Zh. Zhu et al., INFLUENCE OF THE INTERFACE KINETICS OF CRYSTALLIZATION AND DISSOLUTION ON THE SCALING LAWS IN SOLUTION SYSTEM FOR CRYSTAL-GROWTH, Communications in Theoretical Physics, 30(3), 1998, pp. 391-396
The influence of interface kinetics on scaling laws in a solution syst
em for cry stal growth is studied. Because the variation of the soluti
on density caused by the solute concentration change can be omitted an
d only that caused by the temperature change is taken into account, th
e interface kinetics does not affect the scaling laws of the fluid vel
ocity and the temperature distribution index S-theta. By taking the in
terface kinetics into account, the curves of the concentration distrib
ution index S-phi versus the Rayleigh number Ra, the Prandtl number Pr
or the Schmidt number Sc are changed. When Ra and Sc are small. S-phi
approaches a constant S-phi(0) independent of Ra, Sc and lambda. When
Ra and Sc are large, the influence of the interface kinetics on the c
urves of S-phi is negligible. The interface kinetics affects the curve
s of the average dimensionless crystal growth rate (V) over bar(cg) ve
rsus Ra, Sc or Pr only when Ra and Sc are large. In this case, (V) ove
r bar(cg) is still a power function of Ra, Pr or Sc in certain regions
of the parameter (Ra, Pr and Sc) space, but the exponents and coeffic
ients of power functions are varied.