Conduction and dissipation in the shearing flow of granular materials modeled as non-Newtonian fluids

Journal Article · Fri Jun 15 04:00:00 EDT 2007 · Powder Technology

DOI:https://doi.org/10.1016/j.powtec.2007.01.031· OSTI ID:915543

Massoudi, M C; Tran, P X

After providing a brief review of the constitutive modeling of the stress tensor for granular materials using non-Newtonian fluid models, we study the flow between two horizontal flat plates. It is assumed that the granular media behaves as a non-Newtonian fluid (of the Reiner–Rivlin type); we use the constitutive relation derived by Rajagopal and Massoudi [Rajagopal, K. R. and M. Massoudi, “A Method for measuring material moduli of granular materials: flow in an orthogonal rheometer,” Topical Report, DOE/PETC/TR-90/3, 1990] which can predict the normal stress differences. The lower plate is fixed and heated, and the upper plate (which is at a lower temperature than the lower plate) is set into motion with a constant velocity. The steady fully developed flow and the heat transfer equations are made dimensionless and are solved numerically; the effects of different dimensionless numbers and viscous dissipation are discussed.

• 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: 915543
• Report Number(s): DOE/NETL-IR-2007-158
• Journal Information: Powder Technology, Journal Name: Powder Technology Journal Issue: 3 Vol. 175; ISSN 0032-5910
• Publisher: Elsevier B.V.
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
Conduction heat transfer
Continuum mechanics
DIMENSIONLESS NUMBERS
Dissipation
FLOW MODELS
GRANULAR MATERIALS
Granular materials
HEAT TRANSFER
NUMERICAL SOLUTION
Non-Newtonian fluids
SOLIDS FLOW
Shear flow