I am looking for correlations or predictions for the effect of suspended particles (at different volume fractions and for different flow regimes) on heat transfer and mass transfer of solutes in a (continuous) liquid phase.
I think you might find your answer in the book "Bubbles, drops and particles", R Clift et al. (1978) or look for Journal publications by Dr Martin Sommerfeld.
Since phonon lifetimes tend to be very short, I always assumed the mean field approach would do very well for heat. Is this not the case? For mass transport I think there has been a lot of work going back to Jeffreys on how flow affects irregular particles orientation. I know there is some transport effect like shear enhanced viscosity. I wrote something in the last year but have not sent it off for publication since I am still tweaking it.