We consider steady, fully developed flows of inelastic grains driven by gravity between identical bumpy walls. Bumpy walls provide a mechanism for the production or dissipation of fluctuation energy that can maintain a steady, fully-developed flow. Using balance equations, constitutive relations and boundary conditions that result from kinetic theory, we calculate the fields of mean velocity, fluctuation velocity and concentration across the chute, for a variety of flow rates, particle parameters and chute width. We find two qualitatively different steady flow regimes. One is a dense flow regime with low mean velocity while the other is one with a dilute flow and higher mean velocity. © 2005 Taylor & Francis Group.