N. Vanandruel et M. Deville, UNSTEADY NUMERICAL-SIMULATION OF CIRCULATION AND HEAT-TRANSFER IN A GLASS MELTING TANK, Ceramics-Silikaty, 39(4), 1995, pp. 130-134
Various numerical simulations are currently available for the represen
tation of flow and heat transfer in glass melts. Increasing computer p
erformance allows 3D complex simulation coupled with electrical boosti
ng, flame radiation heat transfer, chemical reaction, bubbling, etc. W
e present the numerical results of unsteady modeling of glass flow and
heat transfer in the glass melting tank. The use of finite-element sp
atial discretization decreases the total number of degrees of freedom
required to achieve acceptable accuracy, while efficient integration s
chemes (implicit predictor-corrector) lead to time step sizes which re
duce the number of solutions even for studies of long term duration. F
irst, different variations on the TC21 test-case (modification of the
pull rate, thermal boundary profiles) are performed. This reference si
tuation was selected by the 21st Technical Committee of the Internatio
nal Commission on Glass. Following this, a reduced-scale mixed electri
cal-fuel furnace is studied, allowing the modeling of unsteady boostin
g heat transfer. Finally an unsteady advection-diffusion problem is so
lved to represent the mixing of two different types of glasses. The in
terest in unsteady modeling is two-fold: (1) the accurate time evoluti
on of flow and temperature sheds light on the structure and stability
of the flow related to a given set of physical properties and boundary
conditions; and (2) the transient solution gives reproducible and ine
xpensive information for the definition of a control process. The main
result of this study is the clear distinction between kinematic and t
hermal time constants and the feasibility of direct exchanges between
unsteady simulation and control models.