Convective heat transfer of the flow through a rotating circular straight pipe

Laminar heat transfer for large ranges of Reynold's numbers, rotational Reynolds numbers, and Prandtl numbers are studied numerically for incompressible fully developed in a circular straight pipe, which is rotating constantly about an axis perpendicular to its own axis under the constant wall temperature gradient condition. There exist four types of local Nusselt number distributions associated with the four different flow regimes for different parameters depending on the relative importance of different forces. Correlations of the averaged Nusselt number are also provided. When the Prandtl number is sufficiently large, the temperature distribution in the core is determined essentially by the secondary flow. Scaling analyses are provided for understanding the essential physics of the problem.