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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.
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Keywords:
- granular gases /
- local equation of state /
- hydrodynamics
[1] Olafsen J S, Urbach J S 1998 Phys. Rev. Lett. 81 4369
[2] Losert W, Cooper D G W, Delour J, Kudrolli A, Gollub J P 1999 Chaos 9 682
[3] Brey J J, Ruiz-Montero M J, Moreno F 2000 Phys. Rev. E 62 5339
[4] Chen Y, Evesque P, Hou M 2012 Chin. Phys. Lett. 29 074501
[5] Noije van T P C, Ernst M H 1998 Granular Matter 1 57
[6] Haff P K 1983 J. Fluid Mech. 134 401
[7] Grossman E L, Zhou T, BenNaim E 1997 Phys. Rev. E 55 4200
[8] Brey J J, Cubero D 1998 Phys. Rev. E 57 2019
[9] Barrat A, Trizac E 2002 Phys. Rev. E 66 051303
[10] Jenkins J T, Savage S B 1983 J. Fluid Mech. 130 187
[11] Herbst O, Muller P, Otto M, Zippelius A 2004 Phys. Rev. E 70 051313
[12] Blair D L, Kudrolli A 2003 Phys. Rev. E 67 041301
[13] Glasser B J, Goldhirsch I 2001 Phys. Fluids 13 407
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[1] Olafsen J S, Urbach J S 1998 Phys. Rev. Lett. 81 4369
[2] Losert W, Cooper D G W, Delour J, Kudrolli A, Gollub J P 1999 Chaos 9 682
[3] Brey J J, Ruiz-Montero M J, Moreno F 2000 Phys. Rev. E 62 5339
[4] Chen Y, Evesque P, Hou M 2012 Chin. Phys. Lett. 29 074501
[5] Noije van T P C, Ernst M H 1998 Granular Matter 1 57
[6] Haff P K 1983 J. Fluid Mech. 134 401
[7] Grossman E L, Zhou T, BenNaim E 1997 Phys. Rev. E 55 4200
[8] Brey J J, Cubero D 1998 Phys. Rev. E 57 2019
[9] Barrat A, Trizac E 2002 Phys. Rev. E 66 051303
[10] Jenkins J T, Savage S B 1983 J. Fluid Mech. 130 187
[11] Herbst O, Muller P, Otto M, Zippelius A 2004 Phys. Rev. E 70 051313
[12] Blair D L, Kudrolli A 2003 Phys. Rev. E 67 041301
[13] Glasser B J, Goldhirsch I 2001 Phys. Fluids 13 407
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