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A theoretical and numerical study of the flow of granular materials

Technical Report ·
OSTI ID:5221091
In this report the governing equations for the flow of granular materials, taking into account the heat transfer mechanism by conduction, are derived using a continuum model (cf. Goodman Cowin (1,2), Rajagopal Massoudi (3)). For a fully developed flow of these materials down an inclined plane, the equations reduce to a system of coupled non-linear ordinary differential equations. The resulting boundary value problem is solved numerically and the results are presented, for cases where the viscosity and thermal conductivity are assumed to be functions of the volume fraction. It is shown that the equations admit multiple solutions for certain values of the parameters.
Research Organization:
Pittsburgh Univ., PA (United States). Dept. of Mechanical Engineering
Sponsoring Organization:
DOE; USDOE, Washington, DC (United States)
DOE Contract Number:
AC22-91PC90180
OSTI ID:
5221091
Report Number(s):
DOE/PC/90180-T5; ON: DE92015435
Country of Publication:
United States
Language:
English