Linear-stability theory of thermocapillary convection in a model of the float-zone crystal-growth process

G. P. Neitzel, K. T. Chang, D. F. Jankowski, Hans Mittelmann

Research output: Contribution to journalArticlepeer-review

72 Scopus citations

Abstract

Linear-stability theory has been applied to a basic state of thermocapillary convection in a model half-zone to determine values of the Marangoni number above which instability is guaranteed. The basic state must be determined numerically since the half-zone is of finite, O(1) aspect ratio with two-dimensional flow and temperature fields. This, in turn, means that the governing equations for disturbance quantities are nonseparable partial differential equations. The disturbance equations are treated by a staggered-grid discretization scheme. Results are presented for a variety of parameters of interest in the problem, including both terrestrial and microgravity cases; they complement recent calculations of the corresponding energy-stability limits.

Original languageEnglish (US)
Pages (from-to)108-114
Number of pages7
JournalPhysics of Fluids A
Volume5
Issue number1
DOIs
StatePublished - 1992

ASJC Scopus subject areas

  • Engineering(all)

Fingerprint Dive into the research topics of 'Linear-stability theory of thermocapillary convection in a model of the float-zone crystal-growth process'. Together they form a unique fingerprint.

Cite this