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Title: A theoretical and numerical study of the flow of granular materials down an inclined plane. Final report

Abstract

The mechanics of the flowing granular materials such as coal, agricultural products, at deal of attention as it has fertilizers, dry chemicals, metal ores, etc. have received a great deal of attention as it has relevance to several important technological problems. Despite wide interest and more than five decades of experimental and theoretical investigations, most aspects of the behavior of flowing granular materials are still not well understood. So Experiments have to be devised which quantify and describe the non-linear behavior of the modular materials, and theories developed which can explain the experimentally observed facts. As many models have been suggested for describing the behavior of granular materials, from both continuum and kinetic theory viewpoints, we proposed to investigate the validity and usefulness of representative models from both the continuum and kinetic theory points of view, by determining the prediction of such a theory, in a representative flow, with respect to existence, non-existence, multiplicity and stability of solutions. The continuum model to be investigated is an outgrowth of a model due to Goodman and Cowin (1971, 1972) and the kinetic theory models being those due to Jenkins and Richman (1985) and Boyle and Massoudi (1989). In this report we presentmore » detailed results regarding the same. Interestingly, we find that the predictions of all the theories, in certain parameter space associated with these models, are qualitatively similar. This ofcourse depends on the values assumed for various material parameters in the models, which as yet are unknown, as reliable experiments have not been carried out as yet for their determination.« less

Authors:
Publication Date:
Research Org.:
Pittsburgh Univ., PA (United States). Dept. of Mechanical Engineering
Sponsoring Org.:
USDOE, Washington, DC (United States)
OSTI Identifier:
205187
Report Number(s):
DOE/PC/90180-T15
ON: DE96007857
DOE Contract Number:  
AC22-91PC90180
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: [1995]
Country of Publication:
United States
Language:
English
Subject:
01 COAL, LIGNITE, AND PEAT; GRANULAR MATERIALS; SOLIDS FLOW; FLOW MODELS; PROGRESS REPORT; INCLINATION; KINETICS; NUMERICAL SOLUTION

Citation Formats

Rajagopal, K.R. A theoretical and numerical study of the flow of granular materials down an inclined plane. Final report. United States: N. p., 1995. Web. doi:10.2172/205187.
Rajagopal, K.R. A theoretical and numerical study of the flow of granular materials down an inclined plane. Final report. United States. doi:10.2172/205187.
Rajagopal, K.R. Sun . "A theoretical and numerical study of the flow of granular materials down an inclined plane. Final report". United States. doi:10.2172/205187. https://www.osti.gov/servlets/purl/205187.
@article{osti_205187,
title = {A theoretical and numerical study of the flow of granular materials down an inclined plane. Final report},
author = {Rajagopal, K.R.},
abstractNote = {The mechanics of the flowing granular materials such as coal, agricultural products, at deal of attention as it has fertilizers, dry chemicals, metal ores, etc. have received a great deal of attention as it has relevance to several important technological problems. Despite wide interest and more than five decades of experimental and theoretical investigations, most aspects of the behavior of flowing granular materials are still not well understood. So Experiments have to be devised which quantify and describe the non-linear behavior of the modular materials, and theories developed which can explain the experimentally observed facts. As many models have been suggested for describing the behavior of granular materials, from both continuum and kinetic theory viewpoints, we proposed to investigate the validity and usefulness of representative models from both the continuum and kinetic theory points of view, by determining the prediction of such a theory, in a representative flow, with respect to existence, non-existence, multiplicity and stability of solutions. The continuum model to be investigated is an outgrowth of a model due to Goodman and Cowin (1971, 1972) and the kinetic theory models being those due to Jenkins and Richman (1985) and Boyle and Massoudi (1989). In this report we present detailed results regarding the same. Interestingly, we find that the predictions of all the theories, in certain parameter space associated with these models, are qualitatively similar. This ofcourse depends on the values assumed for various material parameters in the models, which as yet are unknown, as reliable experiments have not been carried out as yet for their determination.},
doi = {10.2172/205187},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Dec 31 00:00:00 EST 1995},
month = {Sun Dec 31 00:00:00 EST 1995}
}

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