Skip to main content
SpringerLink
Log in

Rivulet Structures in Falling Liquid Films

  • Chapter
  • First Online:
Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics

Part of the book series: Understanding Complex Systems ((UCS))

Abstract

Here is the story of how my Ph.D. thesis and hence my subsequent scientific career has been influenced by Manuel G. Velarde and the unique spirit he has created at the Instituto Pluridisciplinar in Madrid. I came 11 years ago to Madrid with the aim to model rivulet structures observed in experiments of heated falling liquid film, and I am still today working on rivulets, but arising due to negative gravity instead of thermocapillary effects.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

References

  1. Skotheim, J.M., Thiele, U., Scheid, B.: On the instability of a falling film due to localized heating. J. Fluid Mech. 475, 1–19 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Kalliadasis, S., Ruyer-Quil, C., Scheid, B., Velarde, M.G.: Falling Liquid Films. Applied Mathematical Sciences, vol. 176, p. 440. Springer, London (2012)

    Google Scholar 

  3. Ruyer-Quil, C., Scheid, B., Kalliadasis, S., Velarde, M.G., Zeytounian, R.Kh.: Thermocapillary long waves in a liquid film flow. Part 1. Low dimensional formulation. J. Fluid Mech. 538, 199–222 (2005)

    Google Scholar 

  4. Scheid, B., Ruyer-Quil, C., Kalliadasis, S., Velarde, M.G., Zeytounian, R.Kh.: Thermocapillary long waves in a liquid film flow. Part 2. Linear stability and nonlinear waves. J. Fluid Mech. 538, 223–244 (2005)

    Google Scholar 

  5. Scheid, B., Ruyer-Quil, C., Manneville, P.: Wave patterns in film flows: modelling and three-dimensional waves. J. Fluid Mech. 562, 183–222 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Scheid, B., Ruyer-Quil, C., Thiele, U., Kabov, O.A., Legros, J.C., Colinet, P.: Validity domain of the Benney equation including the Marangoni effect for closed and open flows. J. Fluid Mech. 527, 303–335 (2005)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. Scheid, B., Kalliadasis, S., Ruyer-Quil, C., Colinet, P.: Spontaneous channeling of solitary pulses in heated film flows. Europhys. Lett. 84, 64002 (2008)

    Article  ADS  Google Scholar 

  8. Scheid, B., Kalliadasis, S., Ruyer-Quil, C., Colinet, P.: Interaction of three-dimensional hydrodynamic and thermocapillary instabilities in film flows. Phys. Rev. E 78, 066311 (2008)

    Article  ADS  Google Scholar 

  9. Lin, T.-S., Kondic, L., Filippov, A.: Thin films flowing down inverted substrates: three-dimensional flow. Phys. Fluids 24, 022105 (2012)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. TIPs, Université Libre de Bruxelles, C.P. 165/67, 1050, Brussels, Belgium

    B. Scheid

Authors
  1. B. Scheid
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. Scheid .

Editor information

Editors and Affiliations

  1. , Dpt. Quimica-Fisica-I, UCM, Madrid, 28040, Spain

    Ramon G. Rubio

  2. Instituto Pluridisciplinar, UCM, Paseo Juan XXIII 1, Madrid, 28040, Spain

    Yuri S. Ryazantsev

  3. , Dpt. of Chemical Engineering, Loughborough University, Loughborough, LE11 3TU, United Kingdom

    Victor M Starov

  4. , Physics Dpt., East China Normal University, Zhongshan Northern Road 3663, Shanghai, 200062, China, People's Republic

    Guo-Xiang Huang

  5. , Faculty of Physics, Saratov State University, Astrakhanskaya Str. 83, Saratov, 410012, Russia

    Alexander P Chetverikov

  6. , Dpt. di Ingegneria Elettrica Elettronica, Università di Catania, V. le A. Doria 6, Catania, 95125, Italy

    Paolo Arena

  7. , Dept. of Mathematics, Technion, Haifa, 32000, Israel

    Alex A. Nepomnyashchy

  8. , Instituto Cajal, CSIC, Av. Dr. Arce 37, Madrid, 28002, Spain

    Alberto Ferrus

  9. Shirshov Institute of Oceanology, Nakhimovsky prospekt 36, Moscow, 117851, Russia

    Eugene G. Morozov

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Scheid, B. (2013). Rivulet Structures in Falling Liquid Films. In: Rubio, R., et al. Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34070-3_35

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34070-3_35

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34069-7

  • Online ISBN: 978-3-642-34070-3

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics

Search

Navigation