We analyze the existing models of granular flow where the particle’s phase stress tensor is regarded as dominated by translational‐collisional stresses. We extend the commonly used concept of a granular phase pseudo‐temperature to develop a pseudo‐thermodynamic theory of such systems. This is accomplished by introducing the concept of pseudo‐entropy, a quantity which can actually be calculated from the existing theories. The systems considered are shown to exhibit entropic elasticity. The consistency of constitutive equations available in the literature is tested against the pseudo‐thermodynamic theory; the test is mostly successful, except for one term sometimes used in the constitutive equation for the flux of pseudo‐energy, which, according to our theory, should be identically zero.
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July 1993
Research Article|
July 01 1993
A pseudo‐thermodynamic theory of granular flow rheology
Raffaella Ocone;
Raffaella Ocone
Department of Chemical Engineering, University of Naples Federico II, Piazzale V. Tecchio, 80, 80125 Napoli, Italy
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Gianni Astarita
Gianni Astarita
Department of Chemical Engineering, University of Naples Federico II, Piazzale V. Tecchio, 80, 80125 Napoli, Italy
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J. Rheol. 37, 727–742 (1993)
Article history
Received:
January 15 1993
Accepted:
March 30 1993
Citation
Raffaella Ocone, Gianni Astarita; A pseudo‐thermodynamic theory of granular flow rheology. J. Rheol. 1 July 1993; 37 (4): 727–742. https://doi.org/10.1122/1.550392
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