Open AccessExperimental study on the local equation of state for vibrated granular gases
Author(s) -
Chen Yp,
P. Évesque,
MY Hou
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.164503
Subject(s) - equation of state , constitutive equation , diagonal , physics , cauchy stress tensor , tensor (intrinsic definition) , granular material , collision , stress (linguistics) , mechanics , materials science , classical mechanics , thermodynamics , mathematics , geometry , quantum mechanics , linguistics , philosophy , computer security , finite element method , computer science
We experimentally measure the local equation of state for two-dimensional horizontal fluidize granular gases confined in a rectangle box. Local equation of state can be seen as a local constitutive equation of temperature, pressure and the number density. Except the kinetic parts, the collision parts of the stress tensor are included. The diagonal components of the stress tensor are almost constant, which is consistent with the results from the simulation and hydrodynamic theory. Furthermore, the spacial profiles of the temperature and the number density are shown to be consistent with the experimental results of micro-gravity. Finally the local equations of state for different area fractions are found to have great discrepancies with the theoretical predictions no matter how the low or dense the density is.