Multiscale analysis of thermal field flow fractionation through macrotransport approach

We introduce the general theory of macrotransport processes to analyze thermal field flow fractionation (ThFFF). Multiscale analysis is carried out by adopting local and total moments. It is shown that the scheme of macrotransport processes is easier to apply and mathematically straightforward than exiting microscopic methods. The mean solute velocity and dispersivity associated with the retention time and standard deviation of a fractogram are calculated considering the temperature dependence of viscosity for ThFFF. A Gaussian distribution function is fitted to the fractogram measured experimentally and then the Soret numbers are calculated by using the retention time and standard deviation.