Thermal performance of a single-layer packed metal pebble-bed exposed to high energy fluxes
Shengchun ZHANG, Zhifeng WANG, Hui BIAN, Pingrui HUANG
Thermal performance of a single-layer packed metal pebble-bed exposed to high energy fluxes
It is difficult to accurately measure the temperature of the falling particle receiver since thermocouples may directly be exposed to the solar flux. This study analyzes the thermal performance of a packed bed receiver using large metal spheres to minimize the measurement error of particle temperature with the sphere temperature reaching more than 700°C in experiments in a solar furnace and a solar simulator. The numerical models of a single sphere and multiple spheres are verified by the experiments. The multiple spheres model includes calculations of the external incidence, view factors, and heat transfer. The effects of parameters on the temperature variations of the spheres, the transient thermal efficiency, and the temperature uniformity are investigated, such as the ambient temperature, particle thermal conductivity, energy flux, sphere diameter, and sphere emissivity. When the convection is not considered, the results show that the sphere emissivity has a significant influence on the transient thermal efficiency and that the temperature uniformity is strongly affected by the energy flux, sphere diameter, and sphere emissivity. As the emissivity increases from 0.5 to 0.9, the transient thermal efficiency and the average temperature variance increase from 53.5% to 75.7% and from 14.3% to 27.1% at 3.9 min, respectively. The average temperature variance decreases from 29.7% to 9.3% at 2.2 min with the sphere diameter increasing from 28.57 mm to 50 mm. As the dimensionless energy flux increases from 0.8 to 1.2, the average temperature variance increases from 13.4% to 26.6% at 3.4 min.
packed bed / solar thermal power plants / high heat fluxes / radiative heat transfer
[1] |
Liao Z R, Li X, Xu C, Chang C, Wang Z F. Allowable flux density on a solar central receiver. Renewable Energy, 2014, 62: 747–753
CrossRef
Google scholar
|
[2] |
Li X, Kong W Q, Wang Z F, Chang C, Bai F W. Thermal model and thermodynamic performance of molten salt cavity receiver. Renewable Energy, 2010, 35(5): 981–988
CrossRef
Google scholar
|
[3] |
Pitz-Paal R, Hoffschmidt B, Böhmer M, Becker M. Experimental and numerical evaluation of the performance and flow stability of different types of open volumetric absorbers under non-homogeneous irradiation. Solar Energy, 1997, 60(3–4): 135–150
CrossRef
Google scholar
|
[4] |
Ho C K. A review of high-temperature particle receivers for concentrating solar power. Applied Thermal Engineering, 2016, 109: 958–969
CrossRef
Google scholar
|
[5] |
Ho C K, Christian J M, Romano D, Yellowhair J, Siegel N, Savoldi L, Zanino R. Characterization of particle flow in a free-falling solar particle receiver. Journal of Solar Energy Engineering, 2017, 139(2): 021011
CrossRef
Google scholar
|
[6] |
Jiang S Y, Yang X T, Tang Z W, Wang W J, Tu J Y, Liu Z Y, Li J. Experimental and numerical validation of a two-region-designed pebble bed reactor with dynamic core. Nuclear Engineering and Design, 2012, 246: 277–285
CrossRef
Google scholar
|
[7] |
Kim S H, Kim H C, Kim J K, Noh J M. A study on evaluation of pebble flow velocity with modification of the kinematic model for pebble bed reactor. Annals of Nuclear Energy, 2013, 55: 322–330
CrossRef
Google scholar
|
[8] |
Li Y J, Xu Y, Jiang S Y. DEM simulations and experiments of pebble flow with monosized spheres. Powder Technology, 2009, 193(3): 312–318
CrossRef
Google scholar
|
[9] |
Wang Z F, Bai F W, Li X, Solid pebble flow receiver for solar thermal power generation. China Patent, CN 101634490B, 2009
|
[10] |
van Antwerpen W, du Toit C G, Rousseau P G. A review of correlations to model the packing structure and effective thermal conductivity in packed beds of mono-sized spherical particles. Nuclear Engineering and Design, 2010, 240(7): 1803–1818
