Abstract
If one regards the crystal surface as stationary, then crystal growth generates a flow through the crystal-fluid interface. The flow velocity in the crystal is V c, the physically measureable growth rate. The corresponding velocity in the fluid at the interface is called here the crystallization flow, which is not equal to the crystal growth rate. The exact relationship between growth rate and crystallization flow depends on whether the diffusion flux is referred to the mass average velocity, the mole average velocity, or the volume average velocity. Application of the results to growth rate, segregation, and constitutional supercooling calculations are discussed. With the proper relationships for crystallization flow these calculations are valid for crystal growth from solutions and vapors as well as from high purity melts.
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