Chromatographic Melt Transport

According to Spiegelman and Elliott (1993), the consequences of melt transport through a steady-state dCj/dt = 0), one-dimensional melting column on the concentration of radioacitive isotopes can be 

In a one-dimensional steady-state melting column, the variation of the enrichment factor or, with depth due to melt transport is given by Spiegelman and Elliott (1993) (after correction of another typographical error in their Eq. 15) 

Equations (5.95), (5.96) and (5.97) are suitable for constant critical melting porosity. In a one dimensional steady state melting column as a result of decompression melting, the porosity may increase from the bottom to the top of the column. If melting porosities change as a function of the spatial position, the related differential equations need to be solved numerically. More details of various melt transport models by porous flow have been given by Spiegelman and Elliott (1993), Iwamori, (1994), and Lundstrom (2000). 

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