Skip to main content
Log in

A parameterized deposition rate model of electrostatic spraying rotating bell atomizer

  • Published:
Journal of Coatings Technology and Research Aims and scope Submit manuscript

Abstract

Compared with spray gun painting, electrostatic spraying rotating bell (ESRB) painting can provide better film-forming quality and higher adhesion rate, which is more suitable for automobile base coating. However, the complexity of the spray pattern of the ESRB and the automobile surface geometric makes the spray process planning a more challenging problem. This paper aims to provide a new parameterized model of the ESRB to facilitate the thickness calculation and trajectory planning in the off-line painting programming. Firstly, according to the distribution characteristics of paint particles and the force analysis of adhesion process, a new static deposition rate model—offset asymmetric Gaussian model is proposed on the plane. The parameters in the new model have intuitive practical significance and can fully reflect the characteristics of ESRB coating deposition rate. Then based on the analysis of the relationship between the static model and uniform linear spraying deposition, the static model is established by measuring the layer data of corresponding uniform linear spraying. In order to further simulate the paint thickness on curved surfaces, the projection model with variable spraying distance and deposition point normal deflection is also deduced. Finally, a parameterized static model and sampling points library are established which provide efficient and accurate prediction of static deposition result, and is more suitable for off-line programming. Three different groups of simulation proved that the proposed static deposition rate model has high calculation accuracy for different working conditions and fast simulation speed for different spraying parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24
Fig. 25
Fig. 26

Similar content being viewed by others

References

  1. Akafuah, NK, “Automotive Paint Spray Characterization and Visualization.” In: Toda, K, Salazar, A, Saito, K (eds.) Automotive Painting Technology. Monozukuri-Hitozukuri Perspective, pp. 121–165. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5095-1_5 (2013)

    Chapter  Google Scholar 

  2. Sidawi, K, Moroz, P, Chandra, S, “On Surface Area Coverage by an Electrostatic Rotating Bell Atomizer.” J. Coat. Technol. Res., 18 649–663. https://doi.org/10.1007/s11998-020-00430-4 (2021)

    Article  CAS  Google Scholar 

  3. Chen, H, Xi, N, “Automated Robot Tool Trajectory Connection for Spray Forming Process.” J. Manuf. Sci. Eng. Trans. ASME, 134 021017. https://doi.org/10.1115/1.4005798 (2012)

    Article  Google Scholar 

  4. Atkar, PN, Greenfield, A, Conner, DC, Choset, H, Rizzi, AA, “Uniform Coverage of Automotive Surface Patches.” Int. J. Robot. Res., 24 883–898. https://doi.org/10.1177/0278364905059058 (2005)

    Article  Google Scholar 

  5. Stevenin, Ch, Béreaux, Y, Charmeau, J-Y, Balcaen, J, “Shaping Air Flow Characteristics of a High-Speed Rotary-Bell Sprayer for Automotive Painting Processes.” J. Fluids Eng.,. https://doi.org/10.1115/1.4030703 (2015)

    Article  Google Scholar 

  6. Pendar, M-R, Páscoa, JC, “Numerical Modeling of Electrostatic Spray Painting Transfer Processes in Rotary Bell Cup for Automotive Painting.” Int. J. Heat Fluid Flow, 80 108499. https://doi.org/10.1016/j.ijheatfluidflow.2019.108499 (2019)

    Article  Google Scholar 

  7. Domnick, J, Scheibe, A, Ye, Q, “The Simulation of Electrostatic Spray Painting Process with High-Speed Rotary Bell Atomizers. Part II: External Charging.” Part. Part. Syst. Charact., 23 408–416. https://doi.org/10.1002/ppsc.200601018 (2007)

    Article  Google Scholar 

  8. Andersson, B, Jakobsson, S, Mark, A, Edelvik, F, Carlson, JS, Golovitchev, V, “A Modified TAB Model for Simulation of Atomization in Rotary Bell Spray Painting.” J. Mech. Eng. Autom., 8 54–61 (2013)

