Skip to main content
SpringerLink
Log in

Instabilities of Miscible Interfaces

  • Conference paper
  • First Online:
Seventh IUTAM Symposium on Laminar-Turbulent Transition

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 18))

  • 1201 Accesses

Abstract

An overview is presented over instabilities in fluid flows with miscible interfaces. Specifically, the discussion focuses on recent results for a) interfacial instabilities in miscible core-annular flows, b) gravitational and viscously driven instabilities in Hele-Shaw cells, and c) interfacial instabilities in both homogeneous and heterogeneous porous media displacements.

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 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
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. Balasubramaniam, R., Rashidnia, N., Maxworthy, T., Kuang, J.: Instability of miscible interfaces in a cylindrical tube. Phys. Fluids 17, 052,103 (2005)

    Google Scholar 

  2. Camhi, E., Ruith, M., Meiburg, E.: Miscible rectilinear displacements with gravity override. Part 2. Heterogeneous porous media. J. Fluid. Mech. 420, 259 (2000)

    Article  MATH  ADS  Google Scholar 

  3. Chen, C.Y., Meiburg, E.: Miscible displacement in capillary tubes. Part 2. Numerical simulations. J. Fluid Mech. 326, 57 (1996)

    Article  MATH  ADS  Google Scholar 

  4. Chen, C.Y., Meiburg, E.: Miscible porous media displacements in the quarter five-spot configuration. Part 1. The homogeneous case. J. Fluid. Mech. 371, 233 (1998)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  5. Chen, C.Y., Meiburg, E.: Miscible porous media displacements in the quarter five-spot configuration. Part 2. Effects of heterogeneities. J. Fluid. Mech. 371, 269 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  6. Chen, C.Y., Meiburg, E.: Miscible displacements in capillary tubes: Influence of Korteweg stresses and divergence effects. Phys. Fluids 14, 2052 (2002)

    Article  ADS  Google Scholar 

  7. Chouke, R., Meurs, P., Poel, C.d.: The instability of slow, immiscible, viscous liquid-liquid displacements in permeable media. Trans. AIME 216, 188 (1959)

    Google Scholar 

  8. Cox, B.G.: On driving a viscous fluid out of a tube. J. Fluid. Mech. 14, 81 (1962)

    Article  MATH  ADS  Google Scholar 

  9. DOlce, M., Martin, J., Rakotomalala, N., Salin, D., Talon, L.: Convective/absolute instability in miscible core-annular flow. Part 1. Experiments. J. Fluid Mech. 618, 305 (2009)

    Article  ADS  Google Scholar 

  10. Fernandez, J., Kurowski, P., Petitjeans, P., Meiburg, E.: Density-driven, unstable flows of miscible fluids in a Hele-Shaw cell. J. Fluid Mech. 451, 239 (2002)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  11. Goyal, N., Meiburg, E.: Unstable density stratification of miscible fluids in a vertical Hele-Shaw cell: influence of variable viscosity on the linear stability. J. Fluid Mech. 516, 211–238 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  12. Goyal, N., Meiburg, E.: Miscible displacements in Hele-Shaw cells: Two-dimensional base states and their linear stability. J. Fluid Mech. 558, 329 (2006)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  13. Goyal, N., Pichler, H., Meiburg, E.: Variable density, miscible displacements in a vertical Hele-Shaw cell: linear stability. J. Fluid Mech. 584, 357 (2007)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  14. Graf, F., Meiburg, E., Haertel, C.: Density-driven instabilities of miscible fluids in a Hele-Shaw cell: linear stability analysis of the three-dimensional Stokes equations. J. Fluid Mech. 451, 261 (2002)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. Hickox, C.E.: Instability due to viscosity and density stratification in axisymmetric pipe flow. Phys. Fluids 14, 251 (1971)

    Article  MATH  ADS  Google Scholar 

  16. Hill, S.: Channeling in packed columns. Chem. Eng. Sci. 1, 247 (1952)

    Article  Google Scholar 

  17. Homsy, G.M.: Viscous fingering in porous media. Ann. Rev. Fluid Mech. 19, 271–311 (1987)

    Article  ADS  Google Scholar 

  18. Joseph, D.D., Bai, R., Chen, K.P., Renardy, Y.Y.: Core-annular flows. Ann. Rev. Fluid Mech. 29, 65 (1997)

    Article  MathSciNet  ADS  Google Scholar 

  19. Joseph, D.D., Renardy, Y.Y.: Fundamentals of Two-Fluid Dynamics. Part II: Lubricated Transport, Drops and Miscible Liquids. Springer-Verlag, New-York (1992)

    Google Scholar 

  20. Kuang, J., Maxworthy, T., Petitjeans, P.: Miscible displacements between silicone oils in capillary tubes. Europ. J. Mech. 22, 271 (2003)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of California, Santa Barbara, CA, 93106, USA

    Eckart Meiburg

Authors
  1. Eckart Meiburg
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Eckart Meiburg .

Editor information

Editors and Affiliations

  1. Dept. Mechanics, KTH, Stockholm, 100 44, Sweden

    Philipp Schlatter

  2. Dept. Mechanics, KTH, Stockholm, 100 44, Sweden

    Dan S. Henningson

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer Science+Business Media B.V.

About this paper

Cite this paper

Meiburg, E. (2010). Instabilities of Miscible Interfaces. In: Schlatter, P., Henningson, D. (eds) Seventh IUTAM Symposium on Laminar-Turbulent Transition. IUTAM Bookseries, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3723-7_4

Download citation

  • DOI: https://doi.org/10.1007/978-90-481-3723-7_4

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-3722-0

  • Online ISBN: 978-90-481-3723-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation