Model of the evaporating meniscus in a capillary tube

Swanson, L W; Herdt, G C

doi:10.1115/1.2911292

Title: Model of the evaporating meniscus in a capillary tube

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Abstract

A mathematical model describing the evaporating meniscus in a capillary tube has been formulated incorporating the full three-dimensional Young-Laplace equation, Marangoni convection, London-van der Waals dispersion forces, and nonequilibrium interface conditions. The results showed that varying the dimensionless superheat had no apparent effect on the meniscus profile. However, varying the dispersion number produced a noticeable change in the meniscus profile, but only at the microscopic level near the tube wall. No change in the apparent contact angle was observed with changes in the dimensionless superheat or dispersion number. In all cases, the dimensionless mean curvature was asymptotic to a value equal to that for a hemispherical meniscus. The local interfacial mass flux and total mass transfer rate increased dramatically as the dispersion number was increased, suggesting that surface coatings can play an important role in improving or degrading capillary pumping. The model also predicted that the local capillary pressure remains constant and equal to 2{sigma}/r{sub c} regardless of changes in the dimensionless superheat and dispersion number. It should be noted that the results in this study are theoretical in nature and require experimental verification.

Authors:

Swanson, L W; Herdt, G C ^[1]

Univ. of Denver, CO (United States)

Publication Date:: Fri May 01 00:00:00 EDT 1992

OSTI Identifier:: 7162736

Resource Type:: Journal Article

Journal Name:: Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States)

Additional Journal Information:: Journal Volume: 114:2; Journal ID: ISSN 0022-1481

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING; HEAT PIPES; EVAPORATION MODEL; AUGMENTATION; COATINGS; CONVECTION; LIQUIDS; MASS TRANSFER; TUBES; ENERGY TRANSFER; FLUIDS; HEAT TRANSFER; MATHEMATICAL MODELS; NUCLEAR MODELS; 420400* - Engineering- Heat Transfer & Fluid Flow

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                    Swanson, L W, and Herdt, G C. Model of the evaporating meniscus in a capillary tube.  United States: N. p., 1992. 
        Web.  doi:10.1115/1.2911292.

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                    Swanson, L W, & Herdt, G C. Model of the evaporating meniscus in a capillary tube.  United States.  https://doi.org/10.1115/1.2911292

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                    Swanson, L W, and Herdt, G C. 1992.  
        "Model of the evaporating meniscus in a capillary tube".  United States.  https://doi.org/10.1115/1.2911292.

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@article{osti_7162736,

  title        = {Model of the evaporating meniscus in a capillary tube},

  author       = {Swanson, L W and Herdt, G C},

  abstractNote = {A mathematical model describing the evaporating meniscus in a capillary tube has been formulated incorporating the full three-dimensional Young-Laplace equation, Marangoni convection, London-van der Waals dispersion forces, and nonequilibrium interface conditions. The results showed that varying the dimensionless superheat had no apparent effect on the meniscus profile. However, varying the dispersion number produced a noticeable change in the meniscus profile, but only at the microscopic level near the tube wall. No change in the apparent contact angle was observed with changes in the dimensionless superheat or dispersion number. In all cases, the dimensionless mean curvature was asymptotic to a value equal to that for a hemispherical meniscus. The local interfacial mass flux and total mass transfer rate increased dramatically as the dispersion number was increased, suggesting that surface coatings can play an important role in improving or degrading capillary pumping. The model also predicted that the local capillary pressure remains constant and equal to 2{sigma}/r{sub c} regardless of changes in the dimensionless superheat and dispersion number. It should be noted that the results in this study are theoretical in nature and require experimental verification.},

  doi          = {10.1115/1.2911292},

  url          = {https://www.osti.gov/biblio/7162736},
  journal      = {Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States)},

  issn         = {0022-1481},

  number       = ,

  volume       = 114:2,

  place        = {United States},

  year         = {Fri May 01 00:00:00 EDT 1992},

  month        = {Fri May 01 00:00:00 EDT 1992}

}

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