Roll waves on a shallow layer of debris modeled as a dilatant fluid

S. Longo

Department of Civil Engineering, University of Parma, Parma, Italy

Keywords: roll waves, debris-flow, shock condition

ABSTRACT: A shallow layer of dilatant fluid (t  = a(  u/  y)n with n = 2) in laminar motion is considered to study finite amplitude roll waves down a slope, simplified by Karmanís momentum integral approach. The existence of a condition of a periodic discontinuous solution is derived, neglecting the finite length of the shock, the curvature of trajectories and surface tension effects. Energy dissipation in the body of the stream and in the discontinuity are analyzed and discussed.