Kinetic theory for granular flow of dense, slightly inelastic, slightly rough spheres Export

@article{lun1991, abstract = {A general set of conservation equations and constitutive integrals for the dynamic properties of the rapid flow of a granular material consisting of slightly inelastic and slightly rough spherical particles is derived by following an approach used in the kinetic theory of dense gases. By taking moments of the translational and rotational particle velocities in the general transport moment equation and making the Enskog approximation, the singlet velocity distribution function is determined. As a result, the constitutive relations and coefficients such as stresses, energy fluxes, rates of translational and rotational energy interchanges, shear viscosity, spin viscosity, bulk viscosity and 'thermal' conductivities are obtained. The present theory incorporates the kinetic as well as the collisional contributions for stresses and energy fluxes. Thus, it is appropriate for dilute as well as dense concentrations of solids. For the case of simple shear flow, there is favourable agreement between the theoretical predictions of stresses and both the experimental measurements and the results from computer simulations.}, author = {Lun, C. K. K.}, citeulike-article-id = {2516550}, citeulike-linkout-0 = {http://journals.cambridge.org/action/displayAbstract?aid=397872}, journal = {Journal of Fluid Mechanics}, keywords = {chute\_flow, continuum\_granular\_theory, grain, grain\_flow, granular, granular\_flow, granular\_temperature, incline, kinetic\_theory, shear\_flow, surface\_flow}, pages = {539--559}, posted-at = {2008-03-11 20:35:19}, priority = {2}, title = {Kinetic theory for granular flow of dense, slightly inelastic, slightly rough spheres}, url = {http://journals.cambridge.org/action/displayAbstract?aid=397872}, volume = {233}, year = {1991} }

TY - JOUR ID - lun1991 L3 - citeulike-article-id:2516550 N2 - A general set of conservation equations and constitutive integrals for the dynamic properties of the rapid flow of a granular material consisting of slightly inelastic and slightly rough spherical particles is derived by following an approach used in the kinetic theory of dense gases. By taking moments of the translational and rotational particle velocities in the general transport moment equation and making the Enskog approximation, the singlet velocity distribution function is determined. As a result, the constitutive relations and coefficients such as stresses, energy fluxes, rates of translational and rotational energy interchanges, shear viscosity, spin viscosity, bulk viscosity and ‘thermal’ conductivities are obtained. The present theory incorporates the kinetic as well as the collisional contributions for stresses and energy fluxes. Thus, it is appropriate for dilute as well as dense concentrations of solids. For the case of simple shear flow, there is favourable agreement between the theoretical predictions of stresses and both the experimental measurements and the results from computer simulations. JF - Journal of Fluid Mechanics EP - 559 TI - Kinetic theory for granular flow of dense, slightly inelastic, slightly rough spheres VL - 233 SP - 539 KW - chute_flow KW - continuum_granular_theory 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 - Lun, CKK PY - 1991/// UR - http://journals.cambridge.org/action/displayAbstract?aid=397872 ER -