RESEARCH PAPERS: Featured Section—Heat Transfer in Manufacturing

Local and Global Simulations of Bridgman and Liquid-Encapsulated Czochralski Crystal Growth

[+] Author and Article Information
H. Zhang, V. Prasad

Department of Mechanical Engineering, State University of New York at Stony Brook, Stony Brook, NY 11794-2300

L. L. Zheng, D. J. Larson

Department of Materials Science and Engineering, State University of New York at Stony Brook, Stony Brook, NY 11794-2275

J. Heat Transfer 120(4), 865-873 (Nov 01, 1998) (9 pages) doi:10.1115/1.2825905 History: Received May 01, 1997; Revised March 09, 1998; Online December 05, 2007


A curvilinear finite volume-based numerical methodology has been developed that can be effectively used for simulation of the Bridgman and Czochralski (Cz) crystal growth processes. New features of grid generation have been devised and added to the original formulation (Zhang et al., 1995, 1996) to make it suitable for global modeling. The numerical model can account for convection in both the melt and the gas phases, convection/radiation in the furnace, and conduction in all solid components. Results for Bridgman growth show that the flow pattern and interface shape strongly depend on thermal conductivities of the crystal, melt, and ampoule materials. Transient simulations have been performed for the growth of Bismuth crystal in a Bridgman-Stockbarger system and the growth of GaAs crystal using liquid-encapsulated Czochralski (LEC) technique. This is the first time that a global high-pressure LEC model is able to account for convective flows and heat transfer and predict the interface shape and its dynamics.

Copyright © 1998 by The American Society of Mechanical Engineers
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