  A one-dimensional multi-phase flow model for thermomagnetically pumped
ferrofluid with heat transfer is proposed. The thermodynamic model is a
combination of a simplified particle model and thermodynamic equations of state
for the base fluid. The magnetization model is based on statistical mechanics,
taking into account non-uniform particle size distributions. An implementation
of the proposed model is validated against experiments from the literature, and
found to give good predictions for the thermomagnetic pumping performance.
However, the results reveal a very large sensitivity to uncertainties in heat
transfer coefficient predictions.
