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Computer Vision Analysis of a Melting Interface Problem with Natural Convection

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Visual Computing

Part of the book series: Augmented Vision and Reality ((Augment Vis Real,volume 4))

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Abstract

This study presents some Computer Vision techniques to analyze a phase change problem with natural convection. The analysis and interpretation of images are important to understand the phenomenon under study. Methods of image processing and analysis are used to validate the mathematical model and to automate the process of extracting information from the experimental model. The images produced by the experiment show the melting of a vertical ice layer into a heated rectangular cavity in the presence of natural convection and maximum density.

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Abbreviations

A:

Acrylic wall

C:

Copper wall

c p :

Specific heat

c*(z*,t*), c(z,t):

Dimensional and dimensionless positions of the interface

E:

Heat exchanger

Fo:

Fourier number

Grmod :

Modified Grashof number

H :

Height of the enclosure

I:

Insulation

k :

Thermal conductivity

L :

Liquid cavity maximum width

L F :

Latent heat

P * and P :

Dimensional and dimensionless pressures

Pr:

Prandtl number

\({{\partial c} \mathord{\left/ {\vphantom {{\partial c} {\partial \tau }}} \right. \kern-0pt} {\partial \tau }}\) :

Velocity of the interface in the \(\bar{n}\) direction

Ri :

Resistances

Ste:

Stefan number

t * and t :

Dimensional and dimensionless times

T av :

Average temperature

T Fus :

Fusion temperature of the material

T H and T 0 :

Temperatures of the hot and the cold walls

Ti :

Thermocouples

T M :

Temperature of the maximum density

\(\bar{V}\) :

Dimensionless velocity vector

W:

Removable window

y * and y :

Horizontal dimensional and dimensionless coordinates

z * and z :

Vertical dimensional and dimensionless coordinates

Z and Y :

Computational dimensionless coordinates

α :

Thermal diffusivity

\(\varDelta T = T_{H} - T_{\text{Fus}}\) :

Temperature difference

\(\varDelta T_{\hbox{max} }\) :

Maximum temperature interval considered

γ :

Phenomenological coefficient

\(\upsilon\) :

Kinematic viscosity

θ :

Dimensionless temperature

ρ M :

Maximum density

ρ ref :

Reference density

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Author information

Authors and Affiliations

  1. Mechanical Engineering Department, Federal Center of Technological Education Celso Suckow da Fonseca—CEFET/RJ, Rio de Janeiro, RJ, 20271-110, Brazil

    Gisele Maria R. Vieira

  2. Mechanical Engineering Department, Universidade Federal Fluminense—UFF, Niterói, RJ, 24210-240, Brazil

    Fabiana R. Leta

  3. National Institute of Metrology, Quality and Technology, Av. Nossa Senhora das Graças, 50-Xerém, Duque de Caxias, RJ, Brazil

    Pedro B. Costa

  4. Mechanical Engineering Department, Catholic University of Rio de Janeiro—PUC-RJ, Rio de Janeiro, RJ, 22453-900, Brazil

    Sergio L. Braga

  5. FAST—CNRS—Université Paris VI, Campus Universitaire, Bât.502, Orsay, 91405, France

    Dominique Gobin

Authors
  1. Gisele Maria R. Vieira
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  2. Fabiana R. Leta
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  3. Pedro B. Costa
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  4. Sergio L. Braga
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  5. Dominique Gobin
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Corresponding author

Correspondence to Gisele Maria R. Vieira .

Editor information

Editors and Affiliations

  1. Mechanical Engineering Department, Universidade Federal Fluminense, Niterói – Rio de Janeiro, Brazil

    Fabiana Rodrigues Leta

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Vieira, G.M.R., Leta, F.R., Costa, P.B., Braga, S.L., Gobin, D. (2014). Computer Vision Analysis of a Melting Interface Problem with Natural Convection. In: Rodrigues Leta, F. (eds) Visual Computing. Augmented Vision and Reality, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55131-4_12

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  • DOI: https://doi.org/10.1007/978-3-642-55131-4_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-55130-7

  • Online ISBN: 978-3-642-55131-4

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