Skip to main content

Some Aspects of the Weakly Nonlinear Theory of the Morphological Instability

  • Chapter
Structure and Dynamics of Partially Solidified Systems

Part of the book series: NATO ASI Series ((NSSE,volume 125))

  • 166 Accesses

Abstract

We make some observations regarding the derivation of the amplitude equations that govern the dynamics of the morphological stability of a planar solid-liquid interface of a binary alloy system.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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. Newell, A C and Whitehead, J A 1969 J Fluid Mech 38, 279–303.

    Article  Google Scholar 

  2. Segel, L A and Stuart, J T 1962 J Fluid Mech 13, 289–306.

    Article  Google Scholar 

  3. Wheeler, A A 1985 IMAJAM 35, 131–144.

    Google Scholar 

  4. Rutters, J W and Chalmers, B 1953 J Can Phys 31 15–39.

    Article  Google Scholar 

  5. Mullins, W W and Sekerka, R F 1964 J App Phys 35, 444–451.

    Article  Google Scholar 

  6. Wollkind, D J and Segel, L A 1970 Phil Trans Roy Soc 268, 351.

    Article  CAS  Google Scholar 

  7. Sriranganathan, R, Wollkind, D J and Oulton, D B 1983 J Crys Growth 62, 265–283.

    Article  Google Scholar 

  8. Joseph, D D 1976 Stability of Fluid Motions Vol 1, Springer Verlag, New York.

    Google Scholar 

  9. Ungar, L H and Brown, R A 1984 Phys Rev B 29, 1367.

    Article  CAS  Google Scholar 

  10. Wollkind, D J, Oulton, D B and Sriranganathan, R 1984 J Physique 45, 505–516.

    Article  CAS  Google Scholar 

  11. Hocking, L, Stewartson, K and Stuart, J T 1972 J Fluid Mech 51, 705–735.

    Article  Google Scholar 

  12. Hunt, J Private communication.

    Google Scholar 

  13. Davis, S H, Muller, U and Dietsche, C J 1984 J Fluid Mech 144, 133–151.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Martinus Nijhoff Publishers, Dordrecht

About this chapter

Cite this chapter

Wheeler, A.A. (1987). Some Aspects of the Weakly Nonlinear Theory of the Morphological Instability. In: Loper, D.E. (eds) Structure and Dynamics of Partially Solidified Systems. NATO ASI Series, vol 125. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3587-7_8

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-3587-7_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8104-7

  • Online ISBN: 978-94-009-3587-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics