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

Markku Rajamäki; Mika Saarinen

doi:10.1080/10407799408914939

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

Markku Rajamäki
, Mika Saarinen

VTT Technical Research Centre of Finland

VTT (former employee or external)

Research output: Contribution to journal › Article › Scientific › peer-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 language	English
Pages (from-to)	439-454
Journal	Numerical Heat Transfer Part B: Fundamentals
Volume	26
Issue number	4
DOIs	https://doi.org/10.1080/10407799408914939
Publication status	Published - 1994
MoE publication type	A1 Journal article-refereed

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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.",

author = "Markku Rajam{\"a}ki and Mika Saarinen",

note = "Project code: ENE0405, ENE4408",

year = "1994",

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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

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EP - 454

JO - Numerical Heat Transfer Part B: Fundamentals

JF - Numerical Heat Transfer Part B: Fundamentals

IS - 4

ER -

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

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