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Modeling of heat flow and solidification during atomization and spray deposition processing

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Abstract

A mathematical model of the spray deposition process, based on heat flow analysis during solidification of droplets, as well as that of the spray deposit, is presented. The heat flow during cooling of droplets is analyzed in five distinct stages. A one-dimensional heat transfer model, using a finite difference method, is used to calculate the temperature of the deposit. The results indicate that the cooling rate of a wide size range of droplets of Al-4.5 Cu alloy in the spray varies from 103–105°C s−1 in contrast to a slow cooling rate of 1–10°C s−1 of the spray deposit. The spray enthalpy on the deposition surface increases linearly with the melt superheat. In contrast, the atomization gas pressure does not have a significant influence on the enthalpy of the spray in this process. The cooling rate of the deposits predicted from the model compares well with those obtained by the measurements.

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References

  1. E.J. Lavernia, E. Gutierrez-Miravete, J. Szekely, and N.J. Grant: “A Mathematical Model of the Liquid Dynamic Compaction Process. Part 1: Heat Flow in Gas Atomization,” Int. J. Rapid Solidification, 1988, 4(1/2), pp. 89–124.

    CAS  Google Scholar 

  2. P. Mathur, S. Annavarapu, D. Apelian, and A. Lawley: “Spray Casting: An Integral Model for Process Understanding and Control,” Mater. Sci. Eng., 1991, A142, pp. 261–76.

    CAS  Google Scholar 

  3. P.S. Grant, B. Cantor, and L. Katgerman: “Modeling of Droplet Dynamics and Thermal Histories During Spray Forming: 1. Individual Droplet Behavior,” Acta Metall. Mater., 1993, 41, pp. 3097–3108.

    Article  CAS  Google Scholar 

  4. E. Lee and S. Ahn: “Solidification Progress and Heat Transfer Analysis of Gas Atomized Alloy Droplets During Spray Forming,” Acta. Metall. Mater., 1994, 42, pp. 3231–43.

    Article  CAS  Google Scholar 

  5. B.P. Bewlay and B. Cantor: “The Relationship Between Thermal History and Microstructure in Spray Deposited Tin-Lead Alloys,” J. Mater. Res., 1991, 6(7), pp. 1433–54.

    Article  CAS  Google Scholar 

  6. A.J. Drehman and D. Turnbull: “Solidification Behavior of Undercooled Pd83Si17 and Pd82Si18 Liquid Droplets,” Scripta Metall., 1981, 15, pp. 543–48.

    Article  CAS  Google Scholar 

  7. E.J. Lavernia and Y. Wu: Spray Atomization and Deposition, 1st ed., John Wiley and Sons, UK, 1996, p. 106.

    Google Scholar 

  8. H. Kurten: Bubbles, Drops and Particles, Academic Press, NY, 1978, pp. 42–87.

    Google Scholar 

  9. J. Szekely and N. Themelis: Rate Phenomena in Process Metallurgy, John Wiley & Sons, New York, NY, 1971, pp. 170–207.

    Google Scholar 

  10. C.G. Levi and R. Mehrabian: “Heat Flow in Atomized Metal Droplets,” Met. Trans. B, 1980, 11B, pp. 21–27.

    Article  CAS  Google Scholar 

  11. C.G. Levi and R. Mehrabian: “Heat Flow During Rapid Solidification of Undercooled Metal Droplets,” Metall. Trans., 1982, 13A, pp. 221–34.

    CAS  Google Scholar 

  12. P. Shukla, R.K. Mandal, and S.N. Ojha: “Non-Equilibrium Solidification of Undercooled Droplets During Atomization Process,” Bull. Mater. Sci., 2001, 24(5), pp. 547–54.

    Article  CAS  Google Scholar 

  13. D.M. Herlach: “Non-Equilibrium Solidification of Undercooled Metallic Droplets,” Mater. Sci. Eng., 1994, R12, pp. 177–272.

    CAS  Google Scholar 

  14. W. Kurz and D.J. Fisher: Fundamentals of Solidification, Trans Tech Publication, Aedermannsdorf, Switzerland, 1989, p. 241.

    Google Scholar 

  15. J.P. Holman: Heat Transfer, McGraw Hill Book Company, NY, 1989, p. 27–178.

    Google Scholar 

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Shukla, P., Ojha, S.N. & Mishra, N.S. Modeling of heat flow and solidification during atomization and spray deposition processing. J Therm Spray Tech 12, 95–100 (2003). https://doi.org/10.1361/105996303770348546

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  • DOI: https://doi.org/10.1361/105996303770348546

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