    Google Scholar 

  9. Toljic, N, Adamiak, K, Castle, GSP, Kuo, H-H, Fan, H-T, “3D Numerical Model of the Electrostatic Coating Process with Moving Objects Using a Moving Mesh.” J. Electrost., 70 499–504. https://doi.org/10.1016/j.elstat.2012.08.001 (2012)

    Article  Google Scholar 

  10. Duelen, G, Stahlmann, HD, Liu, X, “An Off-Line Planning- and Simulation System for the Programming of Coating Robots.” CIRP Ann., 38 369–372. https://doi.org/10.1016/S0007-8506(07)62725-5 (1989)

    Article  Google Scholar 

  11. Chen, HP, Xi, N, Sheng, WH, Song, MM, Chen, YF, “CAD-Based Automated Robot Trajectory Planning for Spray Painting of Free-Form Surfaces.” Ind. Robot Int. J., 29 426–433. https://doi.org/10.1108/01439910210440237 (2002)

    Article  Google Scholar 

  12. Freund, E, Rokossa, D, Rossmann, J, “Process-Oriented Approach to an Efficient Off-Line Programming of Industrial Robots.” In: IECON 98 Proceedings of the 24th Annual Conference of the IEEE Industrial Electronics Society Cat No98CH36200, pp. 208–213. Vol. 1. https://doi.org/10.1109/IECON.1998.723992, 1998

  13. Antonio, JK, “Optimal Trajectory Planning for Spray Coating.” In: Proceedings of the 1994 IEEE International Conference on Robotics and Automation, pp. 2570–2577. Vol 3. https://doi.org/10.1109/ROBOT.1994.351125, 1994

  14. Suh, S-H, Woo, I-K, Noh, S-K, “Development of an Automatic Trajectory Planning System (ATPS) for Spray Painting Robots.” In: Proceedings. 1991 IEEE International Conference on Robotics and Automation, pp. 1948–1955. Vol 3. https://doi.org/10.1109/ROBOT.1991.131912, 1991

  15. Balkan, T, Arikan, MAS, “Surface and Process Modeling and Off-Line Programming for Robotic Spray Painting of Curved Surfaces.” In: American Society of Mechanical Engineers Digital Collection, pp. 455–465. https://doi.org/10.1115/DETC99/DAC-8662, 2021

  16. Balkan, T, Sahir Arikan, MA, “Modeling of Paint Flow Rate Flux for Circular Paint Sprays by Using Experimental Paint Thickness Distribution.” Mech. Res. Commun., 26 609–617. https://doi.org/10.1016/S0093-6413(99)00069-5 (1999)

    Article  Google Scholar 

  17. Sahir Arikan, MA, Balkan, T, “Modeling of Paint Flow Rate Flux for Elliptical Paint Sprays by Using Experimental Paint Thickness Distributions.” Ind. Robot Int. J., 33 60–66. https://doi.org/10.1108/01439910610638243 (2006)

    Article  Google Scholar 

  18. Colbert, SA, Numerical Simulations of Droplet Trajectories from an Electrostatic Rotary-Bell Atomizer. Citeseer, Princeton (2007)

    Google Scholar 

  19. Conner, DC, Greenfield, A, Atkar, PN, Rizzi, AA, Choset, H, “Paint Deposition Modeling for Trajectory Planning on Automotive Surfaces.” IEEE Trans. Autom. Sci. Eng., 2 381–392. https://doi.org/10.1109/tase.2005.851631 (2005)

    Article  Google Scholar 

  20. Zhao, S, Adamiak, K, Castle, GSP, “The Implementation of Poisson Field Analysis Within FLUENT to Model Electrostatic Liquid Spraying.” In: 2007 Canadian Conference on Electrical and Computer Engineering, pp. 1456–1459. https://doi.org/10.1109/CCECE.2007.395, 2007

  21. Li, J, Xiao, J, Huang, Y, Lou, HH, “Integrated Process and Product Analysis: A Multiscale Approach to Paint Spray.” AIChE J., 53 2841–2857. https://doi.org/10.1002/aic.11311 (2007)

