In the present study we measured the immersed vertical cylinder surface-to-slurry heat transfer coefficient in the liquid-solid and gas-slurry (three-phase) transport beds at controlled solid concentrations. The slurry contained 0.1 mm inert glass beads and the solid fraction in the slurry was varied from 0% to 10% by volume. The liquid viscosity was widely varied by using water and a 1.0wt% aqueous CMC solution. A unified dimensionless equation for the heat transfer coefficient with a coefficient of variation of 14.9% was successfully formulated in terms of the Nusselt number, the Prandtl number and the specific power group including the energy dissipation rate per unit mass of slurry in both transport bed systems. The presence of a good analogy was ascertained between the heat transfer and mass transfer on the vertical cylinder.