A simple kinetic theory for granular flow of binary mixtures of smooth, inelastic, spherical particles Export

@article{farrell1986, abstract = {Summary Following the approach of the kinetic theory for mixtures of dense gases, the general conservation equations for the rapid flow of a binary mixture of smooth, inelastic, spherical granular particles are derived. Explicit constitutive relations for stress and rate of energy dissipation are obtained by making simple approximations for the particle velocity distribution functions. These approximations are appropriate for cases where collisional interactions are the dominant mechanism for momentum and energy exchange in the system. The theory is applied to the case of simple shear flow. In general, the theory predicts that stresses decrease with increasing concentration of the small particles and decreasing diameter ratio of small to large particles. Theoretical predictions of stresses are compared with experimental results and reasonable agreement is found.}, author = {Farrell, M. and Lun, C. and Savage, S.}, citeulike-article-id = {2516571}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/BF01182539}, day = {29}, doi = {10.1007/BF01182539}, journal = {Acta Mechanica}, keywords = {chute\_flow, grain, grain\_flow, granular, granular\_flow, granular\_temperature, incline, kinetic\_theory, shear\_flow, surface\_flow}, month = {November}, number = {1}, pages = {45--60}, posted-at = {2008-03-11 20:42:18}, priority = {2}, title = {A simple kinetic theory for granular flow of binary mixtures of smooth, inelastic, spherical particles}, url = {http://dx.doi.org/10.1007/BF01182539}, volume = {63}, year = {1986} }

TY - JOUR ID - farrell1986 L3 - citeulike-article-id:2516571 N2 - Summary Following the approach of the kinetic theory for mixtures of dense gases, the general conservation equations for the rapid flow of a binary mixture of smooth, inelastic, spherical granular particles are derived. Explicit constitutive relations for stress and rate of energy dissipation are obtained by making simple approximations for the particle velocity distribution functions. These approximations are appropriate for cases where collisional interactions are the dominant mechanism for momentum and energy exchange in the system. The theory is applied to the case of simple shear flow. In general, the theory predicts that stresses decrease with increasing concentration of the small particles and decreasing diameter ratio of small to large particles. Theoretical predictions of stresses are compared with experimental results and reasonable agreement is found. IS - 1 JF - Acta Mechanica EP - 60 TI - A simple kinetic theory for granular flow of binary mixtures of smooth, inelastic, spherical particles VL - 63 SP - 45 KW - chute_flow KW - grain KW - grain_flow KW - granular KW - granular_flow KW - granular_temperature KW - incline KW - kinetic_theory KW - shear_flow KW - surface_flow AU - Farrell, M AU - Lun, C AU - Savage, S PY - 1986/11/29/ UR - http://dx.doi.org/10.1007/BF01182539 ER -