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Abstract
This paper presents a summary of some recent work on the systematic closure of disperseflow averagedequations models on the basis of direct numerical simulations. Since the average pressure is found by solving the equations rather than prescribed as a closure relation, it is important first to identify the pressure part of the average stress. This objective is achieved by examining the transformation properties of the average stress under the gauge transformation
pc + pc +ψ, where PC is the continuousphase pressure and ~ the potential of the body forces. After this step, the stress is expressed in terms of computable quantities. A strategy to derive closure relations is then described. As an example, it is shown how the effective viscosity for anonuniform suspension can be obtained. This quantityu is found to be robust in the sense that it takes on the same values for the three specific flows considered. It is also shown that the theological behavior of spatially nonuniform suspensions is described by a nonNewtonian constitutive equation.
pc + pc +ψ, where PC is the continuousphase pressure and ~ the potential of the body forces. After this step, the stress is expressed in terms of computable quantities. A strategy to derive closure relations is then described. As an example, it is shown how the effective viscosity for anonuniform suspension can be obtained. This quantityu is found to be robust in the sense that it takes on the same values for the three specific flows considered. It is also shown that the theological behavior of spatially nonuniform suspensions is described by a nonNewtonian constitutive equation.
Original language  English 

Title of host publication  Proceedings of the 30th Fluid Dynamics Conference 
Subtitle of host publication  28 June 1999  1 July 1999, Norfolk, VA, U.S.A 
Place of Publication  Reston, VA 
Publisher  AIAA Aerospace Sciences 
DOIs  
Publication status  Published  1999 
Event  30th AIAA Fluid Dynamics Conference 1999  Norfolk, United States Duration: 28 Jun 1999 → 1 Jul 1999 Conference number: 30 
Conference
Conference  30th AIAA Fluid Dynamics Conference 1999 

Country/Territory  United States 
City  Norfolk 
Period  28/06/99 → 1/07/99 
Keywords
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Dive into the research topics of 'Closure of disperseflow averaged equations models by direct numerical simulation'. Together they form a unique fingerprint.Activities
 1 Oral presentation

Closure of disperseflow averaged equations models by direct numerical simulation
Prosperetti, A. (Keynote speaker)
13 May 1999Activity: Talk or presentation › Oral presentation
Research output
 1 Conference contribution

Closure of disperseflow averaged equations models by direct numerical simulation
Prosperetti, A., Tanksley, M. & Marchioro, M., 1999, Proceedings of the 17th Symposium on Energy Engineering Sciences: May 1314, 1999, Argonne National Laboratory, Argonne, Illinois. Argonne, IL: Argonne National Laboratory, p. 199206Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peerreview
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