The development of kinetic theory is outlined for collisional flows of identical, frictionless, nearly elastic spheres. This leads to balance laws for mass, momentum, and energy, and to constitutive relations for the stress, energyflux, and rate of energy dissipation. Also, the derivation of boundary conditions for the slip velocity and energy flux is sketched for bumpy, frictionless boundaries. Finally, the solution of a boundary-value problem is provided for a dense, steady, collisional shearing flow maintained by the relative motion of parallel, bumpy boundaries.
展开▼
