Skip to main content
Log in

A simple fluid mechanical model for planar flow casting melt-spinning

  • Published:
Metallurgical Transactions B Aims and scope Submit manuscript

Abstract

A math model for melt-spinning based on a two-dimensional steady-state condition has been developed. Because of the complexity of the processes involved, the solution of the full governing nonlinear partial differential equations and boundary conditions is not sought. Instead, the problem is analyzed using a control volume approach. In this approach, overall conservation laws for mass, momentum, and energy are satisfied for each of the zones into which the flow field can be conveniently subdivided. The zones are the reservoir, the nozzle, the liquid pool, and the solidified thin metal sheet. The conservation laws can be solved to yield the thickness of the sheet with the reservoir pressure, the ambient pressure, the nozzle/drum gap, the drum speed, and the geometry as input parameters. Because the model contains all the essential parameters, it can be used to optimize operation of the process or its dependence on any of the geometric or physical 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.

Similar content being viewed by others

References

  1. S.J. Savage and F. H. Froes:J. of Metals, April 1984, vol. 27, pp. 34–45.

    Google Scholar 

  2. J. H. Ferziger and S. J. Kline: paper presented at Thermosciences Affiliates Meeting, Stanford University, Stanford, CA, Jan. 30–31, 1984.

  3. H. Schlichting:Boundary-Layer Theory, 7th ed., McGraw-Hill Company, New York, NY, 1979, p. 186.

    MATH  Google Scholar 

  4. L. Prandtl:Essentials of Fluid Dynamics, 3rd ed., Blackie & Son Limited, Glasgow, Scotland, G.B., 1952, p. 78.

    MATH  Google Scholar 

  5. Aluminum: Properties and Physical Metallurgy, John E. Hatch, ed., ASM, Metals Park, OH, May 1984.

    Google Scholar 

  6. T. Y. Wu: Lecture notes on “Water Waves,” California Institute of Technology, Pasadena, CA, 1962.

    Google Scholar 

  7. E. B. Dussan, V:Annual Review of Fluid Mechanics, 1979, vol. 11, pp. 371–400.

    Article  ADS  Google Scholar 

  8. M. Van Dyke: Lecture notes, “Similitude in Engineering Mechanics,” Stanford University, Stanford, CA, 1978.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berger, S.A., Ai, D.K. A simple fluid mechanical model for planar flow casting melt-spinning. Metall Trans B 19, 571–579 (1988). https://doi.org/10.1007/BF02659148

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02659148

Keywords

Navigation