysis of Test Results
UAJED was used to prepare the Ni-W-Al
2O
3 composite coatings, and the jet rate, Al
2O
3 content, and ultrasonic power plating parameters were varied to prepare different coatings. The experimental results of the Ni-W-Al
2O
3 composite coatings are illustrated in
Table 1. The obtained data were fitted using the least squares method. The coating with the maximum microhardness was developed using the eleventh process parameters, which were adjusted to a G1 combination.
Figure 2 shows the predicted and actual microhardness of the Ni-W-Al
2O
3 composite coatings following the least squares fitting method. The actual microhardness is depicted by black dots, the possible area of the predicted value by the red area, and the predicted microhardness by the red solid line with a slope of one. Most of the black dots fall into the red area, indicating that the prediction model is relatively reliable. The blue solid line represents the average value of the microhardness. Furthermore, the
RSq of the fitted model is 0.98, the
P is 0.0008, and the
RMSE is 3.6382, further suggesting that the prediction model can predict the microhardness of composite coatings.
The mathematical model analysis of variance is displayed in
Table 2. The linear term, the secondary interaction term, and the secondary power term all showed significant effects on the microhardness. The sum of corrections
p < 0.05 indicates that the model can predict the microhardness of composite coatings.
2.3. Response Surface and Contour Analysis
The relationship between the jet rate, the Al
2O
3 content, and the microhardness is illustrated in
Figure 3. As the jet rate and Al
2O
3 content increased, the microhardness value first increased and subsequently decreased. The microhardness of the Ni-W-Al
2O
3 composite coatings reached its highest when the jet rate and Al
2O
3 content were 3.6 m/s and 16.7 g/L, respectively. These findings demonstrate that the amount of composite in the coating enhanced as the Al
2O
3 content increased. This can improve the microhardness of the composite coating and strengthen the effect of fine crystal reinforcement. However, when the Al
2O
3 nanoparticle content was excessively high, the nanoparticles aggregated in the plating solution, reducing the microhardness of the coating, the deposition efficiency, and the composite amount of nanoparticles. Similarly, the efficiency of liquid-phase mass transfer increased with an increase in the jet rate. This could improve the composite amount of nanoparticles, improve the microhardness of the coating, and enable the co-deposition efficiency of nanoparticles and metal cations. Furthermore, the nanoparticles that had not been tightly bonded on the surface were washed into a plating solution as the jet rate increased further, lowering the microhardness of the coating and the composite amount of nanoparticles.
As shown in
Figure 4, the contour lines were elliptical, indicating an interaction between the Al
2O
3 content and jet rate. The contour lines were denser along the Al
2O
3 content direction, suggesting that the Al
2O
3 content dominated the interaction.
Figure 5 illustrates the relationship between the microhardness, ultrasonic power, and jet rate. The microhardness of the composite coatings reached the maximum when the jet rate and the ultrasonic power were 3.6 m/s, and 210 W, respectively. The results demonstrate that, as the ultrasonic power increased, the ultrasonic shocking effect on the plating solution improved, resulting in a more uniform distribution of nanoparticles, a faster rate of co-deposition, more nanoparticles in the coating, an enhanced effect of fine crystal reinforcement, and a considerable improvement in the microhardness of the composite coatings. As the ultrasonic power increased further, the vibration caused by the ultrasonic wave became too strong, causing the loosely bound nanoparticles to fall off the surface. This decreased the composite amount of nanoparticles and the microhardness of the Ni-W-Al
2O
3 composite coatings.
Moreover, the contour lines were elliptical was illustrated in
Figure 6, indicating an interaction between the ultrasonic power and jet rate. Furthermore, the contour lines were denser in the jet rate direction, suggesting that the jet rate showed a significant impact on the relationship between the jet rate and ultrasonic power.
Figure 7 shows the correlation between the microhardness, ultrasonic power, and Al
2O
3 content. The microhardness of the Ni-W-Al
2O
3 composite coatings reached the maximum value when the ultrasonic power was 210 W and the content of Al
2O
3 nanoparticles was 16.7 g/L. From
Figure 8, the contour lines were elliptical, indicating a strong interaction between the Al
2O
3 content and ultrasonic power. Moreover, the contours were denser in the direction of Al
2O
3 content changes, suggesting that the interaction was affected by the content of Al
2O
3 nanoparticles.
The prediction of the maximum microhardness and technological parameters of the Ni-W-Al
2O
3 composite coatings is illustrated in
Figure 9. The maximum microhardness was 740.2193 HV predicted by the JMP data analysis software, and the process parameters for the maximum microhardness were a jet rate of 3.71 m/s, an Al
2O
3 content of 15.38 g/L, and an ultrasonic power of 206.31 W. The process parameters for the maximum microhardness were set as a G2 combination. It was necessary to adjust the ultrasonic power due to the limitations of the ultrasonic generator, and the corrected power was 210 W. Tests of three groups were carried out to confirm the accuracy of the prediction, and
Table 3 shows the microhardness values. The average microhardness value was 725.17 HV, and the value of relative error between the average value and predicted value was 2.1%, suggesting that the model showed the right prediction for the microhardness of the Ni-W-Al
2O
3 composite coatings.