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Orientational correlation and velocity distributions in uniform shear flow of a dilute granular gas
Bishakdatta Gayen1, Meheboob Alam
1Engineering Mechanics Unit, Jawaharlal Nehru Center for Advanced Scientific Research, Jakkur PO, Bangalore 560064, India.
Abstract:
Using particle simulations of the uniform shear flow of a rough dilute granular gas, we show that the translational and rotational velocities are strongly correlated in direction, but there is no orientational correlation-induced singularity at perfectly smooth (beta=-1) and rough (beta=1) limits for elastic collisions (e=1); both the translational and rotational velocity distribution functions remain close to a Gaussian for these two limiting cases. Away from these two limits, the orientational as well as spatial velocity correlations are responsible for the emergence of non-Gaussian high-velocity tails. The tails of both distribution functions follow stretched exponentials, with the exponents depending on normal (e) and tangential (beta) restitution coefficients.
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