Shear-rate-dependent transport coefficients in granular suspensions.

Area of Science:

• Physics
• Granular Materials Science

Background:

• Granular suspensions exhibit complex behavior, especially under shear flow.
• Understanding transport properties in inhomogeneous states is crucial for material science applications.

Purpose of the Study:

• To analyze transport properties of monodisperse granular suspensions in inhomogeneous states near simple shear flow.
• To derive and solve kinetic equations for granular suspensions, incorporating interstitial gas effects.

Main Methods:

• Utilized a recent model for monodisperse granular suspensions based on the inelastic Boltzmann equation.
• Employed a Chapman-Enskog-like expansion to obtain a normal solution for spatially inhomogeneous states.
• Approximated solutions to coupled linear integral equations using a kinetic model.

Main Results:

• Derived expressions for transport coefficients governing momentum and heat transport near shear flow.
• Obtained explicit forms of generalized transport coefficients under steady-state conditions.
• Illustrated the shear-rate dependence of transport coefficients for various coefficients of restitution.

Conclusions:

• The study provides a theoretical framework for analyzing transport in sheared granular suspensions.
• The findings highlight the influence of shear rate and inter-particle interactions on transport properties.
• This work contributes to the fundamental understanding of granular flow dynamics.