Thermal transport of fluid containing homogeneous microstructures

The present work develops a unified transport model towards investigating the thermal transport for fluids containing homogeneous and freely rotating internal structures in conduits with dimensions comparable to the structures present. In the continuum limit, such fluids are modeled using the micropolar theory. Utilizing a generalized micro-rotation slip boundary condition, closed form expressions are derived for the Nusselt number variations for thermally fully developed flows. These results provide valuable physical insights on the implications of the micro-rotation slip parameter and the viscosity ratios on the convective heat transfer characteristics.