S. Warr et al., FLUIDIZATION OF A 2-DIMENSIONAL GRANULAR SYSTEM - EXPERIMENTAL-STUDY AND SCALING BEHAVIOR, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(5), 1995, pp. 5583-5595
Digital high speed photography and computer image processing have been
used to investigate the fluidization behavior of a two-dimensional mo
del granular material undergoing vertical vibration. Profiles of packi
ng fraction, speed, and velocity distribution functions are measured.
The packing fraction is found to be approximately uniform in a narrow
region at the base, and a Boltzmann distribution gives a good fit in t
he upper regions. Values for the granular temperature, as a function o
f height, are extracted from the distribution functions and an approxi
mately linear decay is found. We also present results for the scaling
behavior of the granular temperature and the height of the center of m
ass. Finally, we describe a simple theoretical analysis to investigate
the origin of scaling laws.