The investigation results of granular temperature during rapid gravity flow of granular medium on a rough chute are discussed. The granular temperature is determined as the kinetic energy of several forms of mutual displacements of particles. The influence of the chute angle on the value ratio of different components of granular temperature is analyzed. The components of granular temperature induced by fluctuation, shear and transversal mutual displacements of particles were taken into account.

The micro structural models for shear stress generation during rapid gravity flow of granular materials on a rough chute are discussed. The mechanism of the shear stress formation, taking into account the tangential impulse formed under transversal mass transfer of particles, is suggested. The analogy between granular media during rapid shear deformation and dense gases is used to develop the suggested mechanism on the basis of kinetic theory. The total shear stress is determined as the sum of the stress components induced by collisions, transversal mass transfer and contact interactions of uniform cohesionless inelastic spherical particles. The mathematical models describing the components of shear kinetic stresses are developed as the functions of particle properties, structural and kinematical gravity flow characteristics. The equations of impulse and energy conservation in the course of rapid gravity flow of uniform cohesionless particles are formulated. A variant of the formulation of boundary conditions at the flow bottom is proposed for mathematical modeling of the dynamics of rapid gravity flows of granular materials on a rough chute. The variant assumes the displacement of the area with the most intense shear rate inside the flow and into its layers adjacent to the rough chute surface.

Phenomenological approaches to describing the rheological behavior of granular materials under conditions of rapid and quasi-plastic shear deformations are considered. A unified approach to the phenomenological-logical description of the physical parameter, called the temperature of the granular medium, and the mechanisms of shear stress generation is proposed. A description is given of the mechanism for generating shear stresses under the action of a flow of pulses directed along the shear rate gradient and caused by transverse quasi-diffusion of particles. This mechanism is taken into account in the rheological model in addition to the traditional mechanism of generating kinetic shear stresses under the action of tangential shock pulses.