A multi-phase ferrofluid flow model with equation of state for thermomagnetic pumping and heat transfer
Eskil Aursand, Magnus Aa. Gjennestad, Karl Yngve Lerv{\aa}g, Halvor, Lund

TL;DR
This paper presents a comprehensive one-dimensional multi-phase flow model for thermomagnetically pumped ferrofluids, integrating thermodynamic and magnetization models, validated against experimental data, highlighting sensitivity to heat transfer uncertainties.
Contribution
It introduces a novel combined thermodynamic and magnetization model for ferrofluid flow with heat transfer, validated against experiments, and analyzes sensitivity to heat transfer uncertainties.
Findings
Model accurately predicts thermomagnetic pumping performance
Results show high sensitivity to heat transfer coefficient uncertainties
Validated against literature experiments
Abstract
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.
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