Boundary conditions in mixture theory and in CFD applications of higher order models

Journal Article · Mon Jan 01 04:00:00 EST 2007 · Computers and Mathematics with Applications (Oxford)

DOI:https://doi.org/10.1016/j.camwa.2006.02.016· OSTI ID:912987

Massoudi, M

We discuss the importance of and the need for (additional) boundary conditions in Mixture Theory (also known as the Theory of Interacting Continua). Specifically, we will give an overview of the model due to Rajagopal and Massoudi which is appropriate for the flow of a linearly viscous fluid infused with solid particles. The solid particles are modeled as granular materials. In this formulation the need for additional boundary condition arises due to higher gradients of density (or volume fraction). The challenging issue of how to ‘split’ the total stress or the total velocity at the boundary is also 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: 912987
• Report Number(s): DOE/NETL-IR-2007-079
• Journal Information: Computers and Mathematics with Applications (Oxford), Journal Name: Computers and Mathematics with Applications (Oxford) Journal Issue: 2 Vol. 53; ISSN 0898-1221
• Publisher: Elsevier B.V.
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
BOUNDARY CONDITIONS
Boundary conditions
Continuum mechanics
GRANULAR MATERIALS
Granular materials
MIXTURES
Mixture theory
VELOCITY