The objective of this work is to model the heat transfer coefficient between an immersed surface and fixed and bubbling fluidized beds of granular phase change material (PCM). The model consists of a two-region model with two different voidages in which steady and transient conduction problems are solved for the fixed and fluidized bed cases, respectively. The model is validated with experimental data obtained under fixed and fluidized conditions for sand, a common material used in fixed and fluidized beds for sensible heat storage, and for a granular PCM with a phase change temperature of approximately 50 °C. The superficial gas velocity is varied to quantify its influence on the convective heat transfer coefficient for both the materials. The model proposed for the PCM properly predicts the experimental results, except for high flow rates, which cause the contact times between the surface and particles to be very small and lead the model to overpredict the results.
Issue Section:
Heat and Mass Transfer
References
1.
Botterill
, J.
, and Desai
, M.
, 1972
, “Limiting Factor in Gas-Fluidized Bed Heat Transfer
,” Powder Technol.
, 6
(4
), pp. 231
–238
.2.
Chen
, J.
, 1976
, “Heat Transfer to Tubes in Fluidized Bed
,” National Heat Transfer Conference
, Paper No. 76-HT-75.3.
Mickley
, H.
, and Trilling
, C.
, 1949
, “Heat Transfer Characteristics of Fluidized Beds
,” Ind. Eng. Chem.
, 41
(6
), pp. 1135
–1147
.4.
Kubie
, J.
, and Broughton
, J.
, 1975
, “A Model of Heat Transfer in Gas Fluidized Beds
,” Int. J. Heat Mass Transfer
, 18
(2
), pp. 289
–299
.5.
Lu
, J.
, Flamant
, G.
, and Snabre
, P.
, 1993
, “Towards a General Model for Vertical Wall to Gas-Solid Fluidized Beds Heat Transfer. I. Particle Convection and Gas Convection
,” Chem. Eng. Sci.
, 48
(13
), pp. 2479
–2492
.6.
Zhang
, R. H.
, Yang
, J. L.
, and Wu
, Y.
, 2013
, “Theoretical and Experimental Analysis of Bed-to-Wall Heat Transfer in Heat Recovery Processing
,” Powder Technol.
, 249
, pp. 186
–195
.7.
Yagi
, S.
, and Kunii
, D.
, 1960
, “System on Heat Transfer Near Wall Surface in Packed Beds
,” AIChE J.
, 6
(1
), pp. 97
–104
.8.
Kunii
, D.
, and Suzuki
, M.
, 1966
, “Heat Transfer Between Wall Surface and Packed Solids
,” International Heat Transfer Conference IV
, pp. 344
–352
.9.
Bolea
, I.
, Romeo
, L. M.
, and Pallarés
, D.
, 2014
, “Heat Transfer in the External Heat Exchanger of Oxy-Fuel Fluidized Bed Boilers
,” Appl. Therm. Eng.
, 66
, pp. 75
–83
.10.
Abdelmotalib
, H. M.
, Youssef
, M. A.
, Hassan
, A. A.
, Youn
, S. B.
, and Im
, I.-T.
, 2015
, “Heat Transfer Process in Gas-Solid Fluidized Bed Combustors: A Review
,” Int. J. Heat Mass Tranfer
, 89
, pp. 567
–575
.11.
Chen
, J.
, 2003
, “Heat Transfer
,” Handbook of Fluidization and Fluid-Particle Systems
, Taylor & Francis Group LLC
, New York.12.
Mickley
, H.
, and Fairbanks
, D.
, 1955
, “Mechanism of Heat Transfer to Fluidized Beds
,” AIChE J.
, 1
(3
), pp. 374
–384
.13.
Baskakov
, A.
, 1964
, “The Mechanism of Heat Transfer Between a Fluidized Bed and a Surface
,” Int. J. Chem. Eng.
, 4
, pp. 320
–324
.14.
Patel
, R.
, 1967
, “Surface-Renewal Model for Heat Transfer Between Wall and Fluidized Beds
,” Research and Development Report, Report No. ANL-7353 110.15.
Flamant
, G.
, and Menigault
, 1987
, “Combined Wall-to-fluidized bed heat transfer. Bubble and Emulsion Contributions at High Temperature
,” Int. J. Heat Mass Transfer
, 30
(9
), pp. 1803
–1812
.16.
Penny
, C.
, Naylor
, D.
, and Friedman
, J.
, 2010
, “Heat Transfer to Small Cylinders Immersed in a Packed Bed
,” Int. J. Heat Mass Tranfer
, 53
, pp. 5183
–5189
.17.
