Advances in Mechanical Engineering (Mar 2024)

Numerical simulation and experimental study of dip angle spray film thickness under elliptical double Gaussian sum model

  • Chengdong Li,
  • Weihao Sun,
  • Jianying Jin,
  • Shuang Liu,
  • Xu Tian

DOI
https://doi.org/10.1177/16878132241234185
Journal volume & issue
Vol. 16

Abstract

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To address the problem of modeling the growth rate of coating film thickness when spraying at inclination angle, based on Gaussian sum model, it is proposed to use the elliptic double Gaussian sum model to establish the cumulative model of coating film thickness when spraying at static inclination angle of the spray gun. The differential geometry amplification theorem is used to establish the coating growth rate model with the spraying inclination angle as the variable; after that, the static inclination spraying experiments are carried out, and the coating thickness data of the sampling points are recorded through the spraying experiments, and the Levenberg-Maquart algorithm is used for the least-squares fitting of the model, which results in the static spraying film thickness distribution model. Finally, compared with the elliptic double β model, the fitting accuracy of the elliptic double Gaussian sum model is 6.3% higher than that of the elliptic double β model when spraying at inclination angle by comparing the R-square values, and the elliptic double Gaussian sum model is more capable of obtaining a better fitting accuracy, which further confirms the validity and practicability of the model.