Skip to main content

Steady Dendritic Growth with Natural Convection (II): The Case of PR ≫ 1 and Ḡ = O(1)

  • Chapter
Dynamical Theory of Dendritic Growth in Convective Flow

Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 7))

  • 216 Accesses

Abstract

In this chapter, we study the case of Pr ≫ 1, but \(\overline G\) = O(1). For this case, we shall use ε2 = 1/Pr ≪ 1 as the basic small parameter, and look for the asymptotic expansion solution in the limit ε2 → 0.

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 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Xu, JJ. (2003). Steady Dendritic Growth with Natural Convection (II): The Case of PR ≫ 1 and Ḡ = O(1). In: Dynamical Theory of Dendritic Growth in Convective Flow. Advances in Mechanics and Mathematics, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3709-7_8

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-3709-7_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-3711-0

  • Online ISBN: 978-1-4757-3709-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics