Prediction of Nano-Droplet Spreading on the Surface using the Multivariate Non-Linear Regression

Document Type : Research Article

Authors

1 Department of Mathematics and Statistics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.

2 Department of Mechanical Engineering, Payame Noor University, PO BOX 19395-3697, IRAN

/amnc.2018.7.26.7

Abstract

Creating of resistant and anti-corrosion coatings in nano dimensions are widely used in various industries. The quality of the coating is related to the collision of the nano droplet on the surface and then spreading on it. In many cases, the oblique surface is in the front of the spray nozzle, and then the nano droplet collides obliquely with a surface. Due to expensive and time consuming of the experiments and simulations, model determination for illustrating the effects of the factors on the nano-droplet spreading is very important. In this research, the multivariate regression model is being proposed for predicting the nano-droplet spreading data. The nano-droplet spreading has been depended to the speed and impact angle on the surface and that for this reason five models have been considered. The results for comparing the provided models show that the proposed non-linear regression has the most efficient and lowest error and has a high fit with optimal output. Also, the residual analysis of the proposed model accepts the normality assumption. Moreover, the correlation between the speed and nano-droplet spreading is 0.95 which is at a very high level.

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References

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