Modeling Granular Materials as Compressible Non-Linear Fluids: Heat Transfer Boundary Value Problems

Massoudi, M C; Tran, P X

doi:10.1155/MPE/2006/56046

Modeling Granular Materials as Compressible Non-Linear Fluids: Heat Transfer Boundary Value Problems

Journal Article · Sun Jan 01 04:00:00 EST 2006 · Mathematical Problems in Engineering

DOI:https://doi.org/10.1155/MPE/2006/56046· OSTI ID:912705

Massoudi, M C; Tran, P X

We discuss three boundary value problems in the flow and heat transfer analysis in flowing granular materials: (i) the flow down an inclined plane with radiation effects at the free surface; (ii) the natural convection flow between two heated vertical walls; (iii) the shearing motion between two horizontal flat plates with heat conduction. It is assumed that the material behaves like a continuum, similar to a compressible nonlinear fluid where the effects of density gradients are incorporated in the stress tensor. For a fully developed flow the equations are simplified to a system of three nonlinear ordinary differential equations. The equations are made dimensionless and a parametric study is performed where the effects of various dimensionless numbers representing the effects of heat conduction, viscous dissipation, radiation, and so forth are presented.

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Research Organization:: National Energy Technology Laboratory (NETL), Pittsburgh, PA, Morgantown, WV, and Albany, OR (United States)

Sponsoring Organization:: USDOE - Office of Fossil Energy (FE)

OSTI ID:: 912705

Report Number(s):: DOE/NETL-IR-2007-031

Journal Information:: Mathematical Problems in Engineering, Journal Name: Mathematical Problems in Engineering Journal Issue: aritcle ID 56046 Vol. 2006

Publisher:: Hindawi Publishing Corporation

Country of Publication:: United States

Language:: English

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99 GENERAL AND MISCELLANEOUS
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Modeling Granular Materials as Compressible Non-Linear Fluids: Heat Transfer Boundary Value Problems

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