## Description

2014 , Purdue University, West Lafayette, IN, October 1‑3, 2014. We study the steady fully developed flow of granular materials between two horizontal flat plates, subject to slip at the walls. The constitutive equation used in our study is a model proposed by Rajagopal et al. [1], and the material properties such as viscosity and the normal stress coefficients are derived using the kinetic theory approximation proposed by Boyle and Massoudi [2] which includes the effect of the gradient of volume fraction. The slip boundary condition is based on the particle dynamics simulation results of Rosato and Kim [3]. The governing equations are nondimensionalized, and the resulting system of nonlinear differential equations is solved numerically. The results for the velocity profiles and the volume fraction profiles are presented. REFERENCES [1] Rajagopal, K.R., Massoudi, M., Wineman, A.S. Flow of granular materials between rotating disks. Mechanics Research Communications. 1994, 21, 629–634. [2] Boyle, E.J., Massoudi, M. A theory for granular materials exhibiting normal stress effects based on Enskog’s dense gas theory. Int. J. Engng. Sci. 1990,28(12), 1261–1275. [3] Rosato, A.D., Kim, H. Particle dynamics calculations of wall stresses and slip velocities for Couette flow of smooth inelastic spheres. Continuum Mech. Thermodyn. 1994, 6, 1‑20.

## Recommended Citation

Zhao, X.,
&
Massoudi, M.
(2014).
Flow of granular materials with slip boundary condition.
In A. Bajaj, P. Zavattieri, M. Koslowski, & T. Siegmund (Eds.).
*
Proceedings of the Society of Engineering Science 51st Annual Technical Meeting, October 1-3, 2014
*,
West Lafayette: Purdue University Libraries Scholarly Publishing Services, 2014.
https://docs.lib.purdue.edu/ses2014/mss/mmpm/2

Flow of granular materials with slip boundary condition

2014 , Purdue University, West Lafayette, IN, October 1‑3, 2014. We study the steady fully developed flow of granular materials between two horizontal flat plates, subject to slip at the walls. The constitutive equation used in our study is a model proposed by Rajagopal et al. [1], and the material properties such as viscosity and the normal stress coefficients are derived using the kinetic theory approximation proposed by Boyle and Massoudi [2] which includes the effect of the gradient of volume fraction. The slip boundary condition is based on the particle dynamics simulation results of Rosato and Kim [3]. The governing equations are nondimensionalized, and the resulting system of nonlinear differential equations is solved numerically. The results for the velocity profiles and the volume fraction profiles are presented. REFERENCES [1] Rajagopal, K.R., Massoudi, M., Wineman, A.S. Flow of granular materials between rotating disks. Mechanics Research Communications. 1994, 21, 629–634. [2] Boyle, E.J., Massoudi, M. A theory for granular materials exhibiting normal stress effects based on Enskog’s dense gas theory. Int. J. Engng. Sci. 1990,28(12), 1261–1275. [3] Rosato, A.D., Kim, H. Particle dynamics calculations of wall stresses and slip velocities for Couette flow of smooth inelastic spheres. Continuum Mech. Thermodyn. 1994, 6, 1‑20.