Experimental tests of granular kinetic theory: We conduct experiments to
directly test granular kinetic theory in the laboratory. From snapshots of a 2D
rotating layer of spheres trapped between two glass plates, we extract the
velocity field using a temporal cross-correlation technique we developed for
dense granular flows. The result is
shown to the left as a speed field. We
measure the local statistical properties of the grains from close-up
high-speed digital photography shown in the lower left image. We developed highly adaptable particle tracking software to
extract the velocities of individual particles. The blue and green dots are the centers of the particles in
successive frames. From this data, we
calculate the histogram of the velocities (small blue dots) that shows
excellent agreement with kinetic theory (solid black curve). At moderate rotation rates three flow
regimes are formed --- a dilute gas at the top, a dense gas in the middle, and an
elasto-plastic solid at the bottom. In earlier work, we have confirmed that
continuum equations of motion derived using kinetic theory of dense inelastic
gases give quantitative results for the dilute phase. We are now exploring
their applicability to the dense phase, where we may encounter viscoelastic
behavior, which is not currently included in the theory. Finally we are exploring ways of extending
kinetic theory and connecting with elasto-plastic solid models to bring the
entire flow regime under a unified theory.