A viscous flow model based on the Navier-Stokes equation is developed to describe coke descending behavior in the 1/7-scaled-down experimental setup of an actual 75 t/h cooling shaft. It is found that the internal friction due to cokes viscosity significantly influences the descending behavior of cokes in the lower part of the shaft, while the external wall friction dominates the sluggish flow of the cokes in the shaft. An asymptotic friction coefficient expression is proposed for granular mixtures flowing along the shaft wall modified from normal wall tress, and the concept of bulk solid viscosity is introduced to describe the internal friction between coke particles. The results simulated by the present model are compared with those by the potential flow and the kinematic model without friction. The viscous flow model is quite good to simulate the bulk coke flow as the physically important frictions are engaged. 2007