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Energy stability of thermocapillary convection in a model of the float-zone crystal-growth processEnergy stability theory has been applied to a basic state of thermocapillary convection occurring in a cylindrical half-zone of finite length to determine conditions under which the flow will be stable. Because of the finite length of the zone, the basic state must be determined numerically. Instead of obtaining stability criteria by solving the related Euler-Lagrange equations, the variational problem is attacked directly by discretization of the integrals in the energy identity using finite differences. Results of the analysis are values of the Marangoni number below which axisymmetric disturbances to the basic state will decay, for various values of the other parameters governing the problem.
Document ID
19900061665
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Shen, Y.
(Arizona State Univ. Tempe, AZ, United States)
Neitzel, G. P.
(Arizona State Univ. Tempe, AZ, United States)
Jankowski, D. F.
(Arizona State Univ. Tempe, AZ, United States)
Mittelmann, H. D.
(Arizona State University Tempe, United States)
Date Acquired
August 14, 2013
Publication Date
August 1, 1990
Publication Information
Publication: Journal of Fluid Mechanics
Volume: 217
ISSN: 0022-1120
Subject Category
Materials Processing
Accession Number
90A48720
Funding Number(s)
CONTRACT_GRANT: NAG3-568
CONTRACT_GRANT: AF-AFOSR-84-0315
CONTRACT_GRANT: NSF MSM-83-51490
Distribution Limits
Public
Copyright
Other

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