In this study, solidification process inside a water filled rectangular cavity is numerically investigated. The mathematical model is validated by comparing the current numerical predictions with the available analytical, numerical, and experimental results for three different test cases: one-dimensional conduction dominated solidification, natural convection in rectangular cavity, and natural convection dominated solidification in rectangular cavity. For all three cases, some good agreements are achieved in terms of isotherms, interface positions, and streamlines. After validation, time-wise ice formations are represented, and comparisons are made between bare and finned wall cases. In addition to these, further analyses are carried out by neglecting the buoyancy forces to introduce the differences between natural convection dominated and conduction dominated models. The results emphasize that natural convection has a critical effect in actual phase change processes.
Issue Section:
Melting and Solidification
Keywords:
confined flow,
heat conduction,
ice,
natural convection,
solidification,
water,
phase change,
solidification,
natural convection,
density inversion,
numerical analysis
Topics:
Cavities,
Density,
Ice,
Natural convection,
Solidification,
Temperature,
Water,
Heat conduction,
Buoyancy,
Geometry
References
1.
Dincer
, I.
, and Rosen
, M. A.
, 2002, Thermal Energy Storage: Systems and Applications
, John Wiley & Sons
, London
.2.
Zalba
, B.
, Marin
, J. M.
, Cabeza
, L. F.
, and Mehling
, H.
, 2003, “Review on Thermal Energy Storage With Phase Change: Materials, Heat Transfer Analysis and Applications
,” Appl. Therm. Eng.
, 23
, pp. 251
–283
.3.
Rieger
, H.
, Projahn
, U.
, and Beer
, H.
, 1982, “Analysis of the Heat Transport Mechanisms During Melting Around a Horizontal Circular Cylinder
,” Int. J. Heat Mass Transfer
, 25
, pp. 137
–147
.4.
Ho
, C. J.
, and Chen
, S.
, 1986, “Numerical Simulation of Melting of Ice Around a Horizontal Cylinder
,” Int. J. Heat Mass Transfer
, 29
, pp. 1359
–1369
.5.
Erek
, A.
, 1999, “Phase Change Around Finned Horizontal Cylinder: A Conjugate Problem,” Ph.D. thesis, Graduate School of Natural and Applied Sciences of Dokuz Eylul University, Izmir, Turkey.6.
Erek
, A.
, Ilken
, Z.
, and Acar
, M. A.
, 2005, “Experimental and Numerical Investigation of Thermal Energy Storage With a Finned Tube
,” Int. J. Energy Res.
, 29
, pp. 283
–301
.7.
Ermis
, K.
, Erek
, A.
, and Dincer
, I.
, 2007, “Heat Transfer Analysis of Phase Change Process in a Finned–Tube Thermal Energy Storage System Using Artificial Neural Network
,” Int. J. Heat Mass Transfer
, 50
, pp. 3163
–3175
.8.
Tan
, F. L.
, Hosseinizadeh
, S. F.
, Khodadadi
, J. M.
, and Fan
, L. W.
, 2009, “Experimental and Computational Study of Constrained Melting of Phase Change Materials (PCM) Inside a Spherical Capsule
,” Int. J. Heat Mass Transfer
, 52
, pp. 3464
–3472
.9.
Gong
, Z. X.
, and Mujumdar
, A. S.
, 1998, “Flow and Heat Transfer in Convection–Dominated Melting in a Rectangular Cavity Heated From Below
,” Int. J. Heat Mass Transfer
, 41
, pp. 2573
–2580
.10.
Shyy
, W.
, and Chen
, M. H.
, 1990, “Steady-State Natural Convection With Phase Change
,” Int. J. Heat Mass Transfer
, 33
, pp. 2545
–2563
.11.
Seybert
, C. D.
, and Evans
, J. W.
, 2005, “PIV Measurements of Velocity of Water in the Presence of Ice and Comparison With Calculated Values
,” Int. J. Heat Mass Transfer
, 48
, pp. 67
–73
.12.
Sugawara
, M.
, and Beer
, H.
, 2009, “Numerical Analysis for Freezing/Melting Around Vertically Arranged Four Cylinders
,” Heat Mass Transfer
, 45
, pp. 1223
–1231
.13.
Pinelli
, M.
, and Piva
, S.
, 2003, “Solid/Liquid Phase Change in Presence of Natural Convection: A Thermal Energy Storage Case Study
,” ASME J. Energy Resour. Technol.
, 125
, pp. 190
–198
.14.
Sasaguchi
, K.
, Kusano
, K.
, and Viskanta
, R.
, 1997, “A Numerical Analysis of Solid−Liquid Phase Change Heat Transfer Around Single and Two Horizontal, Vertically Spaced Cylinders in a Rectangular Cavity
,” Int. J. Heat Mass Transfer
, 40
, pp. 1343
–1354
.15.
Shih
, Y. C.
, and Chou
, H. L.
, 2005, “Numerical Study of Solidification Around Staggered Cylinders in a Fixed Space
,” Numer. Heat Transfer, Part A
, 48
, pp. 239
–260
.16.
Braga
, S. L.
, and Viskanta
, R.
, 1992, “Transient Natural Convection of Water Near its Density Extremum in a Rectangular Cavity
,” Int. J. Heat Mass Transfer
, 35
, pp. 861
–875
.17.
McDonough
, M. W.
, and Faghri
, A.
, 1994, “Experimental and Numerical Analyses of the Natural Convection of Water Through its Density Maximum in a Rectangular Enclosure
,” Int. J. Heat Mass Transfer
, 37
, pp. 783
–801
.18.
Lin
, D. S.
, and Nansteel
, M. W.
, 1987, “Natural Convection Heat Transfer in a Square Enclosure Containing Water Near its Density Maximum
,” Int. J. Heat Mass Transfer
, 30
, pp. 2319
–2329
.19.
Tong
, W.
, and Koster
, J. N.
, 1994, “Density Inversion Effect on Transient Natural Convection in a Rectangular Enclosure
,” Int. J. Heat Mass Transfer
, 37
, pp. 927
–938
.20.
Kwak
, H. S.
, Kuwuhara
, K.
, and Hyun
, J.
, 1998, “Convective Cool-Down of a Contained Fluid Through its Maximum Density Temperature
,” Int. J. Heat Mass Transfer
, 41
, pp. 323
–333
.21.
Braga
, S. L.
, and Viskanta
, R.
, 1992, “Effect of Density Extremum on the Solidification of Water on a Vertical Wall of a Rectangular Cavity
,” Experimental Thermal Fluid Sci.
, 5
, pp. 703
–713
.22.
Scanlon
, T. J.
, and Stickland
, M. T.
, 2004, “A Numerical Analysis of Buoyancy-Driven Melting and Freezing
,” Int. J. Heat Mass Transfer
, 47
, pp. 429
–436
.23.
Cao
, Y.
, and Faghri
, A.
, 1990, “A Numerical Analysis of Phase Change Problems Including Natural Convection
,” ASME J. Heat Transfer
, 112
, pp. 812
–816
.24.
fluent Inc., 2006 fluent version 6.3, User’s Guide, www.fluent.com.
25.
Wang
, S.
, Faghri
, A.
, and Bergman
, T. L.
, 2010, “A Comprehensive Numerical Model for Melting With Natural Convection
,” Int. J. Heat Mass Transfer
, 53
, pp. 1986
–2000
.26.
Patankar
, S. V.
, 1980, Numerical Heat Transfer and Fluid Flow
, Hemisphere
, New York
.27.
Ozisik
, M. N.
, 1980, Heat Conduction
, John Wiley & Sons
, New York
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