Fluid Dynamics: Modeling and Analysis

Koichi Kakimoto, Bing Gao

Research output: Chapter in Book/Report/Conference proceedingChapter

7 Citations (Scopus)


This chapter summarizes the numerical modeling and analysis of mass transport processes, especially the fluid dynamics of crystal growth systems. It begins with a general description of diffusion in fluids, followed by a discussion of forced and natural convection. The second part relates these phenomena to external forces and flow instability. The chapter closes with a discussion of impurity transfer, including transfer in gaseous phase and at liquid-gas interfaces. Through impurity transfer, we can better understand the effect of the melt surface on convection in crystal growth systems such as Czochralski and directional silicon solidification.

Original languageEnglish
Title of host publicationHandbook of Crystal Growth
Subtitle of host publicationBulk Crystal Growth: Second Edition
PublisherElsevier Inc.
Number of pages26
ISBN (Electronic)9780444633064
ISBN (Print)9780444633033
Publication statusPublished - Jan 1 2015

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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