Existence of solutions to the equations governing the flow of granular materials Academic Article uri icon

abstract

  • In this work, we shall investigate the existence of solutions for the flow of a granular materials down an inclined plane maintained at a constant temperature. The constitutive equation for the stress is one that has been used recently [Rajagopal & Massoudi, 1990]. The governing equations reduce to a system of coupled, non-linear ordinary differential equations with non-linear boundary conditions. We find that these equations admit non-unique solutions, one in which the volume fraction monotonically increases and the other in which it monotonically decreases from the inclined plane to the free surface.

author list (cited authors)

  • Rajagopal, K. R., Troy, W., & Massoudi, M.

publication date

  • December 1992