A model to describe the solids flow under blast furnace conditions with cou
ntercurrent gas flow is developed on the basis of fluid mechanics and the p
rinciples of solid mechanics. The surface stress resulting from the interac
tion among flowing particles is considered to be composed of two parts: rat
e-dependent and rate-independent. The concept of viscosity is extended to s
olids flow To represent the hydrodynamic particle-particle interaction (rat
e-dependent part), and the concept of solid plastic modulus and Coulomb fri
ctional stress relation are employed to describe the frictional contact int
eraction (rate-independent part). Moreover, a method is proposed to determi
ne the transition between moving and non-moving zones, i.e. the profile of
stagnant zone. The validity of the model is demonstrated by the good agreem
ent between the model predictions and measurements obtained from a cold phy
sical model of a blast furnace under various flow conditions.