Penny
, C.
, Rosero
, D.
, Naylor
, D.
, and Friedman
, J.
, 2011
, “Heat Transfer to Flat Strips Immersed in a Fluidized Bed
,” ASME J. Heat Transfer
, 133
(7
), p. 71703
.18.
Wood
, R.
, Staub
, F.
, Canada
, G.
, and McLaughlin
, M.
, 1978
, “Two-Phase Flow and Heat Transfer
,” Technical Report No. 525-1, General Electric, Schenectady, NY.19.
Vreedenberg
, H.
, 1958
, “Heat Transfer Between a Fluidized Bed and a Horizontal Tube
,” Chem. Eng. Sci.
, 9
(1), pp. 52
–60
.20.
Chandran
, R.
, Chen
, J.
, and Staub
, F.
, 1980
, “Local Heat Transfer Coefficient Around Horizontal Tubes in Fluidized Beds
,” AIChE J.
, 102
, pp. 152
–157
.21.
Doherty
, J.
, Verma
, R.
, Shrivastava
, S.
, and Saxena
, S.
, 1986
, “Heat Transfer From Immersed Horizontal Tubes of Different Diameter in a Gas Fluidized Bed
,” Energy
, 11
(8
), pp. 773
–783
.22.
Grewal
, N.
, and Saxena
, S.
, 1979
, “Effect of Surface Roughness on Heat Transfer From Horizontal Immersed Tubes in Fluidized Bed
,” ASME J. Heat Transfer
, 101
(3
), pp. 397
–403
.23.
Lese
, H.
, and Kermode
, R.
, 1972
, “Heat Transfer From a Horizontal Tube to a Fluidized Bed in the Presence of Unheated Tubes
,” Can. J. Chem. Eng.
, 50
(1
), pp. 44
–48
.24.
Bartel
, W.
, and Genetti
, W.
, 1973
, “Heat Transfer From a Horizontal Bundle of Bare and Finned Tubes in an Air Fluidized Bed
,” Chem. Eng. Prog. Symp. Ser.
, 69
, pp. 85
–93
.25.
Priebe
, S.
, and Genetti
, W.
, 1977
, “Heat Transfer From a Horizontal Bundle of Extended Surface Tubes to an Air Fluidized Bed
,” Chem. Eng. Prog. Symp. Ser.
, 73
, pp. 38
–43
.26.
Masoumifard
, N.
, Mostoufi
, N.
, Hamidi
, A.-A.
, and Sotudeh-Gharebagh
, R.
, 2008
, “Investigation of Heat Transfer Between a Horizontal Tube and Gas-Solid Fluidized Bed
,” Int. J. Heat Fluid Flow
, 29
(5
), pp. 1504
–1511
.27.
Natale
, F. D.
, Bareschino
, P.
, and Nigro
, R.
, 2010
, “Heat Transfer and Void Fraction Profiles Around a Horizontal Cylinder Immersed in a Bubbling Fluidised Bed
,” Int. J. Heat Mass
, 53
, pp. 3525
–3532
.28.
Natale
, F. D.
, Lancia
, A.
, and Nigro
, R.
, 2008
. “A Single Particle Model for Surface-to-Bed Heat Transfer in Fluidized Beds
,” Powder Technol.
, 187
(1
), pp. 68
–78
.29.
Grewal
, N.
, and Saxena
, S.
, 1980
, “Heat Transfer Between a Horizontal Tube and a Gas-Solid Fluidized Bed
,” Int. J. Heat Mass Transfer
, 23
(11
), pp. 1505
–1519
.30.
Grewal
, N.
, and Saxena
, S.
, 1977
, “Investigation of Heat Transfer From Immersed Tubes in a Fluidized Bed
,” Fourth National Heat Mass Transfer Conference
, pp. 53
–58
.31.
Grewal
, N.
, Saxena
, S.
, Dolidovich
, A.
, and Zabrodsky
, S.
, 1979
, “Effect of Distributor Design on Heat Transfer From an Immersed Horizontal Tube in a Fluidized Bed
,” Chem. Eng. J.
, 18
(2
), pp. 197
–201
.32.
Botterill
, J.
, 1975
, Fluid-Bed Heat Transfer
, Academic Press
, New York
.33.
Kim
, S.
, Ahn
, J.
, Kim
, S.
, and Lee
, D.
, 2003
, “Heat Transfer and Bubble Characteristics in a Fluidized Bed With Immersed Horizontal Tube Bundle
,” Int. J. Heat Mass Transfer
, 46
(3
), pp. 399
–409
.34.
