Skip to main content

Part of the book series: Mathematics in Industry ((MATHINDUSTRY,volume 3))

  • 353 Accesses

Abstract

In this chapter we consider several issues related to curtain coating: (i) The stabilization of the curtain through the reduction of the surface tension of the liquid/air interface; (ii) The measurement of the dynamic surface tension of that interface; and (iii) The response of the curtain to pressure fluctuations.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. W. Alt, L. A. Caffarelli, and A. Friedman, Jet flows with gravity, J. Reine Angew. Math., 331 (1982), 58–103.

    MathSciNet  MATH  Google Scholar 

  2. J. M. Baumlin, D. Ross, S. Weinstein, and T. Whitesides, unpublished work.

    Google Scholar 

  3. D. A. Edwards, H. Brenner, and D. T. Wasan, Interfacial Transport Processes and Rheology, Butterworth-Heinemann, Boston (1991).

    Google Scholar 

  4. D. S. Finnicum, S. J. Weinstein, and K. J. Ruschak, The effect of applied pressure on the shape of a two-dimensional liquid curtain falling under the influence of gravity, J. Fluid Mech., 255 (1993), 647–665.

    Article  Google Scholar 

  5. A. Friedman, Variational Principles and Free-Boundary Problems, Wiley-Interscience, John Wiley & Sons, New York (1982).

    Google Scholar 

  6. A. Friedman, Mathematics in Industrial Problems, Part 9, IMA Volumes in Mathematics and its Applications, #88, Springer-Verlag, New York (1997).

    Book  MATH  Google Scholar 

  7. I. Langmuir, The Constitution and Fundamental Properties of Solids and Liquids, J. Amer. Chem. Soc, 38 (1916), 2221–2295.

    Article  Google Scholar 

  8. S. R. Lin and G. Roberts, Waves in a viscous liquid curtain, J. Fluid Mech., 112 (1981), 443–458.

    Article  Google Scholar 

  9. A. Pitt, D. S. Ross, and T. Whitesides, A mathematical model of dynamic surface tension, unpublished work.

    Google Scholar 

  10. S. J. Weinstein, A. Clarke, A. G. Moon, and E. A. Simister, Time-dependent equations governing the shape of a two-dimensional liquid curtain, Part 1: Theory, Fluid Physics, 9 (1997), 3626–3636.

    Google Scholar 

  11. S. J. Weinstein, J. H. Hoff, D. S. Ross, Time-dependent equations governing the shape of a three-dimensional liquid curtain, Physics of Fluid, 10 (1998), 1815–1818.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Friedman, A., Ross, D.S. (2003). Curtain Coating. In: Mathematical Models in Photographic Science. Mathematics in Industry, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55755-2_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-55755-2_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62913-6

  • Online ISBN: 978-3-642-55755-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics