Mathematical and Experimental Modeling of the Circulation Patterns in Glass Melts

1972 ◽  
Vol 94 (2) ◽  
pp. 149-154 ◽  
Author(s):  
J. J. Noble ◽  
L. A. Clomburg ◽  
A. F. Sarofim ◽  
H. C. Hottel

Natural convection currents in a rectangular two-dimensional enclosure representative of the longitudinal section of an industrial glass-melting furnace have been established by both model experiments and numerical calculation. For the latter a finite-difference method has been employed to solve the time-dependent coupled flow and energy equations. The highly generalized mathematical model makes allowance for buoyancy, temperature-dependent viscosity, and diffusive radiation. Generalized boundary conditions are employed to permit specification of any combination of temperature, flux, or mixed thermal boundary conditions. Representative temperature and flow contour maps obtained from the calculations are shown to agree well with experimental results obtained with a 1/20 scale model in which glycerine was employed as the modeling fluid.

Equipment ◽  
2006 ◽  
Author(s):  
B. Remy ◽  
O. Auchet ◽  
M. Girault

1979 ◽  
Vol 36 (12) ◽  
pp. 701-703
Author(s):  
V. M. Obukhov ◽  
Yu. S. Yakovlev ◽  
V. P. Krysin

1988 ◽  
Vol 45 (3) ◽  
pp. 121-123
Author(s):  
V. I. Kirilenko ◽  
I. S. Il'yashenko ◽  
A. I. Es'kov ◽  
I. B. Smulyanskii ◽  
V. I. Basov

2007 ◽  
Vol 553 ◽  
pp. 124-129 ◽  
Author(s):  
Isaac Arellano ◽  
Gabriel Plascencia ◽  
Elías Carrillo ◽  
Miguel A. Barrón ◽  
Adolfo Sánchez ◽  
...  

In this paper we propose the design of a novel induction furnace for glass melting. The design is based on a mathematical analysis and performed numerically by means of the Finite Element Method. Several induction coils configurations were tested. The results from the mathematical model show that it is possible to melt glass in a furnace whose hearth is no larger than half a metre by using axial induction coils and high frequencies. This furnace configuration may result in increased glass melting rates along with the elimination of harmful emissions.


1986 ◽  
Vol 43 (10) ◽  
pp. 439-441
Author(s):  
V. N. Korotkevich ◽  
Yu. A. Orlov ◽  
V. L. Mironov

1975 ◽  
Vol 32 (12) ◽  
pp. 793-797
Author(s):  
V. I. Laptev ◽  
V. P. Sokolova ◽  
D. A. Kryuchenkov ◽  
D. S. Grebenyuk

Author(s):  
C. Nonino ◽  
S. Del Giudice ◽  
S. Savino

The effects of viscous dissipation and temperature dependent viscosity in simultaneously developing laminar flows of liquids in straight microchannels of circular cross-section are studied with reference to convective boundary conditions. Viscosity is assumed to vary linearly with temperature, in order to allow a parametric investigation, while the other fluid properties are held constant. A finite element procedure, based on a projection algorithm, is employed for the step-by-step solution of the parabolized momentum and energy equations. Axial distributions of the local overall Nusselt number and of the apparent Fanning friction factor are presented with reference to both heating and cooling conditions for three different values of the Biot number. Examples of temperature profiles at different axial locations are also shown.


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