    Article  CAS  Google Scholar 

  22. Yu, S, Cao, L, “Modeling and Prediction of Paint Film Deposition Rate for Robotic Spray Painting.” In: 2011 IEEE International Conference on Mechatronics and Automation, pp. 1445–1450. https://doi.org/10.1109/ICMA.2011.5985963, 2011

  23. Zeng, Y, Zhang, Y, He, J, Zhou, H, Zhang, C, Zheng, L, “Prediction Model of Coating Growth Rate for Varied Dip-Angle Spraying Based on Gaussian Sum Model.” Math. Probl. Eng., 2016 9369047. https://doi.org/10.1155/2016/9369047 (2016)

    Article  Google Scholar 

  24. Domnick, J, Scheibe, A, Ye, Q, “The Electrostatic Spray Painting Process with High-Speed Rotary Bell Atomizers: Influences of Operating Conditions and Target Geometries.” In: Conference Liquid Atomization and Spray Systems, Sorrento, Italy, 2003

  25. Im, K-S, Lai, M-C, Yu, S-TJ, Matheson, RR, “Simulation of Spray Transfer Processes in Electrostatic Rotary Bell Sprayer.” J. Fluids Eng., 126 449–456. https://doi.org/10.1115/1.1758263 (2004)

    Article  Google Scholar 

  26. Colbert, SA, Cairncross, RA, “A Computer Simulation for Predicting Electrostatic Spray Coating Patterns.” Powder Technol., 151 77–86. https://doi.org/10.1016/j.powtec.2004.11.039 (2005)

    Article  CAS  Google Scholar 

  27. Guettler, N, Knee, P, Ye, Q, Tiedje, O, “Initial Droplet Conditions in Numerical Spray Painting by Electrostatic Rotary Bell Sprayers.” J. Coat. Technol. Res., 17 1091–1104. https://doi.org/10.1007/s11998-020-00352-1 (2020)

    Article  CAS  Google Scholar 

  28. Darwish Ahmad, A, Abubaker, AM, Salaimeh, AA, Akafuah, NK, “Schlieren Visualization of Shaping Air During Operation of an Electrostatic Rotary Bell Sprayer: Impact of Shaping Air on Droplet Atomization and Transport.” Coatings, 8 279. https://doi.org/10.3390/coatings8080279 (2018)

    Article  CAS  Google Scholar 

  29. Toljic, N, Castle, GSP, Adamiak, K, Kuo, HH, Fan, HT, “A 3D Numerical Model of the Electrostatic Coating Process for Moving Targets.” J. Phys. Conf. Ser., 301 012059. https://doi.org/10.1088/1742-6596/301/1/012059 (2011)

    Article  CAS  Google Scholar 

  30. Domnick, J, Scheibe, A, Ye, QY, “The Simulation of the Electrostatic Spray Painting Process with High-Speed Rotary Bell Atomizers. Part I: Direct Charging.” Part. Part. Syst. Charact., 22 141–150. https://doi.org/10.1002/ppsc.200400968 (2005)

    Article  Google Scholar 

  31. Guettler, N, Paustian, S, Ye, Q, Tiedje, O, “Numerical and Experimental Investigations on Rotary Bell Atomizers with Predominant Air Flow Rates.” In: ILASS2017—28th European Conference on Liquid Atomization and Spray Systems, 2017. http://ocs.editorial.upv.es/index.php/ILASS/ILASS2017/paper/view/4650. Accessed 18 August 2020

Download references

Funding

The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by (1) Tianjin Science and Technology Committee (grant no. 15ZXZNGX00200); (2) Tianjin Human Resources and Social Security Bureau (Grant No. XB202014).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Chen Zhao or Xuhao Wang.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, P., Gao, W., Zhao, C. et al. A parameterized deposition rate model of electrostatic spraying rotating bell atomizer. J Coat Technol Res 20, 1019–1037 (2023). https://doi.org/10.1007/s11998-022-00721-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11998-022-00721-y

Keywords

Navigation