Kinetic theory for multi-particulate flow: Description of granular flow with rotary movement of particles

In this paper, the kinetic Theory (KT) for multi-particulate flow has been further extended by incorporating contributions from the rotary movement of particles on key flow parameters. The balance laws and constitutive relations for granular mixtures have been re-derived to incorporate contributions from both linear and angular movement of particles in determining the flow parameters. The computed results show similar trend with the existing KT based on equal granular temperature assumption. However, with different granular temperature, the change in flow parameters shows dissimilar trend compared with the previous KT. Flow properties like collisional stress, bulk viscosity of phase i decreases with the increase of the granular temperature of species j and shear viscosity and dilute viscosity increases with the increase of granular temperature of species j. A detail comparison of the computed results for a range of flow properties, based on both equal and unequal granular temperature has been presented in this paper. (C) 2019 Elsevier B.V. All rights reserved.