New two-fluid flow formalism: Separation of the flow according to velocities

Markku Rajamäki, Mika Saarinen

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)

Abstract

A new formalism of two-phase flow has been derived. In this formalism the distributions of the phases and their velocities art not treated as uniform in the cross-sectional areas occupied by the fluids, but transverse spatial dependencies are allowed. With suitable dependencies and without using nonphysical fittings, the equation system is well posed; in other words, the characteristic velocities are real.

The couplings of the unknown variables create obstacles to numerical solution, but they are easily overcome with a new shape-preserving method, PLIM.

The necessary constitutive laws, which appear as the source terms of the equations, have been obtained by considering the time-independent case. The approach is applied to one-dimensional situations in which the total volumetric flux changes rapidly.
Original languageEnglish
Pages (from-to)439-454
Number of pages16
JournalNumerical Heat Transfer, Part B: Fundamentals
Volume26
Issue number4
DOIs
Publication statusPublished - 1994
MoE publication typeA1 Journal article-refereed

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Flow separation
fluid flow
Fluid Flow
Flow of fluids
spatial dependencies
formalism
Shape Preserving
Constitutive Law
arts
two phase flow
Two-phase Flow
Source Terms
Two phase flow
preserving
Transverse
Numerical Solution
Fluxes
Fluid
Unknown
Fluids

Cite this

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title = "New two-fluid flow formalism: Separation of the flow according to velocities",
abstract = "A new formalism of two-phase flow has been derived. In this formalism the distributions of the phases and their velocities art not treated as uniform in the cross-sectional areas occupied by the fluids, but transverse spatial dependencies are allowed. With suitable dependencies and without using nonphysical fittings, the equation system is well posed; in other words, the characteristic velocities are real.The couplings of the unknown variables create obstacles to numerical solution, but they are easily overcome with a new shape-preserving method, PLIM.The necessary constitutive laws, which appear as the source terms of the equations, have been obtained by considering the time-independent case. The approach is applied to one-dimensional situations in which the total volumetric flux changes rapidly.",
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New two-fluid flow formalism : Separation of the flow according to velocities. / Rajamäki, Markku; Saarinen, Mika.

In: Numerical Heat Transfer, Part B: Fundamentals, Vol. 26, No. 4, 1994, p. 439-454.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - New two-fluid flow formalism

T2 - Separation of the flow according to velocities

AU - Rajamäki, Markku

AU - Saarinen, Mika

N1 - Project code: ENE0405, ENE4408

PY - 1994

Y1 - 1994

N2 - A new formalism of two-phase flow has been derived. In this formalism the distributions of the phases and their velocities art not treated as uniform in the cross-sectional areas occupied by the fluids, but transverse spatial dependencies are allowed. With suitable dependencies and without using nonphysical fittings, the equation system is well posed; in other words, the characteristic velocities are real.The couplings of the unknown variables create obstacles to numerical solution, but they are easily overcome with a new shape-preserving method, PLIM.The necessary constitutive laws, which appear as the source terms of the equations, have been obtained by considering the time-independent case. The approach is applied to one-dimensional situations in which the total volumetric flux changes rapidly.

AB - A new formalism of two-phase flow has been derived. In this formalism the distributions of the phases and their velocities art not treated as uniform in the cross-sectional areas occupied by the fluids, but transverse spatial dependencies are allowed. With suitable dependencies and without using nonphysical fittings, the equation system is well posed; in other words, the characteristic velocities are real.The couplings of the unknown variables create obstacles to numerical solution, but they are easily overcome with a new shape-preserving method, PLIM.The necessary constitutive laws, which appear as the source terms of the equations, have been obtained by considering the time-independent case. The approach is applied to one-dimensional situations in which the total volumetric flux changes rapidly.

U2 - 10.1080/10407799408914939

DO - 10.1080/10407799408914939

M3 - Article

VL - 26

SP - 439

EP - 454

JO - Numerical Heat Transfer, Part B: Fundamentals

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