CrossRef
Google scholar
|
[11] |
Zehner P, Schlünder E U. Effective thermal conductivity at moderate temperatures. Chemical Engineering Technology, 1970, 42(14): 933–941 (in German)
CrossRef
Google scholar
|
[12] |
Kuipers J A M, Prins W, Van Swaaij W P M. Numerical-calculation of wall-to-bed heat-transfer coefficients in gas-fluidized beds. AIChE Journal, 1992, 38(7): 1079–1091
CrossRef
Google scholar
|
[13] |
Martinek J, Ma Z W. Granular flow and heat-transfer study in a near-blackbody enclosed particle receiver. Journal of Solar Energy Engineering, 2015, 137(5): 051008
CrossRef
Google scholar
|
[14] |
Marti J, Haselbacher A, Steinfeld A. A numerical investigation of gas-particle suspensions as heat transfer media for high-temperature concentrated solar power. International Journal of Heat and Mass Transfer, 2015, 90: 1056–1070
CrossRef
Google scholar
|
[15] |
Feng Y T, Han K, Owen D R J. Discrete thermal element modelling of heat conduction in particle systems: pipe-network model and transient analysis. Powder Technology, 2009, 193(3): 248–256
CrossRef
Google scholar
|
[16] |
Oschmann T, Schiemann M, Kruggel-Emden H. Development and verification of a resolved 3D inner particle heat transfer model for the Discrete Element Method (DEM). Powder Technology, 2016, 291: 392–407
CrossRef
Google scholar
|
[17] |
Tsory T, Ben-Jacob N, Brosh T, Levy A. Thermal DEM–CFD modeling and simulation of heat transfer through packed bed. Powder Technology, 2013, 244: 52–60
CrossRef
Google scholar
|
[18] |
Slavin A J, Londry F A, Harrison J. A new model for the effective thermal conductivity of packed beds of solid spheroids: alumina in helium between 100°C and 500°C. International Journal of Heat and Mass Transfer, 2000, 43(12): 2059–2073
CrossRef
Google scholar
|
[19] |
Gómez M A, Patiño D, Comesaña R, Porteiro J, Álvarez Feijoo M A, Míguez J L. CFD simulation of a solar radiation absorber. International Journal of Heat and Mass Transfer, 2013, 57(1): 231–240
CrossRef
Google scholar
|
[20] |
Cheng G J, Yu A B. Particle scale evaluation of the effective thermal conductivity from the structure of a packed bed: radiation heat transfer. Industrial & Engineering Chemistry Research, 2013, 52(34): 12202–12211
CrossRef
Google scholar
|
[21] |
Wu H, Gui N, Yang X T, Tu J Y, Jiang S Y. Numerical simulation of heat transfer in packed pebble beds: CFD-DEM coupled with particle thermal radiation. International Journal of Heat and Mass Transfer, 2017, 110: 393–405
CrossRef
Google scholar
|
[22] |
Grena R. Thermal simulation of a single particle in a falling-particle solar receiver. Solar Energy, 2009, 83(8): 1186–1199
CrossRef
Google scholar
|
[23] |
Zhu Q B, Xuan Y M. Pore scale numerical simulation of heat transfer and flow in porous volumetric solar receivers. Applied Thermal Engineering, 2017, 120: 150–159
CrossRef
Google scholar
|
[24] |
Koekemoer A, Luckos A. Effect of material type and particle size distribution on pressure drop in packed beds of large particles: extending the Ergun equation. Fuel, 2015, 158: 232–238
CrossRef
Google scholar
|
[25] |
Tan Z, Guo G W. Thermophysical Properties of Engineering Alloys. Beijing: Metallurgical Industry Press, 1994
|
[26] |
Gregory N, Sanford K. Heat Transfer. New York: Cambridge University Press, 2009
|
[27] |
Cheng G J, Yu A B, Zulli P. Evaluation of effective thermal conductivity from the structure of a packed bed. Chemical Engineering Science, 1999, 54(19): 4199–4209
CrossRef
Google scholar
|
[28] |
Zhou Z Y, Yu A B, Zulli P. Particle scale study of heat transfer in packed and bubbling fluidized beds. AIChE Journal, 2009, 55(4): 868–884
CrossRef
Google scholar
|
[29] |
Yunus A C. Heat Transfer: A practical approach. New York: McGraw-Hill, 2003
|
[30] |
ANSYS Inc. ANSYS Fluent 12.0 UDF Manual. 2009
|
[31] |
Bergman T L, Incropera F P. Fundamentals of Heat and Mass Transfer. Jefferson City: John Wiley & Sons, 2011
|
/
〈 | 〉 |