On the characteristics of the equations of motion for a bubbly flow and the related problem of critical flow

Andrea Prosperetti, L. van Wijngaarden

Research output: Contribution to journalArticleAcademic

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Abstract

For the study of transients in gas-liquid flows, the equations of the so-called separated flow model are inadequate, because they possess, in the general case where gas and liquid move at different velocities, complex characteristics. This paper is concerned with the equations of motion for bubbly flow. The equations are discussed with emphasis on the aspects of relative motion and the characteristics are calculated. It is found that all characteristics are real. The results are used to establish a relation between gas velocity, liquid velocity, void fraction and sound velocity at critical flow. This relation agrees very well with experimental data for these quantities as measured by Muir and Eichhorn in the throat of a converging-diverging nozzle.
Original languageUndefined
Pages (from-to)153-162
JournalJournal of engineering mathematics
Volume10
Issue number2
DOIs
Publication statusPublished - 1976

Keywords

  • IR-50379

Cite this

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title = "On the characteristics of the equations of motion for a bubbly flow and the related problem of critical flow",
abstract = "For the study of transients in gas-liquid flows, the equations of the so-called separated flow model are inadequate, because they possess, in the general case where gas and liquid move at different velocities, complex characteristics. This paper is concerned with the equations of motion for bubbly flow. The equations are discussed with emphasis on the aspects of relative motion and the characteristics are calculated. It is found that all characteristics are real. The results are used to establish a relation between gas velocity, liquid velocity, void fraction and sound velocity at critical flow. This relation agrees very well with experimental data for these quantities as measured by Muir and Eichhorn in the throat of a converging-diverging nozzle.",
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year = "1976",
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volume = "10",
pages = "153--162",
journal = "Journal of engineering mathematics",
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On the characteristics of the equations of motion for a bubbly flow and the related problem of critical flow. / Prosperetti, Andrea; van Wijngaarden, L.

In: Journal of engineering mathematics, Vol. 10, No. 2, 1976, p. 153-162.

Research output: Contribution to journalArticleAcademic

TY - JOUR

T1 - On the characteristics of the equations of motion for a bubbly flow and the related problem of critical flow

AU - Prosperetti, Andrea

AU - van Wijngaarden, L.

PY - 1976

Y1 - 1976

N2 - For the study of transients in gas-liquid flows, the equations of the so-called separated flow model are inadequate, because they possess, in the general case where gas and liquid move at different velocities, complex characteristics. This paper is concerned with the equations of motion for bubbly flow. The equations are discussed with emphasis on the aspects of relative motion and the characteristics are calculated. It is found that all characteristics are real. The results are used to establish a relation between gas velocity, liquid velocity, void fraction and sound velocity at critical flow. This relation agrees very well with experimental data for these quantities as measured by Muir and Eichhorn in the throat of a converging-diverging nozzle.

AB - For the study of transients in gas-liquid flows, the equations of the so-called separated flow model are inadequate, because they possess, in the general case where gas and liquid move at different velocities, complex characteristics. This paper is concerned with the equations of motion for bubbly flow. The equations are discussed with emphasis on the aspects of relative motion and the characteristics are calculated. It is found that all characteristics are real. The results are used to establish a relation between gas velocity, liquid velocity, void fraction and sound velocity at critical flow. This relation agrees very well with experimental data for these quantities as measured by Muir and Eichhorn in the throat of a converging-diverging nozzle.

KW - IR-50379

U2 - 10.1007/BF01535658

DO - 10.1007/BF01535658

M3 - Article

VL - 10

SP - 153

EP - 162

JO - Journal of engineering mathematics

JF - Journal of engineering mathematics

SN - 0022-0833

IS - 2

ER -