Heat and mass transfers during the Vibrating Wavelike Sloping Plate process （VWSP） were studied by the methods of numerical simulation and experiment. The results show that during the VWSP process

the heat of the melt diffuses along the normal line to the sloping plate surface in the macroscopic scale

and the isothermal line gradually deviates from the sloping plate surface to the interface between the melt and the air. Micro mass point dissipates heat homogenously along very directions on the surface

which promotes eruptive nucleation and provides important preconditions for fine spherical grain formation. Vibration and metal flow greatly improve solute diffusion coefficient and accelerate the solute diffusion in the liquid phase

which leads to homogenous solute distribution and provides preconditions for eruptive nucleation and spherical growth.