Fluid flow in the welds can transport inclusion to regions of varying temperature. This leads to growth and dissolution of inclusions and will affect the final inclusion distribution. Typical particle trajectory of two inclusions in a stationary weld pool is shown below. Corresponding temperature fluctuations are also shown below.
 

Particle Trajectory	Corresponding Temperature Fluctuations

This shows some of the inclusions will dissolve once and form once (black curve) and some of them will undergo cyclic growth and dissolution before being captured by the solid-liquid interface. Similar work are being pursued by Prof. T. DebRoy with 3-D computational heat transfer and fluid flow models.