Ceramics-Silikáty 31, (3) 193 - 205 (1987)

Knowledge of the temperature fields in the immediate proximity of the surface of electrodes is a necessary prerequisite of investigations concerned with corrosion and other processes taking place at the electrodes in glass melts. Comprehensive data for this purpose can be obtained by means of simple mathematical models which contain equations (3) and (5); the latter also involves convective flow described by the uniform velocity profile. The analytical solution (7) of equation (3) describes the tempe1ature field (Fig. 1) in motionless glass melt. Equations (3) and (5) were resolved numerically with the use of the finite differences method and the uniform profile of dimensionless velocity f(η) was applied. The effect of the ky product is shown in Figs. 1 and 2 (equation (3)), the role of velocity and that of the exponents in equations (11a, b) and (12a, b) is illustrated by Figs. 3 through 10. The influenre of hnrmonic 50 Hz current supply can be seen in Fig. 11 showing the time development of the temperature field.