A two-phase mixture model of liquid-gas flow and heat transfer in capillary porous media-II. Application to pressure-driven boiling flow adjacent to a vertical heated plate

Wang Chao-Yang, C. Beckermann

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

The two-phase mixture model developed in Part I is applied to investigate a pressure-driven two-phase boiling flow along a heated surface embedded in a porous medium. The general governing equations in Part I for the transport of mass, momentum and liquid (constituent) mass for the two-phase mixture are simplified for the above system. The present formulation, owing to its strong analogy to the classical description of multicomponent convective flows, suggests that a thin capillary layer exists over the solid surface at high Peclet numbers and that the two-phase flow is confined only to this boundary layer. Using approximations analogous to the classical boundary layer theory, a set of boundary layer equations for two-phase flow is derived and solved by a similarity transformation. The resulting ordinary differential equations are numerically integrated using a combination of the Gear stiff method and a shooting procedure. Numerical results for the saturation field and the flow fields of the two-phase mixture and the individual phases are presented and discussed.

Original languageEnglish (US)
Pages (from-to)2759-2768
Number of pages10
JournalInternational Journal of Heat and Mass Transfer
Volume36
Issue number11
DOIs
StatePublished - Jul 1993

Fingerprint

boiling
Boiling liquids
gas flow
Flow of gases
Porous materials
Boundary layers
heat transfer
two phase flow
Heat transfer
Two phase flow
boundary layers
Liquids
liquids
boundary layer equations
Peclet number
convective flow
Ordinary differential equations
solid surfaces
Gears
Flow fields

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

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abstract = "The two-phase mixture model developed in Part I is applied to investigate a pressure-driven two-phase boiling flow along a heated surface embedded in a porous medium. The general governing equations in Part I for the transport of mass, momentum and liquid (constituent) mass for the two-phase mixture are simplified for the above system. The present formulation, owing to its strong analogy to the classical description of multicomponent convective flows, suggests that a thin capillary layer exists over the solid surface at high Peclet numbers and that the two-phase flow is confined only to this boundary layer. Using approximations analogous to the classical boundary layer theory, a set of boundary layer equations for two-phase flow is derived and solved by a similarity transformation. The resulting ordinary differential equations are numerically integrated using a combination of the Gear stiff method and a shooting procedure. Numerical results for the saturation field and the flow fields of the two-phase mixture and the individual phases are presented and discussed.",
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AU - Beckermann, C.

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N2 - The two-phase mixture model developed in Part I is applied to investigate a pressure-driven two-phase boiling flow along a heated surface embedded in a porous medium. The general governing equations in Part I for the transport of mass, momentum and liquid (constituent) mass for the two-phase mixture are simplified for the above system. The present formulation, owing to its strong analogy to the classical description of multicomponent convective flows, suggests that a thin capillary layer exists over the solid surface at high Peclet numbers and that the two-phase flow is confined only to this boundary layer. Using approximations analogous to the classical boundary layer theory, a set of boundary layer equations for two-phase flow is derived and solved by a similarity transformation. The resulting ordinary differential equations are numerically integrated using a combination of the Gear stiff method and a shooting procedure. Numerical results for the saturation field and the flow fields of the two-phase mixture and the individual phases are presented and discussed.

AB - The two-phase mixture model developed in Part I is applied to investigate a pressure-driven two-phase boiling flow along a heated surface embedded in a porous medium. The general governing equations in Part I for the transport of mass, momentum and liquid (constituent) mass for the two-phase mixture are simplified for the above system. The present formulation, owing to its strong analogy to the classical description of multicomponent convective flows, suggests that a thin capillary layer exists over the solid surface at high Peclet numbers and that the two-phase flow is confined only to this boundary layer. Using approximations analogous to the classical boundary layer theory, a set of boundary layer equations for two-phase flow is derived and solved by a similarity transformation. The resulting ordinary differential equations are numerically integrated using a combination of the Gear stiff method and a shooting procedure. Numerical results for the saturation field and the flow fields of the two-phase mixture and the individual phases are presented and discussed.

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