T. Hong et al., QUANTITATIVE MODELING OF MOTION, TEMPERATURE GYRATIONS, AND GROWTH OFINCLUSIONS IN WELD POOL, Science and technology of welding and joining, 3(1), 1998, pp. 33-41
The velocity and temperature fields, the shape and size of the fusion
zone, and the motion of the inclusions were calculated by the solution
of equations of conservation of mass, momentum, and energy in three d
imensions for various welding conditions. The loci and the temperature
gyrations experienced by a large number of inclusions were calculated
numerically to seek a statistically meaningful residence time distrib
ution of the inclusion and the number of intensities of the temperatur
e cycles experienced by these particles. Finally, both the growth and
dissolution of the inclusions were considered to calculate their size
distribution. The inclusions experienced considerable recirculatory mo
tion and strong temperature gyrations along their paths in the weld po
ol. The temperature-time plots for most of the inclusion particles dis
played several temperature peaks. However, about one-third of the part
icles experienced continuous cooling behaviour. The average number of
the temperature peaks in the time-temperature plots and the average re
sidence time of inclusions in the weld pool changed significantly with
welding conditions. The calculated temperature-time-transformation di
agrams of the inclusions showed that the temperature gyrations affecte
d the growth rates and the size distributions of the inclusions. Good
agreement between the calculated and measured inclusion size distribut
ions indicates that important aspects of weld metal structure can be u
nderstood from the fundamentals of transport phenomena and kinetics.