This paper reports on a research program of modeling multi-phase granular flow. Both single-phase granular flow and two-phase liquid/granular flow in a pressure vessel were considered. For the latter case, detailed results based on a viscous/Mohr-Coulomb closure were compared to existing formulations. Idealized test cases indicated that the numerical procedure is sound. Subsequent simulations of two-phase flow using realistic geometries and boundary conditions showed that the pressure distribution in the solid phase is fundamentally different for the Mohr-Coulomb system than for the conventional system. The effect of the angle of internal friction, geometry, and other parameters is discussed. [S0094-9930(00)01204-X]
Issue Section:
Technical Papers
1.
Ha¨rko¨nen, E. J., 1984, “A Mathematical Model for Two-Phase Flow. Acta Polytechnica Scandinavica,” Mech. Eng. Ser., No. 88.
2.
Ha¨rko¨nen, E. J., 1987, “A Mathematical Model for Two-Phase Flow, in a Continuous Digester,” Tappi J., Dec., pp. 122–126.
3.
Scheidegger, A. E., 1974, The Physics of Flow Through Porous Media, 3rd Ed. University of Toronto Press, Toronto, ON, Canada.
4.
Michelsen
, F.
, and Foss
, B.
, 1996
, “A Comprehensive Mechanistic Model of a Continuous Kamyr Digester
,” Appl. Math. Model.
, 20
, pp. 523
–533
.5.
Saltin, J. F., 1992, “A Predictive Dynamic Model for Continuous Digesters,” Proc TAPPI Pulping Conference, Boston, MA, pp. 261–267.
6.
Brown, R. L., and Richards, J. C., 1970, Principles of Powder Mechanics, Pergamon, Oxford, UK.
7.
Drucker
, D. C.
, and Prager
, W.
, 1952
, “Soil Mechanics and Plastic Analysis of Limit Design
,” Quarterly Appl. Math.
, 10
, pp. 157
–165
.8.
Scott, R. F., 1963, Principles of Soil Mechanics, Addison-Wesley, Reading, PA.
9.
Savage
, S. B.
, 1984
, “The Mechanics of Granular Flow
,” Adv. Appl. Mech.
, 24
, pp. 289
–366
.10.
Savage
, S. B.
, 1998
, “Analyses of Slow High-concentration flows of Granular Materials
,” J. Fluid Mech.
, 377
, pp. 1
–26
.11.
Patankar, S. V., 1980, Numerical Heat Transfer, Hemisphere, New York, NY.
12.
Spalding, D. B., 1980, “Numerical Computation of Multiphase Fluid Flow and Heat Transfer,” Recent Advances in Numerical Methods in Fluids, ed., C. Taylor, Vol. 8, pp. 139–167.
13.
Shamlou, P. A., 1988, Handling of Bulk Solids, Theory and Practice, Butterworth & Co., London, UK.
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