Khan
, T.
, and Turton
, R.
, 1992
, “The Measurements of Instantaneous Heat Transfer Coefficients Around the Circumference of a Tube Immersed in a High Temperature Fluidized Bed
,” Int. J. Heat Mass Transfer
, 35
(12
), pp. 3397
–3406
.35.
Karamavruc
, A.
, and Clark
, N.
, 1996
, “A Correction Factor for One-Dimensional Heat Transfer Coefficients Around a Horizontal Tube in a Fluidized Bed
,” Powder Technol.
, 86
(2
), pp. 209
–217
.36.
Li
, H.
, Qian
, R.
, Huang
, W.
, and Bi
, K.
, 1993
, “An Investigation on Instantaneous Local Heat Transfer Coefficients in High Temperature Fluidized Beds. I. Experimental Results
,” Int. J. Heat Mass Transfer
, 36
(18), pp. 4389
–4395
.37.
Friedman
, J.
, Koundakjian
, P.
, Naylor
, D.
, and Rosero
, D.
, 2006
, “Heat Transfer to Small Horizontal Cylinders Immersed in a Fluidized Bed
,” ASME J. Heat Transfer
, 128
(10
), pp. 984
–988
.38.
Rady
, M.
, 2009
, “Granular Phase Change Materials for Thermal Energy Storage: Experiments and Numerical Simulations
,” Appl. Therm. Eng.
, 29
, pp. 3149
–3159
.39.
Regin
, A.
, Solanki
, S.
, and Saini
, J.
, 2009
, “An Analysis of a Packed Bed Latent Heat Thermal Energy Storage System Using PCM Capsules: Numerical Investigation
,” Renewable Energy
, 34
(7
), pp. 1765
–1773
.40.
Nallusamy
, N.
, Sampath
, S.
, and Velarj
, R.
, 2006
, “Study on Performance of a Packed Bed Latent Heat Thermal Energy Storage Unit Integrated With Solar Water Heating System
,” J. Zhejiang Univ. Sci. A
, 8
, pp. 1422
–1430
.41.
Izquierdo-Barrientos
, M. A.
, Sobrino
, C.
, and Almendros-Ibáñez
, J. A.
, 2013
, “Thermal Energy Storage in a Fluidized Bed of PCM
,” Chem. Eng. J.
, 230
, pp. 573
–583
.42.
Trp
, A.
, 2005
, “An Experimental and Numerical Investigation of Heat Transfer During Technical Grade Paraffin Melting and Solidification in a Shell-and-Tube Latent Thermal Energy Storage Unit
,” Sol. Energy
, 79
(6
), pp. 648
–660
.43.
Ziegler
, E.
, Koppel
, L.
, and Brazelton
, W.
, 1964
, “Effects of Solid Thermal Properties on Heat Transfer to Gas Fluidized Beds
,” Ind. Eng. Chem. Fundam.
, 3
(4
), pp. 324
–328
.44.
Molerus
, O.
, 1992
, “Heat Transfer in Gas Fluidized Beds. Part I
,” Powder Technol.
, 70
(1
), pp. 1
–14
.45.
Brown
, R.
, and Overmann
, S.
, 1998
, “The Influence of Particle Thermal Time Constants on Convection Coefficients in Bubbling Fluidized Beds
,” Powder Technol.
, 98
(1
), pp. 13
–20
.46.
Brown
, R.
, Rasberry
, J.
, and Overmann
, S.
, 1998
, “Microencapsulated Phase-Change Materials as Heat Transfer Media in Gas Fluidized Beds
,” Powder Technol.
, 98
(3
), pp. 217
–222
.47.
Izquierdo-Barrientos
, M. A.
, Sobrino
, C.
, and Almendros-Ibáñez
, J. A.
, 2015
, “Experimental Heat Transfer Coefficient in Fixed and Fluidized Beds With PCM
,” Appl. Therm. Eng.
, 78
, pp. 373
–379
.48.
Yagi
, S.
, and Kunii
, D.
, 1962
, “Studies on Heat Transfer in Packed Beds
,” Int. Dev. Heat Transfer
, pp. 750
–759
.49.
Kunii
, D.
, and Levenspiel
, O.
, 1991
, Fluidization Engineering
, Butterworth-Heinemann
, Stoneham, MA
.50.
Schwartz
, C.
, and Smith
, J.
, 1953
, “Flow Distribution in Packed Beds
,” Ind. Eng. Chem.
, 45
(6), pp. 1209
–1218
.51.
Benenati
, R.
