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

Andrea Prosperetti; M. Tanksley; M. Marchioro

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

Andrea Prosperetti, M. Tanksley, M. Marchioro

Physics of Fluids

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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 language	English
Title of host publication	Proceedings of the 17th Symposium on Energy Engineering Sciences
Subtitle of host publication	May 13-14, 1999, Argonne National Laboratory, Argonne, Illinois
Place of Publication	Argonne, IL
Publisher	Argonne National Laboratory
Pages	199-206
Publication status	Published - 1999
Event	17th Symposium on Energy Engineering Sciences 1999 - Argonne National Laboratory, Lemont, United States Duration: 13 May 1999 → 14 May 1999 Conference number: 17

Conference

Conference	17th Symposium on Energy Engineering Sciences 1999
Country/Territory	United States
City	Lemont
Period	13/05/99 → 14/05/99

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Prosperetti1999closureFinal published version, 574 KB

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Closure of disperse-flow averaged equations models by direct numerical simulation
Prosperetti, A. (Keynote speaker)
13 May 1999
Activity: Talk or presentation › Oral presentation

1 Conference contribution

Closure of disperse-flow averaged equations models by direct numerical simulation
Prosperetti, A., 1999, Proceedings of the 30th Fluid Dynamics Conference: 28 June 1999 - 1 July 1999, Norfolk, VA, U.S.A. Reston, VA: AIAA Aerospace Sciences, 3689
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Cite this

@inproceedings{ccc44d35fef14a69a994ccbf9ce82262,

title = "Closure of disperse-flow averaged equations models by direct numerical simulation",

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 transformationpc + 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.",

author = "Andrea Prosperetti and M. Tanksley and M. Marchioro",

year = "1999",

language = "English",

pages = "199--206",

booktitle = "Proceedings of the 17th Symposium on Energy Engineering Sciences",

publisher = "Argonne National Laboratory",

note = "17th Symposium on Energy Engineering Sciences 1999 ; Conference date: 13-05-1999 Through 14-05-1999",

}

Prosperetti, A, Tanksley, M & Marchioro, M 1999, Closure of disperse-flow averaged equations models by direct numerical simulation. in Proceedings of the 17th Symposium on Energy Engineering Sciences: May 13-14, 1999, Argonne National Laboratory, Argonne, Illinois. Argonne National Laboratory, Argonne, IL, pp. 199-206, 17th Symposium on Energy Engineering Sciences 1999, Lemont, Illinois, United States, 13/05/99.

Closure of disperse-flow averaged equations models by direct numerical simulation. / Prosperetti, Andrea; Tanksley, M.; Marchioro, M.
Proceedings of the 17th Symposium on Energy Engineering Sciences: May 13-14, 1999, Argonne National Laboratory, Argonne, Illinois. Argonne, IL: Argonne National Laboratory, 1999. p. 199-206.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Closure of disperse-flow averaged equations models by direct numerical simulation

AU - Prosperetti, Andrea

AU - Tanksley, M.

AU - Marchioro, M.

N1 - Conference code: 17

PY - 1999

Y1 - 1999

N2 - 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 transformationpc + 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.

AB - 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 transformationpc + 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.

M3 - Conference contribution

SP - 199

EP - 206

BT - Proceedings of the 17th Symposium on Energy Engineering Sciences

PB - Argonne National Laboratory

CY - Argonne, IL

T2 - 17th Symposium on Energy Engineering Sciences 1999

Y2 - 13 May 1999 through 14 May 1999

ER -

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

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