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

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

Journal Article · Sun Jan 01 00:00:00 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)

DOE Contract Number:: None cited

OSTI ID:: 912705

Report Number(s):: DOE/NETL-IR-2007-031; TRN: US200801%%981

Journal Information:: Mathematical Problems in Engineering, Vol. 2006, Issue aritcle ID 56046; Related Information: This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Publisher:: Hindawi Publishing Corporation

Country of Publication:: United States

Language:: English

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

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