Segregation by thermal diffusion in granular shear flows

Abstract

Segregation by thermal diffusion of an intruder immersed in a sheared granular gas is analyzed from the (inelastic) Boltzmann equation. Segregation is induced by the presence of a temperature gradient orthogonal to the shear flow plane and parallel to gravity. We show that, like in analogous systems without shear, the segregation criterion yields a transition between upwards segregation and downwards segregation. The form of the phase diagrams is illustrated in detail showing that they depend sensitively on the value of gravity relative to the thermal gradient. Two specific situations are considered: i) absence of gravity, and ii) homogeneous temperature. We find that both mechanisms (upwards and downwards segregation) are stronger and more clearly separated when compared with segregation criteria in systems without shear.

8 figures. To appear in J. Stat. Mech

References in corpus (6)

• Inherent Rheology of a Granular Fluid in Uniform Shear Flow
• Segregation induced by inelasticity in a vibrofluidized granular mixture
• Brazil-nut effect versus reverse Brazil-nut effect in a moderately dense granular fluid
• Segregation in granular binary mixtures: Thermal diffusion
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Cited by in corpus (5)

• Steady base states for non-Newtonian granular hydrodynamics
• Generalized transport coefficients for inelastic Maxwell mixtures under shear flow
• Computer simulations of an impurity in a granular gas under planar Couette flow
• Hydrodynamic granular segregation induced by boundary heating and shear
• Rheology of a dilute binary mixture of inertial suspension under simple shear flow