Ostwald ripening in the isothermal rheocasting process

Abstract

Ostwald ripening in the isothermal rheocasting process has been treated utilizing the third law of thermodynamics to extend the LSW theory to include the case of shear flow in the liquid parent phase. The proposed extended LSW theory predicts that: (1) there exists an upper l imit a stationary particle radius r s, for the particle growth which can not be exceeded by stirring: (2) for the normal rheocasting process the critical radius r ∗ is characterized as r 5 3 / r 2 3 , which follows the coarsening law of (r ∗) 7 3 — (r ∗ 0 7 3 = kt in which the rate constant k is shown to be proportional to the shear rate dot y 1 3 and the solute diffusivity D 2 3 .