, and Brosilow
, C.
, 1962
, “Void Fraction Distribution in Beds of Spheres
,” AIChE J.
, 8
(3
), pp. 359
–361
.52.
Kunii
, D.
, and Smith
, J.
, 1960
, “Heat Transfer Characteristics of Porous Rocks
,” AIChE J.
, 6
(1
), pp. 71
–78
.53.
Yagi
, S.
, and Kunii
, D.
, 1957
, “Studies on Effective Thermal Conductivities in Packed Beds
,” AIChE J.
, 3
(3
), pp. 373
–381
.54.
Krupiezka
, R.
, 1967
, “Analysis of Thermal Conductivity in Granular Materials
,” Int. J. Chem. Eng
, 7
, pp. 122
–144
.55.
Vortmeyer
, D.
, and Adam
, W.
, 1984
, “Steady-State Measurements and Analytical Correlation of Axial Effective Thermal Conductivities in Packed Beds at Low Flow Rates
,” Int. J. Heat Mass Transfer
, 27
(9
), pp. 1465
–1472
.56.
Elsari
, M.
, and Hughes
, R.
, 2002
, “Axial Effective Thermal Conductivities of Packed Beds
,” Appl. Therm. Eng.
, 22
(18
), pp. 1969
–1980
.57.
Gonzo
, E.
, 2002
, “Estimating Correlation for the Effective Thermal Conductivity of Granular Materials
,” Chem. Eng. J.
, 90
(3
), pp. 299
–302
.58.
Wen
, D.
, and Ding
, Y.
, 2006
, “Heat Transfer of Gas Flow Through a Packed Bed
,” Chem. Eng. Sci.
, 61
(11
), pp. 3532
–3542
.59.
Geldart
, D.
, 1973
, “Types of Gas Fluidization
,” Powder Technol.
, 7
(5
), pp. 285
–292
.60.
Grace
, J.
, Leckner
, B.
, Zhu
, J.
, and Cheng
, Y.
, 2006
, “Fluidized Beds
,” Mutiphase Flow Handbook
, Taylor & Francis
, New York. pp. 1
–93
.61.
Baskakov
, A.
, Berg
, B.
, Vitt
, O.
, Filippovsky
, N.
, Hirakosyan
, V.
, Goldobin
, J.
, and Maskaev
, V.
, 1973
, “Heat Transfer to Objects Immersed in Fluidized Beds
,” Powder Technol.
, 8
, pp. 273
–282
.62.
Glicksman
, L.
, and Decker
, N.
, 1980
, “Design Relationships for Predicting Heat Transfer to Tube Bundles in Fluidized Bed Combustion
,” Sixth Annual International Conference on Fluidized Bed Combustors
, Vol. III
, p. 152
.63.
Modrak
, T.
, 1979
, “Fluidized Bed Combustion Development Facility and Commercial Utility AFBC Design Assessment
,” Quarterly Technical Progress Report Prepared for ERPI.64.
Groenewold
, H.
, and Tsotsas
, E.
, 2007
, “Drying in Fluidized Beds With Immersed Heating Elements
,” Chem. Eng. Sci.
, 62
, pp. 481
–502
.65.
Natale
, F. D.
, Lancia
, A.
, and Nigro
, R.
, 2009
, “Surface-to-Bed Heat Transfer in Fluidised Beds of Fine Particles
,” Powder Technol.
, 195
(2
), pp. 135
–142
.66.
Merzsch
, M.
, Lechner
, S.
, and Krautz
, H. J.
, 2013
, “Heat-Transfer From Single Horizontal Tubes in Fluidized Beds: Influence of Tube Diameter, Moisture and Diameter-Definition by Geldart C Fines Content
,” Powder Technol.
, 235
, pp. 1038
–1046
.67.
Kim
, S. W.
, and Kim
, S. D.
, 2013
, “Heat Transfer Characteristics in a Pressurized Fluidized Bed of Fine Particles With Immersed Horizontal Tube Bundle
,” Int. J. Heat Mass Transfer
, 64
, pp. 269
–277
.68.
Nellis
, G.
, and Klein
, S.
, 2009
, Heat Transfer
, Cambridge University Press
, New York.69.
Mehling
, H.
, and Cabeza
, L. F.
, 2008
, Heat and Cold Storage With PCM
, Springer
, Berlin
.70.
Rady
, M.
, 2009
, “Study of Phase Changing Characteristics of Granular Composites Using Differential Scanning Calorimetry
,” Energy Convers. Manage.
, 50
(5
), pp. 1210
–1217
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