DYNAMIC CALCULATIONS FOR PARTICLE PUSHING

SCHVEZOV, CARLOS

Solidification 1999

S.P. Marsh, N.B. Singh, P.W. Voorhees, and W.H. Hofmeister, editor. A publication of The Minerals, Metals & Materials Society.

Lugar: San Diego-California. USA.; Año: 1999; p. 251 - 261

The interaction of particles with a solidifying interface is studied dynamically employing mathematical modeling. The two main physical forces involved which are the drag and the pushing force are calculated for different particle and interface morphologies. Both forces are integrated analytically and the dynamic equation resulting from the application of Newton´s Law is integrated numerically. The pushing forces come from the Lifshitz-Van der Waals interactions. The results show stable steady state interactions for flat interface and spherical particles. However for curved interface shapes the steady state is reached for values of the interface velocity and particle radius which depend on the curvature of the interface. In the present report the results of the calculations are presented and the conditions for pushing are discussed.