Closure of disperse-flow averaged equations models by direct numerical simulation

Andrea Prosperetti, M. Tanksley, M. Marchioro

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Abstract

This paper presents a summary of some recent work on the systematic closure of disperse-flow averaged-equations 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 continuous-phase 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. It is also shown that the theological behavior of spatially non-uniform suspensions is described by a non-Newtonian constitutive equation.
Original languageEnglish
Title of host publicationProceedings of the 17th Symposium on Energy Engineering Sciences
Subtitle of host publicationMay 13-14, 1999, Argonne National Laboratory, Argonne, Illinois
Pages199-206
Publication statusPublished - 1999
Event17th Symposium on Energy Engineering Sciences 1999 - Argonne National Laboratory, Lemont, United States
Duration: 13 May 199914 May 1999
Conference number: 17

Conference

Conference17th Symposium on Energy Engineering Sciences 1999
CountryUnited States
CityLemont
Period13/05/9914/05/99

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