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Numerical investigation of effect of the position of the cylinder on solidification in a rectangular cavity

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Abstract

In the present study, it is aimed to calculate the effect of ice formation on different cylinder geometries placed in a rectangular cavity filled with water. For this aim Fluent package program was used to solve the flow domain numerically and temperature distribution and ice formation depending on time were illustrated. Water temperature in the cavity and cylinder surface temperature were assumed as 4, 8 and −10 °C respectively and firstly temperature distribution, velocity vector, liquid fraction and ratio of Ai/Ac (formed ice area/cross sectional area of cylinder) were determined for cylinders with different placement in fixed volume.

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Abbreviations

Ac :

Cross-sectional area of cylinder (m2)

Ai :

Solidified areas (m2)

c:

Specific heat (J/kg K)

d:

Diameter of cylinder (m)

h:

Sensible enthalpy (J/kg)

k:

Thermal conductivity (W/m K)

K:

Permeability (m2)

Ko :

Empirical constant in Kozeny-Carman equation

L:

Latent heat (J/kg)

P:

Pressure (Pa)

T:

Time (s)

T:

Temperature (K)

u:

Velocity component in x direction (m/s)

V:

Velocity vector (m/s)

x, y:

Cartesian coordinates (m)

β:

Liquid volume fraction

μ:

Dynamic viscosity (Ns/m2)

ρ:

Density (kg/m3)

υ:

Velocity component in y direction (m/s)

C:

Cylinder

f:

Fusion state

l:

Liquid phase

ref:

Reference value

i:

Initial

s:

Solid phase

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Acknowledgments

The authors acknowledge the CUBAP (The Scientific Research Projects Council of Cumhuriyet University) for the financial support of the project M-491.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Cumhuriyet, 58140, Sivas, Turkey

    Ahmet Fertelli, Gökhan Günhan & Ertan Buyruk

Authors
  1. Ahmet Fertelli
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  2. Gökhan Günhan
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  3. Ertan Buyruk
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Corresponding author

Correspondence to Ahmet Fertelli.

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Fertelli, A., Günhan, G. & Buyruk, E. Numerical investigation of effect of the position of the cylinder on solidification in a rectangular cavity. Heat Mass Transfer 53, 687–704 (2017). https://doi.org/10.1007/s00231-016-1842-1

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  • DOI: https://doi.org/10.1007/s00231-016-1842-1

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