The heat transport to a talin/water ice slurry in a cylindrical heat exchanger was determined by theory and experiment. The theory based on perturbation analysis is only valid for small heat transfer rates. Direchlet and Neumann boundary conditions are applied to numerically calculate temperature profiles at different distances downstream. For the constant-heat-flux-density Neumann boundary condition, numerical results were compared with measured profiles. For laminar and low-Reynolds-number turbulent flows, heat transfer coefficients are presented as a function of the Hedström number.