Linear-stability theory of thermocapillary convection in a model of float-zone crystal growthLinear-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 will remain 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.
Document ID
19920045587
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Neitzel, G. P. (Georgia Institute of Technology Atlanta, United States)
Chang, K.-T. (NASA Lewis Research Center Cleveland, OH, United States)
Jankowski, D. F. (NASA Lewis Research Center Cleveland, OH, United States)
Mittelmann, H. D. (Arizona State University Tempe, United States)